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Keywords = 3-axial acceleration sensors

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25 pages, 12596 KiB  
Article
Multi-Sensory Tool Holder for Process Force Monitoring and Chatter Detection in Milling
by Alexander Schuster, Andreas Otto, Hendrik Rentzsch and Steffen Ihlenfeldt
Sensors 2024, 24(17), 5542; https://doi.org/10.3390/s24175542 - 27 Aug 2024
Viewed by 255
Abstract
Sensor-based monitoring of process and tool condition in milling is a key technology for improving productivity and workpiece quality, as well as enabling automation of machine tools. However, industrial implementation of such monitoring systems remains a difficult task, since they require high sensitivity [...] Read more.
Sensor-based monitoring of process and tool condition in milling is a key technology for improving productivity and workpiece quality, as well as enabling automation of machine tools. However, industrial implementation of such monitoring systems remains a difficult task, since they require high sensitivity and minimal impact on CNC machines and cutting conditions. This paper presents a novel multi-sensory tool holder for measurement of process forces and vibrations in direct proximity to the cutting tool. In particular, the sensor system has an integrated temperature sensor, a triaxial accelerometer and strain gauges for measurement of axial force and bending moment. It is equipped with a self-sufficient electric generator and wireless data transmission, allowing for a tool holder design without interfering contours. Milling and drilling experiments with varying cutting parameters are conducted. The measurement data are analyzed, pre-processed and verified with reference signals. Furthermore, the suitability of all integrated sensors for detection of dynamic instabilities (chatter) is investigated, showing that bending moment and tangential acceleration signals are the most sensitive regarding this monitoring task. Full article
(This article belongs to the Special Issue Emerging Sensing Technologies for Machine Health State Awareness)
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<p>Application of strain gauges (SGs) to a tool holder for measurement of (<b>a</b>) force F in radial direction (bending moment) and (<b>b</b>) force F in axial direction; (<b>c</b>) connection of strain gauges to Wheatstone full-bridge circuits.</p>
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<p>Integration of a piezoelectric accelerometer on the PCB of a smart tool holder in side view and cross-sectional view A-A, and the orientation of its sensing directions.</p>
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<p>(<b>a</b>) Components of the electric generator for power supply of a sensory tool holder; (<b>b</b>) cross section of the stator and rotor sides of generator components.</p>
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<p>Scheme of the monitoring system based on the sensor-integrated tool holder; the arrows illustrate the data flow from the sensors to the software front-end.</p>
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<p>Experimental setup of tests for verification of force measurement.</p>
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<p>Experimental setup of milling tests for process monitoring with close-up view of the machined surface after a test with chatter.</p>
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<p>Comparison of raw bending moment signals measured by the sensory tool holder and bending moment extracted from raw dynamometer signals for one exemplary milling test with tooth feed of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> <mo>=</mo> <mn>0.25</mn> <mtext> </mtext> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> </mrow> </semantics></math> (top: whole process; bottom: one exemplary tool revolution).</p>
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<p>Comparison of amplitude of bending moment signal measured by the sensor-integrated tool holder and maximum bending moment measured by the stationary dynamometer during milling tests with varying feed per tooth (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> </mrow> </semantics></math>).</p>
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<p>Comparison of raw axial force signals measured by sensory tool holder and stationary dynamometer during drilling tests with varying feed per tooth <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Comparison of mean axial force measured by the sensor-integrated tool holder and the stationary dynamometer during drilling tests with varying feed per tooth (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> </mrow> </semantics></math>).</p>
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<p>Raw sensor signals measured during tests 1 and 2.</p>
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<p>Raw sensor signals for one exemplary tool revolution during tests 1, 2, 5 and 6.</p>
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<p>Features extracted from raw sensor signals measured during tests 3 and 4.</p>
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<p>Comparison of chatter-sensitive features extracted from raw sensor signals measured during tests 1 to 8.</p>
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12 pages, 3383 KiB  
Article
Effects of Different Wearable Resistance Placements on Running Stability
by Arunee Promsri, Siriyakorn Deedphimai, Petradda Promthep and Chonthicha Champamuang
Sports 2024, 12(2), 45; https://doi.org/10.3390/sports12020045 - 1 Feb 2024
Cited by 1 | Viewed by 1524
Abstract
Stability during running has been recognized as a crucial factor contributing to running performance. This study aimed to investigate the effects of wearable equipment containing external loads on different body parts on running stability. Fifteen recreational male runners (20.27 ± 1.23 years, age [...] Read more.
Stability during running has been recognized as a crucial factor contributing to running performance. This study aimed to investigate the effects of wearable equipment containing external loads on different body parts on running stability. Fifteen recreational male runners (20.27 ± 1.23 years, age range 19–22 years) participated in five treadmill running conditions, including running without loads and running with loads equivalent to 10% of individual body weight placed on four different body positions: forearms, lower legs, trunk, and a combination of all three (forearms, lower legs, and trunk). A tri-axial accelerometer-based smartphone sensor was attached to the participants’ lumbar spine (L5) to record body accelerations. The largest Lyapunov exponent (LyE) was applied to individual acceleration data as a measure of local dynamic stability, where higher LyE values suggest lower stability. The effects of load distribution appear in the mediolateral (ML) direction. Specifically, running with loads on the lower legs resulted in a lower LyE_ML value compared to running without loads (p = 0.001) and running with loads on the forearms (p < 0.001), trunk (p = 0.001), and combined segments (p = 0.005). These findings suggest that running with loads on the lower legs enhances side-to-side local dynamic stability, providing valuable insights for training. Full article
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<p>Wearable resistance equipment ((<b>A</b>): a weighted vest, (<b>B</b>): forearm cuffs, (<b>C</b>): lower leg cuffs, and (<b>D</b>): detachable metal plates).</p>
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<p>Example tri-axial acceleration data of the treadmill running with (<b>A</b>) no load, (<b>B</b>) and running with loads on combined (forearms, legs, and trunk) segments, (<b>C</b>) forearms, (<b>D</b>) lower legs, and (<b>E</b>) trunk, respectively. Note: the presented middle 2 min tri-axial acceleration data were retrieved from each running condition of the first participant.</p>
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<p>Example of the space–time representation for the calculated largest Lyapunov exponent (LyE) of a tri-axial acceleration data of running with no load. Note: the presented data were derived from the first participant.</p>
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<p>The post hoc comparisons of (<b>A</b>) the largest Lyapunov exponent (LyE) and (<b>B</b>) the root-mean-square (RMS) between five running conditions: running with no load (None) and running with loads on combined segments (All), forearms (Arm), lower legs (Leg), and trunk (Trunk) (* <span class="html-italic">p</span> &lt; 0.005).</p>
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16 pages, 7684 KiB  
Article
Slip Risk Prediction Using Intelligent Insoles and a Slip Simulator
by Shuo Xu, Md Javed Imtiaze Khan, Meysam Khaleghian and Anahita Emami
Electronics 2023, 12(21), 4393; https://doi.org/10.3390/electronics12214393 - 24 Oct 2023
Viewed by 970
Abstract
Slip and fall accidents are the leading cause of injuries for all ages, and for fatal injuries in adults over 65 years. Various factors, such as floor surface conditions and contaminants, shoe tread patterns, and gait behavior, affect the slip risk. Moreover, the [...] Read more.
Slip and fall accidents are the leading cause of injuries for all ages, and for fatal injuries in adults over 65 years. Various factors, such as floor surface conditions and contaminants, shoe tread patterns, and gait behavior, affect the slip risk. Moreover, the friction between the shoe outsoles and the floor continuously changes as their surfaces undergo normal wear over time. However, continuous assessment of slip resistance is very challenging with conventional measurement techniques. This study addresses this challenge by introducing a novel approach that combines sensor fusion technology and machine learning techniques to create intelligent insoles designed for fall risk prediction. In addition, a state-of-the-art slip simulator, capable of mimicking the foot’s motion during a slip, was developed and utilized for the assessment of slipperiness between various shoes and floor surfaces. Data acquisition involved the collection of pressure data and three-axial accelerations using instrumented shoe insoles, complemented by friction coefficient measurements via the slip simulator. The collected dataset includes four types of shoes, three floor surfaces, and four surface conditions, including dry, wet, soapy, and oily. After preprocessing of the collected dataset, the simulator was used to train five different machine learning algorithms for slip risk classification. The trained algorithms provided promising results for slip risk prediction for different conditions, offering the potential to be employed in real-time slip risk prediction and safety enhancement. Full article
(This article belongs to the Collection Predictive and Learning Control in Engineering Applications)
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<p>Laboratory-type machine-based slip simulator measuring COF.</p>
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<p>CAD Model of the ankle mechanism (<b>a</b>) Ankle mechanism attached to the 3D-printed shoemaker’s last, (<b>b</b>) direction of screw hole for making plantar flexion and dorsiflexion angle, and (<b>c</b>) component required for making abduction and adduction angle.</p>
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<p>3D-printed instrumented insole with FSRs locations of US 9.5 men’s foot size.</p>
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<p>Surface conditions and footwear samples of Type A, B, C, D used in experiments.</p>
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<p>COF of the walking shoe on the mosaic floor.</p>
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<p>COFs for different floor and contamination conditions measured by the slip simulator.</p>
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<p>Foot pressure map of the Type A shoes while walking on the mosaic surface.</p>
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<p>Acceleration map of type A shoes during the walk on the mosaic surface.</p>
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<p>Power spectrum density during the walk on mosaic surface with Type A shoes.</p>
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<p>Power spectrum density of <math display="inline"> <semantics> <mrow> <msub> <mrow> <mi>a</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> </mrow> </semantics> </math> during the walks (<b>a</b>) on multiple surfaces with Type A shoes in dry and oil conditions, and (<b>b</b>) on mosaic surface with all types of shoes in dry and oil conditions.</p>
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<p>Power spectrum density of <math display="inline"> <semantics> <mrow> <msub> <mrow> <mi>a</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> </mrow> </semantics> </math> during the walks (<b>a</b>) on multiple surfaces with Type A shoes in dry and oil conditions, and (<b>b</b>) on mosaic surface with all types of shoes in dry and oil conditions.</p>
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<p>(<b>a</b>) Acceleration correlation of the gait features to the COF, and (<b>b</b>) force correlation of the gait features to the COF.</p>
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<p>(<b>a</b>) Acceleration correlation of the gait features to the COF, and (<b>b</b>) force correlation of the gait features to the COF.</p>
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<p>Performance of classifiers in a graphical way: (<b>a</b>) DT, (<b>b</b>) KNN, (<b>c</b>) RF, (<b>d</b>) SVM, and (<b>e</b>) LR.</p>
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<p>Performance of classifiers in a graphical way: (<b>a</b>) DT, (<b>b</b>) KNN, (<b>c</b>) RF, (<b>d</b>) SVM, and (<b>e</b>) LR.</p>
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10 pages, 2889 KiB  
Communication
Numerical Modelling of the Optical–Acoustical Characterization of an Anti-Resonant Bragg Hollow Core Fiber
by Ying Shi, Yilin Zhou, Wenjun Ni, Yongsheng Tian, Zhenggang Lian and Perry Ping Shum
Photonics 2023, 10(7), 814; https://doi.org/10.3390/photonics10070814 - 13 Jul 2023
Cited by 1 | Viewed by 1083
Abstract
Anti-resonant hollow core fibers (AR-HCFs) provide a promising solution for photothermal spectroscopy and photoacoustic imaging applications. Here, the AR-HCF serves as a micro platform to induce the photothermal/photoacoustic effect. Since the Bragg structure can induce multiple AR effects compared with the general AR-HCF, [...] Read more.
Anti-resonant hollow core fibers (AR-HCFs) provide a promising solution for photothermal spectroscopy and photoacoustic imaging applications. Here, the AR-HCF serves as a micro platform to induce the photothermal/photoacoustic effect. Since the Bragg structure can induce multiple AR effects compared with the general AR-HCF, we proposed a novel device, the AR-BHCF (AR-HCF with Bragg cladding), to enhance the excitation efficiency. The simulation and experimental results validate that the AR-BHCF dominates in having a stronger ability to confine the optical field in the air core indeed. Then, the acoustic signal stimulated by the photoacoustic effect will propagate along with the fiber axial, and part of it will penetrate out of the AR-BHCF. The results revealed that the transmission bandwidth of the acoustic wave in the AR-BHCF ranges from 1 Hz to 1 MHz, covering infrasound to ultrasound. In particular, a constant coefficient of 0.5 exists in the acoustic wave fading process, related to the propagation frequency and time. The acoustic signal can be monitored in real time, assisted by the ultra-highly sensitive sensor head. Therefore, BHCF-based devices combined with photoacoustic techniques may accelerate their sensing applications. Meanwhile, this scheme shines a light on the theoretical foundation of novel short-haul distributed acoustic sensing. Full article
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<p>(<b>a</b>) Cross-section of the BHCF. (<b>b</b>) Schematic diagram of the light pathway. (<b>c</b>) Optical field distribution of the resonant wavelength in the cladding. (<b>d</b>) Optical field distribution of the anti-resonant wavelength in the core.</p>
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<p>(<b>a</b>) Transmission spectrum of different inner diameters. (<b>b</b>) Transmission spectrum of different lengths.</p>
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<p>Transmission spectrum of the BHCF and HCF under the same parameters. In the BHCF, <span class="html-italic">n</span><sub>0</sub>, <span class="html-italic">n</span><sub>1</sub>, <span class="html-italic">n</span><sub>2</sub>, d<sub>1</sub>, and d<sub>2</sub> are 1.000, 1.444, 1.454, 1.06 μm, and 3.07 μm, respectively. In the HCF, <span class="html-italic">n</span><sub>0</sub> and <span class="html-italic">n</span><sub>1</sub> are 1.000 and 1.444, respectively. The inner diameter and length of both HCFs are 32 μm and 1.3 mm, respectively.</p>
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<p>(<b>a</b>) The circular pipe model of the BHCF (<b>left</b>) and acoustic pressure distribution in the air core (<b>right</b>). (<b>b</b>) Acoustic pressure response with different frequencies.</p>
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<p>Acoustic field distribution of 1 kHz in the BHCF at (<b>a</b>) 0.15 ms, (<b>b</b>) 0.45 ms, and (<b>c</b>) 0.5 ms.</p>
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<p>Time domain waveform of the acoustic wave (inset with the red line), acoustic field, and acoustic pressure distribution at a certain time, and the corresponding frequency: (<b>a</b>) 1 Hz; (<b>b</b>) 100 Hz; (<b>c</b>) 10 kHz; and (<b>d</b>) 1 MHz.</p>
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<p>(<b>a</b>) Model diagram of piezoelectric ceramics. (<b>b</b>) Terminal voltage when the sound source frequency is 100 Hz.</p>
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19 pages, 4387 KiB  
Article
Research on the Application of MEMS Gyroscope in Inspecting the Breakage of Urban Sewerage Pipelines
by Yunlong Xiao, Jinheng Meng, Hexiang Yan, Jiaying Wang, Kunlun Xin and Tao Tao
Water 2023, 15(13), 2426; https://doi.org/10.3390/w15132426 - 30 Jun 2023
Viewed by 1383
Abstract
Long-term corrosion, construction irregularities, road pressure and other reasons lead to various defects in urban sewer pipelines. Closed-circuit television (CCTV) and quick view (QV) are currently the most commonly used techniques to detect the internal state of the pipeline, but CCTV requires a [...] Read more.
Long-term corrosion, construction irregularities, road pressure and other reasons lead to various defects in urban sewer pipelines. Closed-circuit television (CCTV) and quick view (QV) are currently the most commonly used techniques to detect the internal state of the pipeline, but CCTV requires a large amount of capital investment and manpower costs, while QV is faced with the use of limitations and inaccurate positioning. The inspection of urban sewerage networks has long been a challenge for the relevant management authorities to overcome. To this end, in this study, an device was assembled using a six-axis MEMS gyroscope sensor as the core component to inspect and locate the breakage point of the pipe. Specifically, a six-axis MEMS gyroscope sensor is used as the core component along with a small lithium battery and a remote control switch assembled in a highly waterproof round box, and dropped into a laboratory to simulate a sewage pipe that has external water infiltration. Then the device is recovered and the SD card on which the data is stored is removed, the data is loaded to perform the coordinate conversion process and restore the trajectory and attitude of the device along its travel. The three axis axial acceleration of the device before and after passing through the infiltration point is analyzed for anomalies, as well as changes in the roll and pitch angle fluctuations of the device. Multiple experiments demonstrated that the six-axis MEMS gyro sensor response is very sensitive, generating data and storing it through the DATALOG module. With the reading and analysis of the data, when the pipeline is broken by external water intrusion, the axial acceleration value, pitch angle and roll angle of the device will change abruptly after flowing through the infiltration point, based on the analysis of these indicators the preliminary judgment of the extent of external water infiltration and locate the location of the infiltration point, potential applications of MEMS gyroscopic sensors in the field of sewerage are believed to be vast. Full article
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<p>Assembly of the equipment.</p>
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<p>The design of the experimental installation for sewerage pipes.</p>
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<p>Laboratory simulation of sewage piping installations.</p>
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<p>Schematic diagram of the groundwater infiltration into the Sewerage pipe.</p>
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<p>Physical view of the device flowing.</p>
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<p>Yaw, Pitch and Roll of an object.</p>
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<p>Eulerian angle of the pose of the carrier with relation to the geographical coordinate system.</p>
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<p>Anomalous values for 3D axial acceleration of the equipment in Case 1.</p>
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<p>Anomalous values for 3D axial acceleration of the equipment in Case 2.</p>
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<p>Equipment pitching angle change of the Case 1.</p>
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<p>Equipment rolling angle change of the Case 1.</p>
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<p>Equipment pitching angle change of the Case 2.</p>
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<p>Equipment rolling angle change of the Case 2.</p>
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<p><span class="html-italic">R</span>-value box diagram.</p>
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15 pages, 1893 KiB  
Article
Reducing the Impact of Sensor Orientation Variability in Human Activity Recognition Using a Consistent Reference System
by Manuel Gil-Martín, Javier López-Iniesta, Fernando Fernández-Martínez and Rubén San-Segundo
Sensors 2023, 23(13), 5845; https://doi.org/10.3390/s23135845 - 23 Jun 2023
Cited by 2 | Viewed by 1235
Abstract
Sensor- orientation is a critical aspect in a Human Activity Recognition (HAR) system based on tri-axial signals (such as accelerations); different sensors orientations introduce important errors in the activity recognition process. This paper proposes a new preprocessing module to reduce the negative impact [...] Read more.
Sensor- orientation is a critical aspect in a Human Activity Recognition (HAR) system based on tri-axial signals (such as accelerations); different sensors orientations introduce important errors in the activity recognition process. This paper proposes a new preprocessing module to reduce the negative impact of sensor-orientation variability in HAR. Firstly, this module estimates a consistent reference system; then, the tri-axial signals recorded from sensors with different orientations are transformed into this consistent reference system. This new preprocessing has been evaluated to mitigate the effect of different sensor orientations on the classification accuracy in several state-of-the-art HAR systems. The experiments were carried out using a subject-wise cross-validation methodology over six different datasets, including movements and postures. This new preprocessing module provided robust HAR performance even when sudden sensor orientation changes were included during data collection in the six different datasets. As an example, for the WISDM dataset, sensors with different orientations provoked a significant reduction in the classification accuracy of the state-of-the-art system (from 91.57 ± 0.23% to 89.19 ± 0.26%). This important reduction was recovered with the proposed algorithm, increasing the accuracy to 91.46 ± 0.30%, i.e., the same result obtained when all sensors had the same orientation. Full article
(This article belongs to the Special Issue Robust Motion Recognition Based on Sensor Technology)
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<p>System architecture including the new algorithm before signal processing.</p>
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<p>Generation of the consistent reference system through the algorithm. (Red part of Step 2 Maybe you could say that it represents the plane perpendicular to gravitational component that contains forward component.)</p>
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<p>Convolutional Neural Network architecture used in this work for all the datasets.</p>
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<p>HAR system dealing with different types of activities.</p>
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<p>Confusion matrices for repetitive movements and postures classification results in the MotionSense dataset, using rotated experimental setup (<b>a</b>,<b>c</b>) and rotation and algorithm per type of activity experimental setup (<b>b</b>,<b>d</b>).</p>
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10 pages, 1518 KiB  
Article
Skill Level Classification in Basketball Free-Throws Using a Single Inertial Sensor
by Xiaoyu Guo, Ellyn Brown, Peter P. K. Chan, Rosa H. M. Chan and Roy T. H. Cheung
Appl. Sci. 2023, 13(9), 5401; https://doi.org/10.3390/app13095401 - 26 Apr 2023
Cited by 5 | Viewed by 2205
Abstract
Wearable sensors are an emerging technology, with growing evidence supporting their application in sport performance enhancement. This study utilized data collected from a tri-axial inertial sensor on the wrist of ten recreational and eight professional basketball players while they performed free-throws, to classify [...] Read more.
Wearable sensors are an emerging technology, with growing evidence supporting their application in sport performance enhancement. This study utilized data collected from a tri-axial inertial sensor on the wrist of ten recreational and eight professional basketball players while they performed free-throws, to classify their skill levels. We employed a fully connected convolutional neural network (CNN) for the classification task, using 64% of the data for training, 16% for validation, and the remaining 20% for testing the model’s performance. In the case of considering a single parameter from the inertial sensor, the most accurate individual components were upward acceleration (AX), with an accuracy of 82% (sensitivity = 0.79; specificity = 0.84), forward acceleration (AZ), with an accuracy of 80% (sensitivity = 0.78; specificity = 0.83), and wrist angular velocity in the sagittal plane (GY), with an accuracy of 77% (sensitivity = 0.73; specificity = 0.79). The highest accuracy of the classification was achieved when these CNN inputs utilized a stack-up matrix of these three axes, resulting in an accuracy of 88% (sensitivity = 0.87, specificity = 0.90). Applying the CNN to data from a single wearable sensor successfully classified basketball players as recreational or professional with an accuracy of up to 88%. This study represents a step towards the development of a biofeedback device to improve free-throw shooting technique. Full article
(This article belongs to the Section Applied Biosciences and Bioengineering)
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<p>Wearable sensor positioned on the midpoint of right third metacarpal bone, containing a tri-axial accelerometer and gyroscope.</p>
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<p>Structure of the convolutional neural network.</p>
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<p>Mean (bold line) and standard deviation (shaded) of raw accelerometer and gyroscope data between recreational (blue) and professional basketball players (red).</p>
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<p>Training result of the model.</p>
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28 pages, 2435 KiB  
Article
Machine Learning on Prediction of Relative Physical Activity Intensity Using Medical Radar Sensor and 3D Accelerometer
by Attila Biró, Sándor Miklós Szilágyi, László Szilágyi, Jaime Martín-Martín and Antonio Ignacio Cuesta-Vargas
Sensors 2023, 23(7), 3595; https://doi.org/10.3390/s23073595 - 30 Mar 2023
Cited by 9 | Viewed by 2634
Abstract
Background: One of the most critical topics in sports safety today is the reduction in injury risks through controlled fatigue using non-invasive athlete monitoring. Due to the risk of injuries, it is prohibited to use accelerometer-based smart trackers, activity measurement bracelets, and smart [...] Read more.
Background: One of the most critical topics in sports safety today is the reduction in injury risks through controlled fatigue using non-invasive athlete monitoring. Due to the risk of injuries, it is prohibited to use accelerometer-based smart trackers, activity measurement bracelets, and smart watches for recording health parameters during performance sports activities. This study analyzes the synergy feasibility of medical radar sensors and tri-axial acceleration sensor data to predict physical activity key performance indexes in performance sports by using machine learning (ML). The novelty of this method is that it uses a 24 GHz Doppler radar sensor to detect vital signs such as the heartbeat and breathing without touching the person and to predict the intensity of physical activity, combined with the acceleration data from 3D accelerometers. Methods: This study is based on the data collected from professional athletes and freely available datasets created for research purposes. A combination of sensor data management was used: a medical radar sensor with no-contact remote sensing to measure the heart rate (HR) and 3D acceleration to measure the velocity of the activity. Various advanced ML methods and models were employed on the top of sensors to analyze the vital parameters and predict the health activity key performance indexes. three-axial acceleration, heart rate data, age, as well as activity level variances. Results: The ML models recognized the physical activity intensity and estimated the energy expenditure on a realistic level. Leave-one-out (LOO) cross-validation (CV), as well as out-of-sample testing (OST) methods, have been used to evaluate the level of accuracy in activity intensity prediction. The energy expenditure prediction with three-axial accelerometer sensors by using linear regression provided 97–99% accuracy on selected sports (cycling, running, and soccer). The ML-based RPE results using medical radar sensors on a time-series heart rate (HR) dataset varied between 90 and 96% accuracy. The expected level of accuracy was examined with different models. The average accuracy for all the models (RPE and METs) and setups was higher than 90%. Conclusions: The ML models that classify the rating of the perceived exertion and the metabolic equivalent of tasks perform consistently. Full article
(This article belongs to the Section Radar Sensors)
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<p>Next-Generation Sports Safety Approach.</p>
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<p>Functional block diagram of FWM7RAZ01 radar sensor [<a href="#B32-sensors-23-03595" class="html-bibr">32</a>,<a href="#B33-sensors-23-03595" class="html-bibr">33</a>].</p>
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<p>Channels of FWM7RAZ01 Doppler Radar Sensor.</p>
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<p>Daily sRPE, ACWR, Condition.</p>
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<p>Weekly Expected sRPE, Condition.</p>
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<p>Weekly sRPE, ACWR, Condition.</p>
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<p>HR, MET, and RPE per sport.</p>
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<p>MET and RPE per sport.</p>
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<p>MET, HR, and RPE per sport on segments.</p>
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<p>Predicted MET and RPE per sport on segments.</p>
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<p>METs for football activity with acceleration data.</p>
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<p>METs for cycling activity with acceleration data.</p>
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<p>METs for running activity with acceleration data.</p>
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<p>RPE for football activity with acceleration data.</p>
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<p>RPE for cycling activity with acceleration data.</p>
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<p>RPE for running activity with acceleration data.</p>
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<p>METs and RPE variations for football activity with acceleration data.</p>
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<p>METs and RPE variations for cycling activity with acceleration data.</p>
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<p>METs and RPE variations for running activity with acceleration data.</p>
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11 pages, 1895 KiB  
Article
Leg Dominance—Surface Stability Interaction: Effects on Postural Control Assessed by Smartphone-Based Accelerometry
by Arunee Promsri, Kotchakorn Bangkomdet, Issariya Jindatham and Thananya Jenchang
Sports 2023, 11(4), 75; https://doi.org/10.3390/sports11040075 - 30 Mar 2023
Cited by 5 | Viewed by 2188
Abstract
The preferential use of one leg over another in performing lower-limb motor tasks (i.e., leg dominance) is considered to be one of the internal risk factors for sports-related lower-limb injuries. The current study aimed to investigate the effects of leg dominance on postural [...] Read more.
The preferential use of one leg over another in performing lower-limb motor tasks (i.e., leg dominance) is considered to be one of the internal risk factors for sports-related lower-limb injuries. The current study aimed to investigate the effects of leg dominance on postural control during unipedal balancing on three different support surfaces with increasing levels of instability: a firm surface, a foam pad, and a multiaxial balance board. In addition, the interaction effect between leg dominance and surface stability was also tested. To this end, a tri-axial accelerometer-based smartphone sensor was placed over the lumbar spine (L5) of 22 young adults (21.5 ± 0.6 years) to record postural accelerations. Sample entropy (SampEn) was applied to acceleration data as a measure of postural sway regularity (i.e., postural control complexity). The results show that leg dominance (p < 0.001) and interaction (p < 0.001) effects emerge in all acceleration directions. Specifically, balancing on the dominant (kicking) leg shows more irregular postural acceleration fluctuations (high SampEn), reflecting a higher postural control efficiency or automaticity than balancing on the non-dominant leg. However, the interaction effects suggest that unipedal balancing training on unstable surfaces is recommended to reduce interlimb differences in neuromuscular control for injury prevention and rehabilitation. Full article
(This article belongs to the Special Issue Sports Injury: Prevention and Rehabilitation)
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<p>Illustrations of the standardized foot position on (<b>A</b>) a firm surface, (<b>B</b>) a foam pad, and (<b>C</b>) an MFT Challenge Disc.</p>
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<p>Example tri-axial acceleration data of unipedal balancing on (<b>A</b>) a firm surface, (<b>B</b>) a foam pad, and (<b>C</b>) an MFT Challenge Disc, with the corresponding SampEn calculated for each sway direction. Note: the presented data were retrieved from the first trial of one female participant during 40 s of unipedal balancing by the dominant leg on each support surface.</p>
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<p>Interaction effects between leg dominance and surface stability on SampEn in (<b>A</b>) vertical (VT), (<b>B</b>) mediolateral (ML), and (<b>C</b>) anteroposterior (AP) accelerations.</p>
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16 pages, 5850 KiB  
Article
Testing and Analysis of the Vibration Response Characteristics of Heavy-Haul Railway Tunnels and Surrounding Soil with Base Voids
by Liping Gao, Jianjun Luo, Tielin Chen, Dengke Wang and Guanqing Wang
Appl. Sci. 2023, 13(7), 4090; https://doi.org/10.3390/app13074090 - 23 Mar 2023
Cited by 1 | Viewed by 1165
Abstract
This paper discusses research on the dynamic response characteristics of a heavy-haul railway tunnel and the surrounding soil under the conditions of substrate health and a base void. The detection results of the base condition of 20 double-track tunnels for a heavy-haul railway [...] Read more.
This paper discusses research on the dynamic response characteristics of a heavy-haul railway tunnel and the surrounding soil under the conditions of substrate health and a base void. The detection results of the base condition of 20 double-track tunnels for a heavy-haul railway show the main distribution law of base voids. Based on this, a 1:20 scale test model of a heavy-haul railway tunnel is established. The vibration load of the train is established by a vibration exciter arranged at the tunnel invert. The dynamic response and attenuation law of a heavy-haul railway tunnel lining structure and the surrounding soil are tested using acceleration sensors, strain gauges, and soil pressure boxes. The research results show that most of the diseases are concentrated below the heavy-haul line. The base void causes the peak acceleration of the nearby tunnel invert to increase by 55.6%. Tunnel annular construction joints reduce the conductivity of the vibration waves in the axial direction of the tunnel. The acceleration attenuation rate of the soil above the tunnel invert is significantly less than that under the invert. The base void reduces the acceleration of the nearby soil layer by 19.4% and increases the stress on the surface of the nearby tunnel invert by 21.3%, and the stress change amplitude increases by 0.55%. The tunnel structure in the area of the base void experiences fatigue damage. The base void causes the compaction and bearing capacity of the nearby soil to decrease and the softening speed of the tunnel basement soil layer to increase. Therefore, for the basement damage to heavy-haul railway tunnels, “early detection, early treatment” should be performed. Full article
(This article belongs to the Section Civil Engineering)
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<p>Typical radar map of base void.</p>
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<p>Cumulative length of tunnel with different base void lengths.</p>
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<p>Cumulative length of tunnel with different base void widths.</p>
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<p>Dimensions of tunnel section (m).</p>
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<p>The production process of the lining model: (<b>a</b>) positioning and assembling; (<b>b</b>) brushing the oil; (<b>c</b>) slurry stirring; (<b>d</b>) perfusion model.</p>
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<p>Model test bench.</p>
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<p>The layout of the acceleration sensor in the tunnel (cm): (<b>a</b>) annular layout; (<b>b</b>) axial layout on the tunnel invert.</p>
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<p>The layout of the acceleration sensor in the soil layer (cm).</p>
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<p><b>The</b> layout of strain sheet (cm).</p>
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<p><b>The</b> layout of soil pressure cell (cm).</p>
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<p>Schematic of the base void.</p>
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<p>Time history curve of simulated train load.</p>
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<p>Simulated train load.</p>
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<p>Acceleration time course curve of the tunnel axial measuring points: (<b>a</b>) no base void; (<b>b</b>) with base void.</p>
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<p>Peak value of the acceleration of each measuring point of the tunnel invert (m/s<sup>2</sup>).</p>
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<p>Stress-time curve of typical tunnel measurement points: (<b>a</b>) no base void; (<b>b</b>) with base void.</p>
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<p>Relationship between peak stress and allowable stress at the measuring points of the invert.</p>
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<p>Acceleration time curve of soil measuring points below tunnel invert: (<b>a</b>) no base void; (<b>b</b>) with base void.</p>
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<p>Peak acceleration of soil measurement points above the tunnel vault.</p>
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<p>Peak vertical pressure of the soil layer below the tunnel invert.</p>
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17 pages, 3458 KiB  
Article
Physical Activity Recognition Based on Deep Learning Using Photoplethysmography and Wearable Inertial Sensors
by Narit Hnoohom, Sakorn Mekruksavanich and Anuchit Jitpattanakul
Electronics 2023, 12(3), 693; https://doi.org/10.3390/electronics12030693 - 30 Jan 2023
Cited by 16 | Viewed by 2921
Abstract
Human activity recognition (HAR) extensively uses wearable inertial sensors since this data source provides the most information for non-visual datasets’ time series. HAR research has advanced significantly in recent years due to the proliferation of wearable devices with sensors. To improve recognition performance, [...] Read more.
Human activity recognition (HAR) extensively uses wearable inertial sensors since this data source provides the most information for non-visual datasets’ time series. HAR research has advanced significantly in recent years due to the proliferation of wearable devices with sensors. To improve recognition performance, HAR researchers have extensively investigated other sources of biosignals, such as a photoplethysmograph (PPG), for this task. PPG sensors measure the rate at which blood flows through the body, and this rate is regulated by the heart’s pumping action, which constantly occurs throughout the body. Even though detecting body movement and gestures was not initially the primary purpose of PPG signals, we propose an innovative method for extracting relevant features from the PPG signal and use deep learning (DL) to predict physical activities. To accomplish the purpose of our study, we developed a deep residual network referred to as PPG-NeXt, designed based on convolutional operation, shortcut connections, and aggregated multi-branch transformation to efficiently identify different types of daily life activities from the raw PPG signal. The proposed model achieved more than 90% prediction F1-score from experimental results using only PPG data on the three benchmark datasets. Moreover, our results indicate that combining PPG and acceleration signals can enhance activity recognition. Although, both biosignals—electrocardiography (ECG) and PPG—can differentiate between stationary activities (such as sitting) and non-stationary activities (such as cycling and walking) with a level of success that is considered sufficient. Overall, our results propose that combining features from the ECG signal can be helpful in situations where pure tri-axial acceleration (3D-ACC) models have trouble differentiating between activities with relative motion (e.g., walking, stair climbing) but significant differences in their heart rate signatures. Full article
(This article belongs to the Special Issue Artificial Intelligence Technologies and Applications)
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<p>Residual structure.</p>
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<p>HAR workflow used in this work.</p>
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<p>The sliding window technique with a fixed length employed in this work.</p>
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<p>The PPG-NeXt network architecture proposed in this work.</p>
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<p>The confusion matrix of the proposed PPG-NeXt models using PPG and acceleration data: (<b>a</b>–<b>c</b>) for PPG-DaLiA; (<b>d</b>–<b>f</b>) for PPG-ACC; (<b>g</b>–<b>i</b>) for Wrist PPG During Exercise datasets.</p>
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<p>Subject-specific model results.</p>
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10 pages, 3977 KiB  
Article
Frequency Modulation Approach for High Power Density 100 Hz Piezoelectric Vibration Energy Harvester
by Dengfeng Ju, Lu Wang, Chunlong Li, Hui Huang, Hongjing Liu, Kewen Liu, Qian Wang, Xiangguang Han, Libo Zhao and Ryutaro Maeda
Sensors 2022, 22(23), 9493; https://doi.org/10.3390/s22239493 - 5 Dec 2022
Viewed by 1657
Abstract
Piezoelectric vibration energy harvester (PVEH) is a promising device for sustainable power supply of wireless sensor nodes (WSNs). PVEH is resonant and generates power under constant frequency vibration excitation of mechanical equipment. However, it cannot output high power through off-resonance if it has [...] Read more.
Piezoelectric vibration energy harvester (PVEH) is a promising device for sustainable power supply of wireless sensor nodes (WSNs). PVEH is resonant and generates power under constant frequency vibration excitation of mechanical equipment. However, it cannot output high power through off-resonance if it has frequency offset in manufacturing, assembly and use. To address this issue, this paper designs and optimizes a PVEH to harvest power specifically from grid transformer vibration at 100 Hz with high power density of 5.28 μWmm−3g−2. Some resonant frequency modulation methods of PVEH are discussed by theoretical analysis and experiment, such as load impedance, additional mass, glue filling, axial and transverse magnetic force frequency modulation. Finally, efficient energy harvesting of 6.1 V output in 0.0226 g acceleration is tested in grid transformer reactor field application. This research has practical value for the design and optimization process of tunable PVEH for a specific vibration source. Full article
(This article belongs to the Section Intelligent Sensors)
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<p>Tunable PVEH structure diagram.</p>
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<p>PVEH modeling and simulation: (<b>a</b>) PVEH 2D model; (<b>b</b>) PVEH resonant frequency and peak voltage varied with big mass thickness; (<b>c</b>) RMS power in different load resistance near resonant frequency of PVEH with 5 mm big mass thickness; (<b>d</b>) stress check cloud chart.</p>
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<p>(<b>a</b>) PVEH assembly parts and (<b>b</b>) PVEH prototype.</p>
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<p>PVEH frequency modulation result by load impedance: (<b>a</b>) PVEH experimental peak voltage frequency response curves at open circuit (load resistance of 10 MΩ) and short circuit (load resistance of 1 kΩ); PVEH experimental (<b>b</b>) peak voltage and (<b>c</b>) RMS power in different load resistance at 106.3 Hz, 100 Hz and 98.8 Hz, respectively.</p>
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<p>PVEH frequency modulation result by adding mass: (<b>a</b>) PVEH prototype with added mass; (<b>b</b>) PVEH experimental peak voltage frequency response curves at open-circuit (load resistance of 10 MΩ) and short-circuit (load resistance of 1 kΩ); (<b>c</b>) PVEH experimental RMS power in different load resistance at 100 Hz.</p>
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<p>PVEH frequency modulation method and result by magnetic force: (<b>a</b>) PVEH prototype with axial magnetic force; (<b>b</b>) Resonant frequency and (<b>c</b>) voltage at open-circuit (load resistance of 10 MΩ) by axial attractive force and repulsive force with a different magnetic gap; (<b>d</b>) PVEH prototype with transverse magnetic force; (<b>e</b>) Resonant frequency and (<b>f</b>) voltage at open circuit (load resistance of 10 MΩ) by transverse attractive force and repulsive force with different magnetic gap.</p>
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<p>PVEH field application in grid transformer reactor: (<b>a</b>) Photo of PVEH field application; (<b>b</b>) Acceleration spectrum of grid transformer reactor; (<b>c</b>) Voltage time response curve at open circuit (load resistance of 10 MΩ).</p>
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18 pages, 10406 KiB  
Article
Numerical Study on Improved Geometry of Outlet Pressure Ripple in Parallel 2D Piston Pumps
by Yu Huang, Qianqian Lu, Wei Shao, Li Liu, Chuan Ding and Jian Ruan
Aerospace 2022, 9(10), 629; https://doi.org/10.3390/aerospace9100629 - 21 Oct 2022
Cited by 1 | Viewed by 1538
Abstract
Because the axial piston pump is often used in the aerospace and aviation fields, it is necessary to pay attention to its outlet pressure and flow characteristics. The parallel 2D piston pump proposed, based on the axial piston pump, has no structural flow [...] Read more.
Because the axial piston pump is often used in the aerospace and aviation fields, it is necessary to pay attention to its outlet pressure and flow characteristics. The parallel 2D piston pump proposed, based on the axial piston pump, has no structural flow ripple because it has a rail with a uniform acceleration and deceleration. Now, the pump is used in the special working conditions of the aerospace field, and it is required to meet the rated flow of 50 L/min, the rated load of 8 MPa, and an extremely low-pressure ripple. Based on CFD technology, this paper studies the pump’s outlet flow and pressure ripples through numerical simulation. According to the causes of the outlet pressure ripple, an improved geometry is determined to further reduce the outlet pressure ripple. Using a high-frequency pressure sensor to measure the outlet pressure ripple of the optimized pump prototype, it was found that the outlet pressure ripple rate of the prototype was only 6%. The parallel 2D piston pump has been proved by the simulation and test that its outlet pressure ripple is extremely low. However, it is not effective to reduce the outlet flow ripple by increasing the pre-pressure and reducing the backflow. In parallel 2D piston pumps, it is still necessary to find a new method to further reduce outlet pressure and flow ripples. Full article
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<p>(<b>a</b>) The mechanical design of a parallel 2D piston pump and (<b>b</b>) working principle of the rollers and the guiding rail.</p>
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<p>The theoretical outlet flow of the parallel 2D piston pump.</p>
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<p>The fluid zone of the parallel 2D piston pump.</p>
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<p>Grid models of (<b>a</b>) the left pump unit and (<b>b</b>) the right pump unit.</p>
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<p>Boundary settings of the left pump unit.</p>
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<p>Dimensions and boundary settings of the inlet fluid zone.</p>
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<p>(<b>a</b>) The outlet fluid zone and (<b>b</b>) the outlet pipe.</p>
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<p>The grid model of the parallel 2D piston pump.</p>
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<p>Relation between number of mesh elements and averaged outlet pressure.</p>
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<p>Boundary settings of the two pump units.</p>
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<p>The chamber pressure in the LLC.</p>
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<p>The outlet and inlet flow in the LLC.</p>
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<p>The grid mesh of the pump unit.</p>
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<p>(<b>a</b>) The pressure in the left chamber and (<b>b</b>) the outlet flow of the pump unit.</p>
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<p>Pressure distributions in the outlet fluid zone when the pump rotates to (<b>a</b>) 7.2 deg, (<b>b</b>) 10.8 deg, (<b>c</b>) 14.4 deg, and (<b>d</b>) 18 deg.</p>
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<p>The outlet pressure of the parallel 2D piston pump.</p>
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<p>The outlet flow of the parallel 2D piston pump.</p>
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<p>The comparison of two mechanical structures before and after improved geometry.</p>
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<p>Comparisons of (<b>a</b>) chamber pressures and (<b>b</b>) outlet and inlet flows.</p>
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<p>Comparisons of (<b>a</b>) the outlet flows and (<b>b</b>) the outlet pressures.</p>
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<p>(<b>a</b>) The test system and (<b>b</b>) the test rig.</p>
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<p>(<b>a</b>) The test system and (<b>b</b>) the test rig.</p>
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<p>The comparisons (<b>a</b>) between the original test data with the processed test data and (<b>b</b>) the measured outlet pressure ripple with that obtained by numerical calculation.</p>
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<p>Frequency spectrograms of the test data and simulation result.</p>
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21 pages, 7379 KiB  
Article
Bearing Fault Diagnosis of Hot-Rolling Mill Utilizing Intelligent Optimized Self-Adaptive Deep Belief Network with Limited Samples
by Rongrong Peng, Xingzhong Zhang and Peiming Shi
Sensors 2022, 22(20), 7815; https://doi.org/10.3390/s22207815 - 14 Oct 2022
Cited by 4 | Viewed by 3389
Abstract
Given the complexity of the operating conditions of rolling bearings in the actual rolling process of a hot mill and the difficulty in collecting data pertinent to fault bearings comprehensively, this paper proposes an approach that diagnoses the faults of a rolling mill [...] Read more.
Given the complexity of the operating conditions of rolling bearings in the actual rolling process of a hot mill and the difficulty in collecting data pertinent to fault bearings comprehensively, this paper proposes an approach that diagnoses the faults of a rolling mill bearing by employing the improved sparrow search algorithm deep belief network (ISAA-DBN) with limited data samples. First, the fast spectral kurtosis approach is adopted to convert the non-stationary original vibration signals collected by the acceleration sensors installed at the axial and radial ends of the rolling mill bearings into two-dimensional (2D) spectral kurtosis time–frequency images with higher feature recognition, and the principal component analysis (PCA) technique is used to decrease the dimension of the data in order to achieve a high diagnosis rate with a limited number of samples. Subsequently, the sparrow search algorithm (SSA) is used to realize the intelligent optimized self-adaptive function of a deep belief network (DBN). Furthermore, the firefly disturbance algorithm is employed to improve the spatial search capability and robustness of SSA-DBN in order to achieve better performance of the ISSA-DBN method. Finally, the proposed approach is experimentally compared to other approaches used for diagnosis. The results show that the proposed approach not only retains the useful features of the data through dimension reduction but also improves the efficiency of the diagnosis and achieves the highest diagnosis accuracy with limited data samples. In addition, the optimal position of the sensor for diagnosing rolling mill roll faults is identified. Full article
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<p>F2 mill housing structure of the 1780 mm hot strip-rolling mill.</p>
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<p>Vibration data acquisition system of the rolling mill.</p>
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<p>Structure of the restricted Boltzmann machine.</p>
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<p>Fundamental skeleton of DBN.</p>
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<p>Improved sparrow search algorithm (ISSA) process.</p>
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<p>Flowchart of fault diagnosis of rolling mill using ISSA-DBN.</p>
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<p>Rolling mill fault diagnosis test platform and fault bearing type.</p>
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<p>Time domain waveform of different fault signals of rolling mill bearings collected by sensor I.</p>
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<p>Time domain waveform of different fault signals of rolling mill bearings collected by sensor II.</p>
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<p>Time domain waveform of different fault signals of rolling mill bearings collected by sensor II.</p>
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<p>Two-dimensional spectral kurtosis of different fault signals of rolling mill bearings collected by sensor I.</p>
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<p>Two-dimensional spectral kurtosis of different fault signals of rolling mill bearings collected by sensor II.</p>
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<p>Two-dimensional spectral kurtosis of different fault signals of rolling mill bearings collected by sensor II.</p>
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<p>Contribution rate of data characteristics in sensor I.</p>
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<p>Contribution rate of data characteristics in sensor II.</p>
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<p>Influence of rolling speed on sensor amplitude.</p>
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<p>Average number of training epochs of different data processing methods.</p>
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<p>Classification performance of different diagnostic methods.</p>
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<p>Visual analysis of characteristics of small sample data. (<b>a</b>) the visualization effect of the original test sample. (<b>b</b>) the visualization effect of the ISSA-DBN method.</p>
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<p>Confusion matrix of rolling mill bearing fault diagnosis results.</p>
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<p>ROC curve of rolling mill bearing diagnosis results.</p>
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12 pages, 2178 KiB  
Article
Using Deep Learning to Predict Minimum Foot–Ground Clearance Event from Toe-Off Kinematics
by Clement Ogugua Asogwa, Hanatsu Nagano, Kai Wang and Rezaul Begg
Sensors 2022, 22(18), 6960; https://doi.org/10.3390/s22186960 - 14 Sep 2022
Cited by 3 | Viewed by 2532
Abstract
Efficient, adaptive, locomotor function is critically important for maintaining our health and independence, but falls-related injuries when walking are a significant risk factor, particularly for more vulnerable populations such as older people and post-stroke individuals. Tripping is the leading cause of falls, and [...] Read more.
Efficient, adaptive, locomotor function is critically important for maintaining our health and independence, but falls-related injuries when walking are a significant risk factor, particularly for more vulnerable populations such as older people and post-stroke individuals. Tripping is the leading cause of falls, and the swing-phase event Minimum Foot Clearance (MFC) is recognised as the key biomechanical determinant of tripping probability. MFC is defined as the minimum swing foot clearance, which is seen approximately mid-swing, and it is routinely measured in gait biomechanics laboratories using precise, high-speed, camera-based 3D motion capture systems. For practical intervention strategies designed to predict, and possibly assist, swing foot trajectory to prevent tripping, identification of the MFC event is essential; however, no technique is currently available to determine MFC timing in real-life settings outside the laboratory. One strategy has been to use wearable sensors, such as Inertial Measurement Units (IMUs), but these data are limited to primarily providing only tri-axial linear acceleration and angular velocity. The aim of this study was to develop Machine Learning (ML) algorithms to predict MFC timing based on the preceding toe-off gait event. The ML algorithms were trained using 13 young adults’ foot trajectory data recorded from an Optotrak 3D motion capture system. A Deep Learning configuration was developed based on a Recurrent Neural Network with a Long Short-Term Memory (LSTM) architecture and Huber loss-functions to minimise MFC-timing prediction error. We succeeded in predicting MFC timing from toe-off characteristics with a mean absolute error of 0.07 s. Although further algorithm training using population-specific inputs are needed. The ML algorithms designed here can be used for real-time actuation of wearable active devices to increase foot clearance at critical MFC and reduce devastating tripping falls. Further developments in ML-guided actuation for active exoskeletons could prove highly effective in developing technologies to reduce tripping-related falls across a range of gait impaired populations. Full article
(This article belongs to the Special Issue Feature Papers in Biosensors Section 2022)
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<p>(<b>Left-top</b>) toe-off, (<b>left-middle</b>) heel contact, and (<b>left-bottom</b>) Minimum Foot Clearance (MFC) events; marker setup for foot modelling infrared emitting diodes (IREDs) and virtual markers; MFC, the intermittent event between toe-off and heel contact. (<b>Right</b>) Swing-phase kinematics showing: (<b>right-top</b>) MFC detection at the local mid-swing minimum vertical displacement, (<b>right-middle</b>) MFC coincident with maximum horizontal velocity, (<b>right-bottom</b>) MFC timing at zero horizontal acceleration.</p>
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<p>LSTM architecture with two LSTM layers (64 and 32 units each) stacked together followed by a drop-out layer to avoid overfitting, a dense layer, and a compiler. Below it is a representation of a unit LSTM architecture consisting of Forget gate to decide what must be removed from the (<math display="inline"><semantics> <mrow> <msub> <mi>h</mi> <mrow> <mi>t</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math>) state, the Input gate to write from present input to current cell state, and the Output gate to decide what to output from cell state using the sigmoid function. The outputs of the Input and Forget Gate are summed together to determine each current Cell State.</p>
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<p>Definitions of foot kinematics data based on the segment coordination system. X, Y, Z in line with linear acceleration (+), arrows around the axes indicating positive (+) angular velocity direction.</p>
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<p>Performance comparison of Huber loss, MSE loss, and MAE loss functions on the training data with 50 past observations at different window lengths.</p>
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<p>MFC timing forecast from toe-off kinematics at five prediction horizons between 0.15 s and 0.35 s. MFC forecasting diminishes and transitions to a new cycle as the forecast horizon increases.</p>
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