Nothing Special   »   [go: up one dir, main page]

You seem to have javascript disabled. Please note that many of the page functionalities won't work as expected without javascript enabled.
 
 
Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (82)

Search Parameters:
Keywords = group of motions of a plane

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
10 pages, 1710 KiB  
Article
Spinopelvic Motion Evaluation in Patients Undergoing Total Hip Arthroplasty and Patient-Specific Target for Acetabular Cup Placement
by Antonios A. Koutalos, Nifon K. Gkekas, Vasileios Akrivos, Nikolaos Stefanou and Theofilos Karachalios
J. Pers. Med. 2024, 14(12), 1161; https://doi.org/10.3390/jpm14121161 - 19 Dec 2024
Viewed by 759
Abstract
Background/Objectives: Instability is a major reason for revision after total hip arthroplasty (THA), and acetabular cup placement in the “traditional” safe zone does not protect against dislocations. Spinopelvic mobility may play a role in impingement and dislocation after THA. Personalized acetabular cup [...] Read more.
Background/Objectives: Instability is a major reason for revision after total hip arthroplasty (THA), and acetabular cup placement in the “traditional” safe zone does not protect against dislocations. Spinopelvic mobility may play a role in impingement and dislocation after THA. Personalized acetabular cup placement that incorporates spinopelvic mobility is currently lacking in the literature. Methods: The spinopelvic motion of 116 patients was evaluated during preoperative planning. All patients underwent radiological assessments with an anteroposterior pelvis radiograph in the standing and supine positions and a lateral view of the lumbar spine and pelvis in the standing and sitting positions. The pelvic incidence, pelvic tilt, sacral slope, standing anterior pelvic plane tilt, sitting anterior pelvic plane tilt, and lumbar lordosis angle were measured, and the degree of pelvic motion from standing to sitting was calculated. The development of the patient-specific target for the acetabular cup was based on the mean mobility of the whole group and the specific posture of each patient. Results: The average pelvic incidence was 51.0 ± 13.1 degrees, the sacral slope was 35.0 ± 10.3 degrees, the pelvic tilt was 16.0 ± 13.3 degrees, the standing anterior pelvic plane tilt was 3.4 ± 12 degrees backward, and the degree of lumbar lordosis was 39.5 ± 11.3 degrees. The mean spinopelvic mobility was 27.3 ± 13.4 degrees. The measurements had good to excellent interobserver and intraobserver reliability. On the basis of these measurements, we developed a novel algorithm for a patient-specific target for acetabular cup placement. Conclusions: the evaluation of spinopelvic mobility has good to excellent interobserver and intraobserver reliability and can be used for personalized acetabular cup placement. Full article
(This article belongs to the Special Issue Progress on Personalized Diagnosis and Treatment of Osteoarthritis)
Show Figures

Figure 1

Figure 1
<p>Spinopelvic measurements. Pelvic incidence (PI), represented by the yellow line, is the angle between the line perpendicular to the middle of the sacral end plate and the line connecting this middle of the sacral end plate and the center of the femoral heads. Pelvic tilt (PT), depicted by the blue line, is the angle between the line connecting the center of the femoral heads and the midpoint of the sacral end plate and the vertical axis. Finally, sacral slope (SS), illustrated by the orange line, is the angle between the sacral end plate and the horizontal axis. PI is equal to the sum of the PT and the SS (PI = PT + SS).</p>
Full article ">Figure 2
<p>Lumbar lordosis (LL) and anterior pelvic plane tilt (APPt). LL, which is depicted as the angle between the orange and the blue lines, is defined as the Cobb angle formed between the lower-end plate of the fifth lumbar vertebra and the upper-end plate of the first lumbar vertebra. APPt, which is represented by the green line, is the angle formed by the line connecting the pubis symphysis and the anterior superior iliac spines and the vertical axis. In this figure, the APPt in the standing position is shown (APTT<sub>stand</sub>). Similar angle can be measured in the sitting position.</p>
Full article ">Figure 3
<p>Graph depicting the target anteversion in relation to anterior pelvic plane tilt (APPt) in standing and sitting positions. X−axis represents APPt in sitting position (APPt<sub>sit</sub>), y−axis represents APPt in standing position (APPt<sub>stand</sub>), and z−axis is the suggested anteversion according to the algorithm.</p>
Full article ">Figure 4
<p>Graph depicting the target inclination in relation to anterior pelvic plane tilt (APPt) in standing and sitting positions. X−axis represents APPt in sitting position (APPt<sub>sit</sub>), y−axis represents APPt in standing position (APPt<sub>stand</sub>), and z−axis is the suggested inclination according to the algorithm.</p>
Full article ">
15 pages, 2590 KiB  
Article
Evaluating the Effectiveness of Ultrasound-Guided Subacromial-Subdeltoid Bursa and Coracohumeral Ligament Corticosteroid Injections With and Without Physiotherapy in Adhesive Capsulitis Treatment
by Chu-Wen Tang, Ting-Yu Lin, Peng-Chieh Shen and Fuk-Tan Tang
Biomedicines 2024, 12(12), 2668; https://doi.org/10.3390/biomedicines12122668 - 22 Nov 2024
Viewed by 704
Abstract
Background: The objective of this study was to investigate the effect of ultrasound-guided corticosteroid injection to the subacromial-subdeltoid bursa (SSB) and coracohumeral ligament (CHL) in treating adhesive capsulitis, with a particular focus on evaluating the potential benefits of regular electrotherapy and conventional [...] Read more.
Background: The objective of this study was to investigate the effect of ultrasound-guided corticosteroid injection to the subacromial-subdeltoid bursa (SSB) and coracohumeral ligament (CHL) in treating adhesive capsulitis, with a particular focus on evaluating the potential benefits of regular electrotherapy and conventional rehabilitation exercises. Methods: A total of 29 patients with unilateral shoulder pain and restricted shoulder range of motion (ROM) were included. Corticosteroids were delivered to the subacromial-subdeltoid bursa (SSB) and coracohumeral ligament (CHL) through a single percutaneous injection. Group 1 consisted of 18 patients who received injections only, while Group 2 comprised 11 patients who received injections in combination with regular physiotherapy. Shoulder Pain and Disability Index (SPADI) scores and ROM were assessed before the injection, and again at 4, 8, and 12 weeks following the intervention. A multivariate mixed-effects model with repeated measurements was conducted for the variables. Results: Electrotherapy and traditional rehabilitation exercises did not enhance the effectiveness of this injection approach. Pain, upper extremity function, and ROM in all planes were all significantly improved with a corticosteroid injection to the CHL and SSB. Conclusions: Physiotherapy did not offer additional benefits when combined with ultrasound-guided corticosteroid injection to the CHL and SSB. The injection alone significantly improved pain, disability, and ROM in patients with adhesive capsulitis. Further research is required to optimize current physiotherapy with electrotherapy and traditional rehabilitation exercises after ultrasound-guided corticosteroid injections. Full article
(This article belongs to the Special Issue Tendinopathy and Myopathy: From Molecular Basis to Therapy)
Show Figures

Figure 1

Figure 1
<p>Patient positioning.</p>
Full article ">Figure 2
<p>(<b>a</b>) Patient positioning and transducer placement for ultrasound-guided injection to the coracohumeral ligament (CHL); (<b>b</b>) Ultrasound image and illustration of the supraspinatus tendon axial oblique view; (<b>c</b>) Ultrasound image and illustration of the needle targeting the subacromial-subdeltoid bursa and CHL.</p>
Full article ">Figure 3
<p>(<b>a</b>) Patient positioning and transducer placement for ultrasound-guided injection to the subacromial-subdeltoid bursa (SSB); (<b>b</b>) Ultrasound image and illustration of the needle passing through the SSB along the long axis of supraspinatus tendon.</p>
Full article ">Figure 4
<p>Effect of time and group on SPADI.</p>
Full article ">Figure 5
<p>Effect of time and group on AROM.</p>
Full article ">Figure 6
<p>Effect of time and group on PROM.</p>
Full article ">
11 pages, 1055 KiB  
Article
Influence of Sagittal Cervical and Thoracic Range of Motion on Neck Pain Severity in Young White-Collar Workers: A Cross-Sectional Study
by Tomasz Kuligowski, Anna Skrzek and Błażej Cieślik
J. Clin. Med. 2024, 13(18), 5412; https://doi.org/10.3390/jcm13185412 - 12 Sep 2024
Viewed by 1111
Abstract
Background: Neck pain (NP) is a prevalent musculoskeletal disorder, especially among individuals with sedentary occupations. The interplay between cervical and thoracic spine mobility is hypothesized to contribute significantly to NP severity, yet this relationship requires further exploration. Methods: This cross-sectional study [...] Read more.
Background: Neck pain (NP) is a prevalent musculoskeletal disorder, especially among individuals with sedentary occupations. The interplay between cervical and thoracic spine mobility is hypothesized to contribute significantly to NP severity, yet this relationship requires further exploration. Methods: This cross-sectional study involved 179 young white-collar workers with NP lasting for at least six weeks. Participants were stratified into mild (n = 78) and moderate (n = 101) pain groups based on their scores on the Northwick Park Neck Pain Questionnaire (NPQ). Cervical and thoracic range of motion (ROM) in the sagittal plane was measured using inclinometers. NP severity was further assessed using the NPQ and the Neck Disability Index (NDI). Correlation, regression, and mediation analyses were conducted to investigate the relationship between cervical and thoracic ROM and NP severity. Results: Thoracic ROM was higher in the mild pain group (median: 47.35, IQR: 10.13) than in the moderate pain group (median: 42.10, IQR: 13.60; p < 0.001). The NDI had a negative correlation with thoracic ROM (r = −0.65; p < 0.05) and a positive correlation with cervical ROM (r = 0.84; p < 0.01). Additionally, thoracic ROM mediated the effect of cervical ROM on NP, particularly influencing NDI scores (p < 0.01). Conclusions: This study found a significant association between reduced thoracic ROM and increased NP severity, highlighting the role of thoracic spine mobility in NP among young white-collar workers. Targeted interventions for thoracic dysfunction may reduce compensatory cervical strain and improve NP management, suggesting that thoracic spine assessments should be integrated into routine clinical evaluations. Full article
(This article belongs to the Special Issue Musculoskeletal Disorders: Clinical Rehabilitation and Physiotherapy)
Show Figures

Figure 1

Figure 1
<p>Cervical (<b>A</b>) and thoracic (<b>B</b>) region of the spine ROM within each subgroup.</p>
Full article ">Figure 2
<p>Correlation heatmap. Note: All displayed correlation values are statistically significant at <span class="html-italic">p</span> &lt; 0.05.</p>
Full article ">
16 pages, 6402 KiB  
Article
IDA-Based Seismic Fragility Analysis of a Concrete-Filled Square Tubular Frame
by Xiaoqiang Liu and Chengxiang Xu
Buildings 2024, 14(9), 2686; https://doi.org/10.3390/buildings14092686 - 28 Aug 2024
Cited by 1 | Viewed by 648
Abstract
Based on the incremental dynamic analysis (IDA) method, this paper conducts seismic fragility analysis of a CFST plane frame, a CFST spatial frame under 1D (one-dimensional) ground motions, and a CFST spatial frame under 2D (two-dimensional) ground motions, with different attacking angles. Firstly, [...] Read more.
Based on the incremental dynamic analysis (IDA) method, this paper conducts seismic fragility analysis of a CFST plane frame, a CFST spatial frame under 1D (one-dimensional) ground motions, and a CFST spatial frame under 2D (two-dimensional) ground motions, with different attacking angles. Firstly, nine-story, three-span CFST frame structures (including the plane frame and spatial frame) were modeled in OpenSees, based on the accurate simulation of the hysteresis performance of the test CFST frames. Then, twenty-five groups of ground motions were employed to analyze the seismic response. Lastly, the IDA curve clusters, probabilistic demand models, and seismic fragility curves of frame structures were researched, respectively. The analytical results showed that the exceeding probability of the spatial frame under 2D ground motions was successively greater than that under 1D ground motions, and greater than the plane frame, and the maximum difference at each performance level was up to 6% and 16%, respectively. The fragility analysis result of the spatial frame was sensitive to the attacking angle of ground motion, and the exceeding probability of the 135°, 150°, and 165° fragility curves was larger than that of the 0° (original attacking angle) fragility curve at each performance level. The research results provide a reference for seismic fragility analysis of CFST frame structures employing the IDA method. Full article
(This article belongs to the Section Building Materials, and Repair & Renovation)
Show Figures

Figure 1

Figure 1
<p>Acceleration time histories of “RSN3471_CHICHI.06_TCU075”. (<b>a</b>) Horizontal component E. (<b>b</b>) Horizontal component N.</p>
Full article ">Figure 2
<p>Structure plan view (unit: mm).</p>
Full article ">Figure 3
<p>On-site photographs. (<b>a</b>) KJE1 and (<b>b</b>) KJE2.</p>
Full article ">Figure 4
<p>Concrete02 stress–strain curve.</p>
Full article ">Figure 5
<p>Steel02 stress–strain curve.</p>
Full article ">Figure 6
<p>Comparison of hysteresis curves. (<b>a</b>) KJE1 and (<b>b</b>) KJE2.</p>
Full article ">Figure 7
<p>Frame models. (<b>a</b>) Plane frame model and (<b>b</b>) spatial frame model.</p>
Full article ">Figure 8
<p>Component cross-section. (<b>a</b>) Column and (<b>b</b>) beam.</p>
Full article ">Figure 9
<p>Response spectra of the selected ground motion records. (<b>a</b>) Horizontal component, N, and (<b>b</b>) horizontal component, E.</p>
Full article ">Figure 10
<p>Plane frame subjected to 1D ground motions.</p>
Full article ">Figure 11
<p>IDA curve clusters of the in-plane frame: (<b>a</b>) 25N, (<b>b</b>) 25E, and (<b>c</b>) 25N + 25E.</p>
Full article ">Figure 12
<p>Spatial frame subjected to 1D ground motions.</p>
Full article ">Figure 13
<p>IDA curve clusters of the spatial frame subjected to 1D ground motions: (<b>a</b>) 25N, (<b>b</b>) 25E, and (<b>c</b>) 25N + 25E.</p>
Full article ">Figure 14
<p>Spatial frame subjected to 2D ground motions considering the attacking angle.</p>
Full article ">Figure 15
<p>IDA curve clusters of the spatial frame subjected to 2D ground motions with different attacking angles.</p>
Full article ">Figure 16
<p>Comparison of <math display="inline"><semantics> <mrow> <mover accent="true"> <mrow> <mi mathvariant="normal">θ</mi> </mrow> <mo stretchy="true">¯</mo> </mover> </mrow> </semantics></math><sub>max</sub> of different attacking angles: (<b>a</b>) 0°–90° and (<b>b</b>) 105°–180°.</p>
Full article ">Figure 17
<p>Seismic fragility curves of the spatial frame subjected 2D ground motions of different attacking angles.</p>
Full article ">Figure 17 Cont.
<p>Seismic fragility curves of the spatial frame subjected 2D ground motions of different attacking angles.</p>
Full article ">Figure 18
<p>Fragility analysis curves of the CFST plane frame and spatial frame.</p>
Full article ">
11 pages, 1735 KiB  
Article
Mobility Requirements and Joint Loading during Straight Walking and 90° Turns in Healthy Older People and Those with Hip Osteoarthritis
by Hannah Steingrebe, Stefan Sell and Thorsten Stein
J. Clin. Med. 2024, 13(17), 5021; https://doi.org/10.3390/jcm13175021 - 25 Aug 2024
Viewed by 972
Abstract
Background/Objectives: Hip mobility and joint loading in hip osteoarthritis (HOA) patients are mostly assessed during straight walking. Yet, mobility limitations in the frontal and transverse planes are rarely found during this task in subjects with mild-to-moderate symptoms. Turning movements are frequently encountered [...] Read more.
Background/Objectives: Hip mobility and joint loading in hip osteoarthritis (HOA) patients are mostly assessed during straight walking. Yet, mobility limitations in the frontal and transverse planes are rarely found during this task in subjects with mild-to-moderate symptoms. Turning movements are frequently encountered during everyday life and might require larger hip mobility compared to straight walking, especially in the frontal and transverse planes. Thus, hip mobility and hip loading during straight walking and 90° turns in persons with HOA and healthy older adults were compared in this study. Methods: A retrospective analysis was conducted on 21 subjects with mild-to-moderate HOA and 21 healthy controls. Hip angles and moments were assessed during straight walking and 90° step and spin turns. Gait analysis was conducted using a motion capture system and a force plate. Group and movement task differences were assessed with a mixed-model ANOVA. Results: Peak abduction and adduction angles were largest during the step and spin turn, respectively, as were the group differences between HOA subjects and healthy subjects. Both turns require a greater transverse hip range of motion compared to straight walking. Limitations in transverse hip mobility in the HOA group were especially prominent during the step turn. Both turns cause higher joint moments than straight walking. Conclusions: The additional inclusion of 90° step and spin turns into gait analysis can enhance early identification of hip mobility limitations in the frontal and transverse planes in subjects with mild-to-moderate hip osteoarthritis. Early diagnosis is crucial for the timely application of conservative treatment strategies. Full article
Show Figures

Figure 1

Figure 1
<p>Schematic representation of foot placement during straight walking, 90° spin turn, and 90° step turn. Coloured feet represent affected limbs in hip osteoarthritis (HOA) subjects and matched limbs in healthy subjects. Green = straight walking, purple = 90° step turn, and yellow = 90° spin turn.</p>
Full article ">Figure 2
<p>Mean and SD of peak hip angles [°] and external hip joint moments [Nm/kg]. Green = straight walking, purple = 90° step turn, and yellow = 90° spin turn. Solid bars = HOA subjects; hatched bars = healthy subjects.</p>
Full article ">Figure 3
<p>Sagittal, frontal, and transverse hip joint angle [°] and external hip joint moment [Nm/kg] time curves (mean) across the stance phase [%]. Green = straight walking, purple = 90° step turn, and yellow = 90° spin turn. Dashed line = healthy subjects; solid line = HOA subjects.</p>
Full article ">Figure 4
<p>Mean and standard deviation of parameters with significant interaction effect of group and movement task: (<b>a</b>) peak hip adduction angle, (<b>b</b>) peak hip abduction angle, (<b>c</b>) peak hip internal rotation angle, (<b>d</b>) sagittal hip ROM, and (<b>e</b>) transverse hip ROM. Dashed line = healthy subjects; solid line = HOA subjects.</p>
Full article ">
19 pages, 10306 KiB  
Article
Study on Formation Mechanism of Advance Grouting Curtain in Ore-Rock Contact Zone in Water-Rich Roadway
by Bei Kong, Lijun Han and Jiongze Zheng
Appl. Sci. 2024, 14(14), 6257; https://doi.org/10.3390/app14146257 - 18 Jul 2024
Viewed by 1259
Abstract
During tunnel development in metal mines, there are situations where a zone of contact between the ore and the surrounding rock is reached. Nevertheless, there is a notable disparity in the mechanical characteristics between the ore and the surrounding rock, leading to a [...] Read more.
During tunnel development in metal mines, there are situations where a zone of contact between the ore and the surrounding rock is reached. Nevertheless, there is a notable disparity in the mechanical characteristics between the ore and the surrounding rock, leading to a specific response of grouting in the contact area between the ore and rock. This response differs from the typical diffusion and curtain formation effects observed when using grouting slurry. This study investigates the effects of grouting curtain creation when implementing highly advanced curtain grouting in a water-rich highway, utilizing the engineering conditions of Zhongjiu Iron Mine as a reference. At first, Darcy’s law and the Navier-Stokes equation are used to control the flow of fluid in the area where the ore-rock meets the rock around it. COMSOL, a multi-physical field coupled analysis software, is employed for the numerical simulation of slurry plane diffusion, single-hole, and group-hole curtain grouting. Two optimization strategies for group-hole grouting parameters are subsequently suggested and proven using numerical simulation. Finally, the project implements the research to assess the influence of curtain grouting by employing the water influx of the exploratory apertures as the standard of comparison before and after grouting; the results demonstrate that the slurry forms a highly efficient grouting curtain, effectively impeding water infiltration. The findings indicate that slurry diffusion in the contact zone between the ore and rock follows a spherical motion pattern, resulting in a considerable decrease in the flow rate compared to the previous stage. The force of gravity visibly affects the spreading of the slurry in the area where the ore and rock come into contact, causing the slurry to mostly spread downwards. This inclination intensifies as the rate of grouting is elevated. To successfully address the inadequate distribution of the slurry, one can either increase the rate at which grouting is performed or decrease the distance between the grouting holes. Full article
Show Figures

Figure 1

Figure 1
<p>Geological conditions of Zhongjiu Iron Mine’s 2# vein-piercing lane. (<b>a</b>) Geographical location map of Zhongjiu Iron Mine; (<b>b</b>) −380 m horizontal 2# threading lane location diagram; (<b>c</b>) Geological profile.</p>
Full article ">Figure 2
<p>Computational model for porous media.</p>
Full article ">Figure 3
<p>Morphology of stone body under different grouting rates.</p>
Full article ">Figure 4
<p>Changes in slurry pressure and velocity under different grouting rates.</p>
Full article ">Figure 5
<p>Morphology of stone body under different water pressures.</p>
Full article ">Figure 6
<p>Changes in slurry pressure and velocity under different water pressures.</p>
Full article ">Figure 7
<p>Calculation model of single-hole grouting. (<b>a</b>) Model structure (<b>b</b>) Model meshing.</p>
Full article ">Figure 8
<p>Single-hole curtain body morphology at different grouting rates. (<b>a</b>) Vg = 0.1 m/s; (<b>b</b>) Vg = 0.2 m/s; (<b>c</b>) Vg = 0.3 m/s.</p>
Full article ">Figure 9
<p>Single-hole curtain body morphology under different water pressures. (<b>a</b>) 0 Mpa; (<b>b</b>) 1.5 Mpa; (<b>c</b>) 3 MPa.</p>
Full article ">Figure 10
<p>Multiple Borehole Grouting Calculation Model. (<b>a</b>) Model structure (<b>b</b>) Model meshing.</p>
Full article ">Figure 11
<p>The diffusion pattern of grouting slurry in multi-hole injection. (<b>a</b>) First sequence hole grouting; (<b>b</b>) Second sequence hole grouting; (<b>c</b>) Third sequence hole grouting.</p>
Full article ">Figure 12
<p>The section shape of the first end of the curtain body changes. (<b>a</b>) First sequence hole grouting; (<b>b</b>) Second sequence hole grouting; (<b>c</b>) Third sequence hole grouting.</p>
Full article ">Figure 13
<p>The shape change of the contact zone of the curtain body. (<b>a</b>) First sequence hole grouting; (<b>b</b>) Second sequence hole grouting; (<b>c</b>) Third sequence hole grouting.</p>
Full article ">Figure 14
<p>The end section of the curtain body changes. (<b>a</b>) First sequence hole grouting; (<b>b</b>) Second sequence hole grouting; (<b>c</b>) Third sequence hole grouting.</p>
Full article ">Figure 15
<p>The grout diffusion pattern changes after increasing the grouting rate. (<b>a</b>) First sequence hole grouting; (<b>b</b>) Second sequence hole grouting; (<b>c</b>) Third sequence hole grouting.</p>
Full article ">Figure 16
<p>Optimization calculation model of grouting hole spacing. (<b>a</b>) Original fabric hole design; (<b>b</b>) Optimized rear fabric hole design.</p>
Full article ">Figure 17
<p>The grout diffusion pattern changes after hole optimization. (<b>a</b>) First sequence hole grouting; (<b>b</b>) Second sequence hole grouting; (<b>c</b>) Third sequence hole grouting.</p>
Full article ">Figure 18
<p>Schematic layout of grouting holes in the 2# vein-piercing lane at the −380 m level of the wind shaft of Zhongjiu Iron Mine. (<b>a</b>) Schematic layout of grouting holes; (<b>b</b>) The construction of the grouting hole; (<b>c</b>) Side view of grouting hole layout.</p>
Full article ">Figure 19
<p>Grouting process flow chart.</p>
Full article ">Figure 20
<p>Bar graph of borehole water influx records before and after grouting.</p>
Full article ">
21 pages, 15278 KiB  
Article
Dynamic Analysis and Optimization of the Coupling System of Vibrating Flip-Flow Screen and Material Group
by Sanpeng Gong, Chenhao Wang, Jialiang Guo, Ziqi Qiao, Guofeng Zhao, Junkai Fan, Ningning Xu and Xinwen Wang
Symmetry 2024, 16(7), 913; https://doi.org/10.3390/sym16070913 - 17 Jul 2024
Viewed by 1154
Abstract
Vibrating flip-flow screens (VFFSs) provide an effective solution for deeply screening moist and fine-grained minerals, and an accurate dynamic model of VFFSs is critical for its dynamic analysis and optimization, thereby improving the vibration stability and symmetry of VFFSs. In this paper, uniaxial [...] Read more.
Vibrating flip-flow screens (VFFSs) provide an effective solution for deeply screening moist and fine-grained minerals, and an accurate dynamic model of VFFSs is critical for its dynamic analysis and optimization, thereby improving the vibration stability and symmetry of VFFSs. In this paper, uniaxial tension, uniaxial compression, plane tension, and shear stress relaxation experiments were conducted on screen panel samples to illustrate that the third-order Ogden model and the generalized Maxwell model can accurately describe the hyperelasticity and viscoelasticity of screen panels. Then, the coupling method of finite element and discrete element was adopted to establish the simulation model of the screen panel and material group coupling system, and the dynamics of the coupling system under different loading conditions were explored. Finally, the dynamic model of the coupling system of VFFSs mass, screen panel, and material group was proposed, and the non-dominated sorting genetic algorithm II was applied to optimize the system’s dynamic response. The results reveal that the use of optimized shear springs can reduce the relative amplitude change rate of the main and floating screen frame by 44.30% while maintaining the periodic motion of the VFFSs under operation conditions, greatly enhancing the stability of the VFFSs system. Full article
(This article belongs to the Section Engineering and Materials)
Show Figures

Figure 1

Figure 1
<p>Mechanical test of screen panel samples.</p>
Full article ">Figure 2
<p>Mechanical test results of screen panel samples: (<b>a</b>) uniaxial tension, (<b>b</b>) uniaxial compression, (<b>c</b>) plane tension.</p>
Full article ">Figure 3
<p>Comparison between experiment and simulation results: (<b>a</b>) uniaxial tension, (<b>b</b>) biaxial tension, (<b>c</b>) plane tension, and (<b>d</b>) error analysis.</p>
Full article ">Figure 4
<p>Stress relaxation test of screen panel: (<b>a</b>) experimental setup and (<b>b</b>) experimental data.</p>
Full article ">Figure 5
<p>Comparison of simulation results of generalized Maxwell model and test data.</p>
Full article ">Figure 6
<p>Establishment process of simulation model of screen panel and material group coupling system.</p>
Full article ">Figure 7
<p>Stress of the screen panel versus time: (<b>a</b>) no loading material and (<b>b</b>) loading material.</p>
Full article ">Figure 8
<p>Hysteresis loops of the coupling system under different loading material conditions.</p>
Full article ">Figure 9
<p>Dynamic stiffness and lag angle of the screen panel with loading of different numbers of particles.</p>
Full article ">Figure 10
<p>New dynamic model of an industrial VFFSs.</p>
Full article ">Figure 11
<p>Flowchart used for calculating the dynamic response of the VFFSs system.</p>
Full article ">Figure 12
<p>Simulation results of dynamic response of VFFS under loading material conditions: (<b>a</b>) <span class="html-italic">x</span><sub>1</sub> and (<b>b</b>) <span class="html-italic">x</span><sub>2</sub>.</p>
Full article ">Figure 13
<p>Dynamic response of VFFS system in frequency region: (<b>a</b>) <span class="html-italic">x</span><sub>1</sub> and (<b>b</b>) <span class="html-italic">x</span><sub>2</sub>.</p>
Full article ">Figure 14
<p>Dynamic response of VFFSs versus stiffness: (<b>a</b>) <span class="html-italic">x</span><sub>1</sub> and (<b>b</b>) <span class="html-italic">x</span><sub>2</sub>, and versus damping: (<b>c</b>) <span class="html-italic">x</span><sub>1</sub> and (<b>d</b>) <span class="html-italic">x</span><sub>2.</sub></p>
Full article ">Figure 15
<p>Phase portrait of <span class="html-italic">x</span><sub>2</sub> using the baseline rubber shear spring while changing (<b>a</b>) the rubber shear spring elastic stiffness <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mi>e</mi> </mrow> </msub> </mrow> </semantics></math>, and (<b>b</b>) main screen frame mass <span class="html-italic">m</span><sub>1</sub> and floating screen frame mass <span class="html-italic">m</span><sub>2</sub>.</p>
Full article ">Figure 16
<p>Pareto optimal solution of objective functions.</p>
Full article ">Figure 17
<p>Phase portraits of <span class="html-italic">x</span><sub>2</sub> using (<b>a</b>) RSS (A), (<b>b</b>) RSS (B), (<b>c</b>) RSS (C), and (<b>d</b>) RSS (D).</p>
Full article ">Figure 17 Cont.
<p>Phase portraits of <span class="html-italic">x</span><sub>2</sub> using (<b>a</b>) RSS (A), (<b>b</b>) RSS (B), (<b>c</b>) RSS (C), and (<b>d</b>) RSS (D).</p>
Full article ">Figure 18
<p>The rate of change of amplitude of <span class="html-italic">x</span><sub>2</sub> using different RSSs caused by external conditions.</p>
Full article ">Figure 19
<p>Dynamic stiffness characteristics of the baseline and optimized RSSs for different amplitudes, with angular frequency <span class="html-italic">ω</span> of the investigated VFFS being 70 rad·s<sup>−1</sup>.</p>
Full article ">
14 pages, 2905 KiB  
Article
An Adjustment Strategy for Tilted Moiré Fringes via Deep Q-Network
by Chuan Jin, Dajie Yu, Haifeng Sun, Junbo Liu, Ji Zhou and Jian Wang
Photonics 2024, 11(7), 666; https://doi.org/10.3390/photonics11070666 - 17 Jul 2024
Cited by 1 | Viewed by 1098
Abstract
Overlay accuracy, one of the three fundamental indicators of lithography, is directly influenced by alignment precision. During the alignment process based on the Moiré fringe method, a slight angular misalignment between the mask and wafer will cause the Moiré fringes to tilt, thereby [...] Read more.
Overlay accuracy, one of the three fundamental indicators of lithography, is directly influenced by alignment precision. During the alignment process based on the Moiré fringe method, a slight angular misalignment between the mask and wafer will cause the Moiré fringes to tilt, thereby affecting the alignment accuracy. This paper proposes a leveling strategy based on the DQN (Deep Q-Network) algorithm. This strategy involves using four consecutive frames of wafer tilt images as the input values for a convolutional neural network (CNN), which serves as the environment model. The environment model is divided into two groups: the horizontal plane tilt environment model and the vertical plane tilt environment model. After convolution through the CNN and training with the pooling operation, the Q-value consisting of n discrete actions is output. In the DQN algorithm, the main contributions of this paper lie in three points: the adaptive application of environmental model input, parameter optimization of the loss function, and the possibility of application in the actual environment to provide some ideas. The environment model input interface can be applied to different tilt models and more complex scenes. The optimization of the loss function can match the leveling of different tilt models. Considering the application of this strategy in actual scenarios, motion calibration and detection between the mask and the wafer provide some ideas. To verify the reliability of the algorithm, simulations were conducted to generate tilted Moiré fringes resulting from tilt angles of the wafer plate, and the phase of the tilted Moiré fringes was subsequently calculated. The angle of the wafer was automatically adjusted using the DQN algorithm, and then various angles were measured. Repeated measurements were also conducted at the same angle. The angle deviation accuracy of the horizontal plane tilt environment model reached 0.0011 degrees, and the accuracy of repeated measurements reached 0.00025 degrees. The angle deviation accuracy of the vertical plane tilt environment model reached 0.0043 degrees, and repeated measurements achieved a precision of 0.00027 degrees. Moreover, in practical applications, it also provides corresponding ideas to ensure the determination of the relative position between the mask and wafer and the detection of movement, offering the potential for its application in the industry. Full article
(This article belongs to the Section Optoelectronics and Optical Materials)
Show Figures

Figure 1

Figure 1
<p>The distribution of the two sets of fringes varies depending on the tilt of the wafer in different scenarios: (<b>a</b>) when the wafer is leveled, (<b>b</b>) when the wafer is tilted in the horizontal direction, and (<b>c</b>) when the wafer is tilted in the vertical direction.</p>
Full article ">Figure 2
<p>System flow chart for leveling a tilted Moiré fringe via a DQN.</p>
Full article ">Figure 3
<p>CNN-Behavior network architecture.</p>
Full article ">Figure 4
<p>Operating principle of the experience replay pool.</p>
Full article ">Figure 5
<p>Loss function calculation principle in the DQN algorithm.</p>
Full article ">Figure 6
<p>Episode rewards for mask–wafer leveling with rlDQNAGENTS.</p>
Full article ">Figure 7
<p>Comparison between two models in rlDQNAGENTS: (<b>a</b>) learning curve comparison; (<b>b</b>) Episode Q0 comparison; (<b>c</b>) the horizontal plane tilt environment model (x–y); (<b>d</b>) the vertical plane tilt environment model (x–z).</p>
Full article ">Figure 8
<p>The normalized frequency and angular deviation of the Moiré fringe tilt relative to (<b>a</b>) the horizontal plane, (<b>b</b>) the vertical plane, (<b>c</b>) the angle calculation of the horizontal plane, and (<b>d</b>) the angle calculation of the vertical plane.</p>
Full article ">
29 pages, 408 KiB  
Article
Three-Body 3D-Kepler Electromagnetic Problem—Existence of Periodic Solutions
by Vasil Georgiev Angelov
AppliedMath 2024, 4(2), 612-640; https://doi.org/10.3390/appliedmath4020034 - 16 May 2024
Viewed by 1327
Abstract
The main purpose of the present paper is to prove the existence of periodic solutions of the three-body problem in the 3D Kepler formulation. We have solved the same problem in the case when the three particles are considered in an external inertial [...] Read more.
The main purpose of the present paper is to prove the existence of periodic solutions of the three-body problem in the 3D Kepler formulation. We have solved the same problem in the case when the three particles are considered in an external inertial system. We start with the three-body equations of motion, which are a subset of the equations of motion (previously derived by us) for any number of bodies. In the Minkowski space, there are 12 equations of motion. It is proved that three of them are consequences of the other nine, so their number becomes nine, as much as the unknown trajectories are. The Kepler formulation assumes that one particle (the nucleus) is placed at the coordinate origin. The motion of the other two particles is described by a neutral system with respect to the unknown velocities. The state-dependent delays arise as a consequence of the finite vacuum speed of light. We obtain the equations of motion in spherical coordinates and split them into two groups. In the first group all arguments of the unknown functions are delays. We take their solutions as initial functions. Then, the equations of motion for the remaining two particles must be solved to the right of the initial point. To prove the existence–uniqueness of a periodic solution, we choose a space consisting of periodic infinitely smooth functions satisfying some supplementary conditions. Then, we use a suitable operator which acts on these spaces and whose fixed points are periodic solutions. We apply the fixed point theorem for the operators acting on the spaces of periodic functions. In this manner, we show the stability of the He atom in the frame of classical electrodynamics. In a previous paper of ours, we proved the existence of spin functions for plane motion. Thus, we confirm the Bohr and Sommerfeld’s hypothesis for the He atom. Full article
10 pages, 2379 KiB  
Article
Associated Factor and Long-Term Clinical Outcomes for Patients with Postoperative Rotational Malreduction in Pediatric Supracondylar Humeral Fractures
by Kyu Bum Seo, Byung Suk Kim, Yong-Geun Park and Chaemoon Lim
Medicina 2024, 60(5), 791; https://doi.org/10.3390/medicina60050791 - 9 May 2024
Viewed by 1154
Abstract
Background and Objectives: Long-term outcomes of immediately postoperative rotational malreduction in the axial plane after operative treatment of supracondylar humeral fractures (SCHF) are unknown. This study aimed to investigate the long-term clinical outcomes and associated factors for immediately postoperative rotational malreduction of [...] Read more.
Background and Objectives: Long-term outcomes of immediately postoperative rotational malreduction in the axial plane after operative treatment of supracondylar humeral fractures (SCHF) are unknown. This study aimed to investigate the long-term clinical outcomes and associated factors for immediately postoperative rotational malreduction of SCHF. Materials and methods: In this retrospective case–control study, 88 patients who underwent surgery for Gratland type III SCHF were enrolled between January 2012 and January 2020. Among them, 49 patients had immediately postoperative malrotational reduction (rotational malreduction group) and 39 patients had no rotational deformity (control group). To evaluate the associated factors for immediately postoperative rotational malreduction, demographic data, fracture patterns, physical examination signs, and preoperative radiological parameters were analyzed. To compare the clinical outcomes, operation time, range of motion of the elbow, time from operation to full range of motion, and Flynn criteria were evaluated. The Oxford elbow score was used to investigate long-term clinical outcomes for patients five years after operation. Results: The mean age was 5.7 ± 2.3 years and mean follow-up period was 15.7 ± 4.0 months. The rotational malreduction group had significantly more patients with oblique fracture pattern (p = 0.031) and Pucker sign (p = 0.016) and showed a significantly longer operative time (p = 0.029) than the control group. Although there was no significant difference in the range of elbow motion and the Flynn criteria, the Kaplan–Meier survival curve showed a longer time to recover the full range of elbow motion in the rotational malreduction group (p = 0.040). There were no significant differences in the long-term clinical outcomes assessed using the Oxford elbow score (p = 0.684). Conclusions: Oblique fracture pattern and Pucker sign may be associated with immediately postoperative rotational malreduction in the axial plane. Although patients with immediately postoperative rotational malreduction showed favorable results of long-term clinical outcomes, they required more weeks to recover the full range of elbow motion. Full article
Show Figures

Figure 1

Figure 1
<p>Angles for the evaluation of radiologic outcomes. (<b>A</b>) The Baumann angle was measured using the line parallel to the lateral condylar physis and the line perpendicular to the axis of the humeral shaft on AP radiographs. (<b>B</b>) The ulnohumeral angle was assessed using the ulnar and humeral length axes on AP radiographs. (<b>C</b>) The humerocapitellar angle was measured using the humeral length axis and the line parallel to the capitellum on lateral radiographs.</p>
Full article ">Figure 2
<p>Measurements and equation of rotational angle. The dimensions of the distal fracture line (D<sub>AP</sub>) and the proximal fracture line (D<sub>R</sub>) were measured on AP radiographs. The distal fracture line (D<sub>L</sub>) was also measured on lateral radiographs. The rotational angle was calculated using the following formula: rotation angle = arc cos [(D<sub>R</sub> − D<sub>L</sub>)/(D<sub>AP</sub> − D<sub>L</sub>)].</p>
Full article ">Figure 3
<p>Flowchart of patient inclusion.</p>
Full article ">Figure 4
<p>A case of an eight-year-old boy in the rotational malreduction group. (<b>A</b>) The preoperative radiographs showed modified Gartland type IIIa supracondylar humeral fractures. (<b>B</b>) The immediately postoperative radiographs showed immediately postoperative rotational malreduction. (<b>C</b>) The six-week postoperative radiographs showed the formation of calluses. (<b>D</b>) The final follow-up radiographs showed remodeling of the rotational malreduction. The patient recovered full range of motion of elbow. The Flynn criteria was excellent, and the Oxford elbow score was 100.</p>
Full article ">Figure 5
<p>Kaplan–Meier survival curve showing number of months required to recover the full range of motion of the elbow between the rotational reduction group and control group.</p>
Full article ">
25 pages, 2100 KiB  
Article
Special Relativity in Terms of Hyperbolic Functions with Coupled Parameters in 3+1 Dimensions
by Nikolai S. Akintsov, Artem P. Nevecheria, Gennadii F. Kopytov, Yongjie Yang and Tun Cao
Symmetry 2024, 16(3), 357; https://doi.org/10.3390/sym16030357 - 15 Mar 2024
Cited by 1 | Viewed by 1595
Abstract
This paper presents a method for parameterizing new Lorentz spacetime coordinates based on coupled parameters. The role of symmetry in rapidity in special relativity is explored, and invariance is obtained for new spacetime intervals with respect to the Lorentz transformation. Using the Euler–Hamilton [...] Read more.
This paper presents a method for parameterizing new Lorentz spacetime coordinates based on coupled parameters. The role of symmetry in rapidity in special relativity is explored, and invariance is obtained for new spacetime intervals with respect to the Lorentz transformation. Using the Euler–Hamilton equations, an additional angular rapidity and perpendicular rapidity are obtained, and the Hamiltonian and Lagrangian of a relativistic particle are expanded into rapidity spectra. A so-called passage to the limit is introduced that makes it possible to decompose physical quantities into spectra in terms of elementary functions when explicit decomposition is difficult. New rapidity-dependent Lorentz spacetime coordinates are obtained. The descriptions of particle motion using the old and new Lorentz spacetime coordinates as applied to plane laser pulses are compared in terms of the particle kinetic energy. Based on a classical model of particle motion in the field of a plane monochromatic electromagnetic wave and that of a plane laser pulse, rapidity-dependent spectral decompositions into elementary functions are presented, and the Euler–Hamilton equations are derived as rapidity functions in 3+1 dimensions. The new and old Lorentz spacetime coordinates are compared with the Fermi spacetime coordinates. The proper Lorentz groups SO(1,3) with coupled parameters using the old and new Lorentz spacetime coordinates are also compared. As a special case, the application of Lorentz spacetime coordinates to a relativistic hydrodynamic system with coupled parameters in 1+1 dimensions is demonstrated. Full article
(This article belongs to the Special Issue Lorentz Symmetry and General Relativity)
Show Figures

Figure 1

Figure 1
<p>The dependence of the local time coordinate <math display="inline"><semantics> <msup> <mi>t</mi> <mo>′</mo> </msup> </semantics></math> from Equation (10) (blue color) and the spacetime interval <math display="inline"><semantics> <mi>s</mi> </semantics></math> from Equation (15) (red color) on the rapidity <math display="inline"><semantics> <mi>θ</mi> </semantics></math>.</p>
Full article ">Figure 2
<p>Graphs of the dependence of <math display="inline"><semantics> <mrow> <mi>h</mi> <mo>=</mo> <msup> <mi>t</mi> <mo>′</mo> </msup> <mi>d</mi> <mi>θ</mi> <mo>/</mo> <mi>d</mi> <mi>s</mi> </mrow> </semantics></math> (Equation (27)) (blue color) and <math display="inline"><semantics> <mrow> <mi>g</mi> <mo>=</mo> <msup> <mi>q</mi> <mo>′</mo> </msup> <mi>d</mi> <mi>θ</mi> <mo>/</mo> <mi>d</mi> <mi>s</mi> </mrow> </semantics></math> (Equation (20)) (red color) on the rapidity <math display="inline"><semantics> <mi>θ</mi> </semantics></math>.</p>
Full article ">Figure 3
<p>The velocities <math display="inline"><semantics> <mrow> <mi>q</mi> <mo>/</mo> <mi>t</mi> </mrow> </semantics></math> (labeled 1) and <math display="inline"><semantics> <mrow> <mstyle mathvariant="bold" mathsize="normal"> <mi>n</mi> <mi>β</mi> </mstyle> </mrow> </semantics></math> (labeled 2) depend on the dimensionless field amplitude <math display="inline"><semantics> <mrow> <mi>a</mi> <mo>∼</mo> <mi>I</mi> <msup> <mi>λ</mi> <mn>2</mn> </msup> </mrow> </semantics></math>.</p>
Full article ">Figure 4
<p>The dependence of particle oscillations in the field of a plane wave for Lorentz spacetime coordinates, provided that the amplitude of the wave field is normalized to unity: (<b>a</b>) particle dynamics using <math display="inline"><semantics> <mrow> <msubsup> <mi>ξ</mi> <mi>E</mi> <mo>−</mo> </msubsup> </mrow> </semantics></math> for a plane monochromatic wave with <math display="inline"><semantics> <mrow> <mi>ω</mi> <mo>=</mo> <mi>c</mi> <mi>o</mi> <mi>n</mi> <mi>s</mi> <mi>t</mi> </mrow> </semantics></math>; (<b>b</b>) particle dynamics in a frequency-modulated wave for the oscillation phase <math display="inline"><semantics> <mrow> <mi>ω</mi> <mfenced> <mrow> <msubsup> <mi>ξ</mi> <mi>E</mi> <mo>−</mo> </msubsup> </mrow> </mfenced> <msubsup> <mi>ξ</mi> <mi>E</mi> <mo>−</mo> </msubsup> </mrow> </semantics></math>; (<b>c-1</b>,<b>c-2</b>) particle dynamics using <math display="inline"><semantics> <mi>ξ</mi> </semantics></math> for a wave with both constant frequency (<math display="inline"><semantics> <mrow> <mi>ω</mi> <mo>=</mo> <mi>c</mi> <mi>o</mi> <mi>n</mi> <mi>s</mi> <mi>t</mi> </mrow> </semantics></math>) and spatial modulation for the oscillation phase <math display="inline"><semantics> <mrow> <mi>ω</mi> <mfenced> <mi>ξ</mi> </mfenced> <mi>ξ</mi> </mrow> </semantics></math>.</p>
Full article ">Figure 5
<p>The kinetic energy of a relativistic particle (96) depending on the intensity of a plane laser pulse: (<b>a</b>,<b>c</b>) for “old” Lorentz spacetime coordinates 1—<math display="inline"><semantics> <mi>ξ</mi> </semantics></math>, 2—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mi>θ</mi> </msub> </mrow> </semantics></math>, 3—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mo>⊥</mo> </msub> </mrow> </semantics></math>, and 4—Equation (97); (<b>b</b>,<b>d</b>) for “new” Lorentz spacetime coordinates: 1—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mi>E</mi> </msub> </mrow> </semantics></math>, 2—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mrow> <mi>E</mi> <mi>θ</mi> </mrow> </msub> </mrow> </semantics></math>, 3—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mrow> <mi>E</mi> <mo>⊥</mo> </mrow> </msub> </mrow> </semantics></math>, and 4—Equation (97).</p>
Full article ">Figure 6
<p>A graph of the dependence of the “new” ((<b>b</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mi>E</mi> </msub> </mrow> </semantics></math>, (<b>d</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mrow> <mi>E</mi> <mi>θ</mi> </mrow> </msub> </mrow> </semantics></math>, (<b>f</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mrow> <mi>E</mi> <mo>⊥</mo> </mrow> </msub> </mrow> </semantics></math>) and “old” ((<b>a</b>)—<math display="inline"><semantics> <mi>ξ</mi> </semantics></math>, (<b>c</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mi>θ</mi> </msub> </mrow> </semantics></math>, (<b>e</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mo>⊥</mo> </msub> </mrow> </semantics></math>) Lorentz spacetime coordinates and Fermi coordinates ((<b>g</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mrow> <mi>F</mi> <mi>R</mi> </mrow> </msub> </mrow> </semantics></math>) on the rapidity <math display="inline"><semantics> <mi>θ</mi> </semantics></math>, where the blue color indicates the plus sign “+”, for example, <math display="inline"><semantics> <mrow> <msup> <mi>ξ</mi> <mo>+</mo> </msup> </mrow> </semantics></math>, and the red color indicates the minus sign “–”, for example,<math display="inline"><semantics> <mrow> <msup> <mi>ξ</mi> <mo>−</mo> </msup> </mrow> </semantics></math>.</p>
Full article ">Figure 6 Cont.
<p>A graph of the dependence of the “new” ((<b>b</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mi>E</mi> </msub> </mrow> </semantics></math>, (<b>d</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mrow> <mi>E</mi> <mi>θ</mi> </mrow> </msub> </mrow> </semantics></math>, (<b>f</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mrow> <mi>E</mi> <mo>⊥</mo> </mrow> </msub> </mrow> </semantics></math>) and “old” ((<b>a</b>)—<math display="inline"><semantics> <mi>ξ</mi> </semantics></math>, (<b>c</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mi>θ</mi> </msub> </mrow> </semantics></math>, (<b>e</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mo>⊥</mo> </msub> </mrow> </semantics></math>) Lorentz spacetime coordinates and Fermi coordinates ((<b>g</b>)—<math display="inline"><semantics> <mrow> <msub> <mi>ξ</mi> <mrow> <mi>F</mi> <mi>R</mi> </mrow> </msub> </mrow> </semantics></math>) on the rapidity <math display="inline"><semantics> <mi>θ</mi> </semantics></math>, where the blue color indicates the plus sign “+”, for example, <math display="inline"><semantics> <mrow> <msup> <mi>ξ</mi> <mo>+</mo> </msup> </mrow> </semantics></math>, and the red color indicates the minus sign “–”, for example,<math display="inline"><semantics> <mrow> <msup> <mi>ξ</mi> <mo>−</mo> </msup> </mrow> </semantics></math>.</p>
Full article ">Figure 7
<p>Dependency graphs: (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mi>Q</mi> <mi>L</mi> </msub> </mrow> </semantics></math> from Equation (102) (blue color) and <math display="inline"><semantics> <mrow> <msub> <mi>Q</mi> <mi>E</mi> </msub> </mrow> </semantics></math> from Equation (103) (red color) depending on the rapidity <math display="inline"><semantics> <mi>θ</mi> </semantics></math>; (<b>b</b>) <math display="inline"><semantics> <mrow> <msup> <mi>s</mi> <mn>2</mn> </msup> <mo>=</mo> <msup> <mi>ξ</mi> <mo>+</mo> </msup> <msup> <mi>ξ</mi> <mo>−</mo> </msup> </mrow> </semantics></math> in 1+1 dimensions (12) (blue color) and <math display="inline"><semantics> <mrow> <msub> <mi>Q</mi> <mi>E</mi> </msub> </mrow> </semantics></math> (red color) depending on the rapidity <math display="inline"><semantics> <mi>θ</mi> </semantics></math>.</p>
Full article ">Figure 8
<p>Graphs of the thermal radiation terms depending on the rapidity <math display="inline"><semantics> <mi>θ</mi> </semantics></math>: <math display="inline"><semantics> <mrow> <mi>σ</mi> <mo>=</mo> <mi>σ</mi> <mfenced> <mi>θ</mi> </mfenced> </mrow> </semantics></math> (blue color) and <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mi>p</mi> <mfenced> <mi>θ</mi> </mfenced> </mrow> </semantics></math> (red color).</p>
Full article ">
14 pages, 1899 KiB  
Article
Does Overhead Squat Performance Affect the Swing Kinematics and Lumbar Spine Loads during the Golf Downswing?
by Zi-Han Chen, Marcus Pandy, Tsung-Yu Huang and Wen-Tzu Tang
Sensors 2024, 24(4), 1252; https://doi.org/10.3390/s24041252 - 15 Feb 2024
Viewed by 2119
Abstract
The performance of the overhead squat may affect the golf swing mechanics associated with golf-related low back pain. This study investigates the difference in lumbar kinematics and joint loads during the golf downswing between golfers with different overhead squat abilities. Based on the [...] Read more.
The performance of the overhead squat may affect the golf swing mechanics associated with golf-related low back pain. This study investigates the difference in lumbar kinematics and joint loads during the golf downswing between golfers with different overhead squat abilities. Based on the performance of the overhead squat test, 21 golfers aged 18 to 30 years were divided into the highest-scoring group (HS, N = 10, 1.61 ± 0.05 cm, and 68.06 ± 13.67 kg) and lowest-scoring group (LS, N = 11, 1.68 ± 0.10 cm, and 75.00 ± 14.37 kg). For data collection, a motion analysis system, two force plates, and TrackMan were used. OpenSim 4.3 software was used to simulate the joint loads for each lumbar joint. An independent t-test was used for statistical analysis. Compared to golfers demonstrating limitations in the overhead squat test, golfers with better performance in the overhead squat test demonstrated significantly greater angular extension displacement on the sagittal plane, smaller lumbar extension angular velocity, and smaller L4-S1 joint shear force. Consequently, the overhead squat test is a useful index to reflect lumbar kinematics and joint loading patterns during the downswing and provides a good training guide reference for reducing the risk of a golf-related lower back injury. Full article
(This article belongs to the Special Issue Human Movement Monitoring Using Wearable Sensor Technology)
Show Figures

Figure 1

Figure 1
<p>The squat movement examples of high-scoring group (<b>a</b>) and low-scoring group (<b>b</b>).</p>
Full article ">Figure 2
<p>The full-body lumbar spine (FBLS) model (<b>a</b>) and the OpenSim simulation of golf swing (<b>b</b>).</p>
Full article ">Figure 3
<p>The model validation on activation level by measured normalized EMG RMS on both sides of the lumbar area.</p>
Full article ">
17 pages, 1331 KiB  
Article
Reliability of Xsens IMU-Based Lower Extremity Joint Angles during In-Field Running
by Daniel Debertin, Anna Wargel and Maurice Mohr
Sensors 2024, 24(3), 871; https://doi.org/10.3390/s24030871 - 29 Jan 2024
Cited by 11 | Viewed by 3772
Abstract
The Xsens Link motion capture suit has become a popular tool in investigating 3D running kinematics based on wearable inertial measurement units outside of the laboratory. In this study, we investigated the reliability of Xsens-based lower extremity joint angles during unconstrained running on [...] Read more.
The Xsens Link motion capture suit has become a popular tool in investigating 3D running kinematics based on wearable inertial measurement units outside of the laboratory. In this study, we investigated the reliability of Xsens-based lower extremity joint angles during unconstrained running on stable (asphalt) and unstable (woodchip) surfaces within and between five different testing days in a group of 17 recreational runners (8 female, 9 male). Specifically, we determined the within-day and between-day intraclass correlation coefficients (ICCs) and minimal detectable changes (MDCs) with respect to discrete ankle, knee, and hip joint angles. When comparing runs within the same day, the investigated Xsens-based joint angles generally showed good to excellent reliability (median ICCs > 0.9). Between-day reliability was generally lower than the within-day estimates: Initial hip, knee, and ankle angles in the sagittal plane showed good reliability (median ICCs > 0.88), while ankle and hip angles in the frontal plane showed only poor to moderate reliability (median ICCs 0.38–0.83). The results were largely unaffected by the surface. In conclusion, within-day adaptations in lower-extremity running kinematics can be captured with the Xsens Link system. Our data on between-day reliability suggest caution when trying to capture longitudinal adaptations, specifically for ankle and hip joint angles in the frontal plane. Full article
Show Figures

Figure 1

Figure 1
<p>Schematic of experimental protocol and reliability analyses. Note that the calculations of calibration, within-day, and between-day error are only shown for testing day 1 and testing day 2, although the same comparisons were carried out between all five testing days. Runs 2 and 4 (marked in grey) were not included in the analysis. Cal = calibration.</p>
Full article ">Figure 2
<p>Mean absolute differences (±SD) in Xsens-based lower extremity joint angles between runs on different days (BD), different runs within the same day but processed with the same calibration file (WD) and the same run within the same day but processed with different calibration files (Cal). Blue and red bars show results for runs on asphalt and the woodchip track, respectively. IHF = initial hip flexion, IHA = initial hip ab-/adduction, PHA = peak hip adduction, IKF = initial knee flexion, PKF = peak knee flexion, IAD = initial ankle dorsiflexion, PAD = peak ankle dorsiflexion, IAI = initial ankle inversion, PAE = peak ankle eversion.</p>
Full article ">Figure 3
<p>Within-day and between-day reliability of Xsens-based lower extremity joint angles during running. Circles (blue = asphalt, red = woodchip) indicate the grand mean joint angles across runners and testing sessions. Error bars represent the mean angle plus-minus one median minimal detectable change (based on five reliability estimates). IHF = initial hip flexion, IHA = initial hip ab-/adduction, PHA = peak hip adduction, IKF = initial knee flexion, PKF = peak knee flexion, IAD = initial ankle dorsiflexion, PAD = peak ankle dorsiflexion, IAI = initial ankle inversion, PAE = peak ankle eversion.</p>
Full article ">
26 pages, 382 KiB  
Article
The Relativistic Rotation Transformation and the Observer Manifold
by Satyanad Kichenassamy
Axioms 2023, 12(12), 1066; https://doi.org/10.3390/axioms12121066 - 21 Nov 2023
Cited by 1 | Viewed by 1072
Abstract
We show that relativistic rotation transformations represent transfer maps between the laboratory system and a local observer on an observer manifold, rather than an event manifold, in the spirit of C-equivalence. Rotation is, therefore, not a parameterised motion on a background space or [...] Read more.
We show that relativistic rotation transformations represent transfer maps between the laboratory system and a local observer on an observer manifold, rather than an event manifold, in the spirit of C-equivalence. Rotation is, therefore, not a parameterised motion on a background space or spacetime, but is determined by a particular sequence of tetrads related by specific special Lorentz transformations or boosts. Because such Lorentz boosts do not form a group, these tetrads represent distinct observers that cannot put together their local descriptions into a manifold in the usual sense. The choice of observer manifold depends on the dynamical situation under consideration, and is not solely determined by the kinematics. Three examples are given: Franklin’s rotation transformation for uniform plane rotation, the Thomas precession of a vector attached to an electron, and the motion of a charged particle in an electromagnetic field. In each case, at each point of its trajectory, there is a distinguished tetrad and a special Lorentz transformation that maps Minkowski space to the spacetime of the local observer on the curve. Full article
(This article belongs to the Section Hilbert’s Sixth Problem)
12 pages, 1619 KiB  
Article
Helical Plating Compared with Straight Plating and Nailing for Treatment of Proximal Third Humeral Shaft Fractures—A Biomechanical Study
by Torsten Pastor, Ivan Zderic, Tatjana Pastor, Ludmil Drenchev, Hristo Kostov Skulev, Kenneth P. van Knegsel, Mark Lenz, Björn-Christian Link, Boyko Gueorguiev and Frank J. P. Beeres
Medicina 2023, 59(11), 2043; https://doi.org/10.3390/medicina59112043 - 20 Nov 2023
Cited by 3 | Viewed by 1728
Abstract
Background and Objectives: The surgical treatment of proximal humeral shaft fractures usually considers application of either long straight plates or intramedullary nails. By being able to spare the rotator cuff and avoid the radial nerve distally, the implementation of helical plates might [...] Read more.
Background and Objectives: The surgical treatment of proximal humeral shaft fractures usually considers application of either long straight plates or intramedullary nails. By being able to spare the rotator cuff and avoid the radial nerve distally, the implementation of helical plates might overcome the downsides of common fixation methods. The aims of the current study were (1) to explore the biomechanical competence of different plate designs and (2) to compare their performance versus the alternative treatment option of using intramedullary nails. Materials and Methods: Twenty-four artificial humeri were assigned to the following four groups for simulation of an unstable proximal humeral shaft fracture and instrumentation: Group 1 (Straight-PHILOS), Group 2 (MULTILOC-Nail), Group 3 (45°-Helical-PHILOS), and Group 4 (90°-Helical-PHILOS). All specimens underwent non-destructive, quasi-static biomechanical testing under loading in axial compression, torsion in internal/external rotation, and pure bending in four directions, accompanied by motion tracking. Results: Axial stiffness/displacement in Group 2 was significantly higher/smaller than in all other groups (p ≤ 0.010). Torsional displacement in Group 2 was significantly bigger than in all other groups (p ≤ 0.017). Significantly smaller coronal plane displacement was identified in Group 2 versus all other groups (p < 0.001) and in Group 4 versus Group 1 (p = 0.022). Significantly bigger sagittal plane displacement was detected in Group 4 versus all other groups (p ≤ 0.024) and in Group 1 versus Group 2 (p < 0.001). Conclusions: Intramedullary nails demonstrated higher axial stiffness and smaller axial interfragmentary movements compared with all investigated plate designs. However, they were associated with bigger torsional movements at the fracture site. Although 90°-helical plates revealed bigger interfragmentary movements in the sagittal plane, they demonstrated improved resistance against displacements in the coronal plane when compared with straight lateral plates. In addition, 45°-helical plates manifested similar biomechanical competence to straight plates and may be considered a valid alternative to the latter from a biomechanical standpoint. Full article
(This article belongs to the Section Orthopedics)
Show Figures

Figure 1

Figure 1
<p>Specimens with a gap osteotomy simulating a right humerus fracture of the proximal third, visualized from left to right for Group 1 (Straight), Group 2 (Nail), Group 3 (45°-Helical) and Group 4 (90°-Helical) in anterior-posterior (<b>top</b>) and lateral (<b>bottom</b>) views.</p>
Full article ">Figure 2
<p>Setups with a 90°-helical plated specimen from Group 4 (90°-Helical) mounted for biomechanical testing. Arrows denote loading directions. (<b>A</b>): Setup with the specimen mounted for testing in axial compression and torsion in internal/external rotation, equipped with markers for motion tracking (Tests 1–3). (<b>B</b>,<b>C</b>): Setup with the specimen mounted for pure bending tests in the coronal plane (varus/valgus) (Tests 4, 5). (<b>D</b>): Setup with the specimen mounted for pure bending tests in the sagittal plane (flexion/extension) (Tests 6, 7).</p>
Full article ">Figure 3
<p>Outcome measures in Group 1 (Straight), Group 2 (Nail), Group 3 (45°-Helical) and Group 4 (90°-Helical) presented in terms of mean value and standard deviation for axial displacement (<b>A</b>), sagittal plane displacement (<b>B</b>), and coronal plane displacement (<b>C</b>) under axial loading. Stars indicate significant differences.</p>
Full article ">Figure 4
<p>Outcome measures in Group 1 (Straight), Group 2 (Nail), Group 3 (45°-Helical) and Group 4 (90°-Helical) presented in terms of mean value and standard deviation for shear displacement (<b>A</b>) and torsional displacement (<b>B</b>) under internal and external torsional loading. Stars indicate significant differences.</p>
Full article ">
Back to TopTop