IEEE TRANSACTIONS ON NEURAL SYSTEMS AND REHABILITATION ENGINEERING, VOL. 25, NO. 3, MARCH 2017
215
An Empirical Evaluation of Force Feedback in
Body-Powered Prostheses
Jeremy D. Brown, Member, IEEE , Timothy S. Kunz, Duane Gardner, Mackenzie K. Shelley,
Alicia J. Davis, and R. Brent Gillespie, Member, IEEE
Abstract — Myoelectric prostheses have many advantages over body-powered prostheses, yet the absence of
sensory feedback in myoelectric devices is one reason
body-powered devices are often preferred by amputees.
While considerable progress has been made in the mechanical design and control of myoelectric prostheses, research
on haptic feedback has not had a similar impact. In this
study, we seek to develop a fundamental understanding
of the utility of force feedback and vision in the functional
operation of a body-powered upper-limb prosthesis. Using
a custom body-powered prosthesis in which force feedback
can be conditionally removed, we asked N = 10 nonamputee participants to identify objects based on stiffness
in four separate conditions with and without visual and/or
force feedback. Results indicate that the combination of
visual and force feedback allows for the best accuracy,
followed by force feedback only, then visual feedback only.
In addition, combining force feedback with visual feedback
does not significantly affect identification timing compared
to visual feedback alone. These findings suggest that consideration should be given to the development of force
feedback displays for myoelectric prostheses that function
like a Bowden cable, coupling the amputee’s control input
to the resulting feedback.
Index Terms — Body-powered, force feedback, prosthetics, visual feedback.
Manuscript received January 13, 2015; revised July 21, 2015, and
October 6, 2015; accepted November 24, 2015. Date of publication
April 14, 2016; date of current version March 20, 2017. This work was
supported in part by the National Science Foundation Grant IIS-1065027,
and by a NSF Graduate Research Fellowship held by the first author.
J. D. Brown was with the Department of Mechanical Engineering,
University of Michigan, Ann Arbor, MI 48109 USA. He is now with
the Department of Mechanical Engineering and Applied Mechanics,
University of Pennsylvania, Philadelphia, PA 19104 USA (e-mail: brownjer@seas.upenn.edu).
T. S. Kunz was with the Department of Physical Medicine and
Rehabilitation Orthotics and Prosthetics Center, University of Michigan, Ann Arbor, MI 48109 USA. He is now with Kootenai Prosthetics and Orthotics Services, Post Falls, ID 83854 USA (e-mail:
timothy-kunz@ouhsc.edu).
D. Gardner was with the Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109 USA. He is now
with the Boeing Corporation, St. Louis, MO 63134 USA (e-mail:
duane.gardner@boeing.com).
M. K. Shelley is with the Department of Electrical Engineering and
Computer Science, University of Michigan, Ann Arbor, MI 48109 USA
(e-mail: mshelley@umich.edu).
A. J. Davis is with the Department of Physical Medicine and Rehabilitation Orthotics and Prosthetics Center, University of Michigan, Ann Arbor,
MI 48109 USA (e-mail: aliciad@med.umich.edu).
R. B. Gillespie is with the Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, 48109 USA (e-mail:
brentg@umich.edu).
Digital Object Identifier 10.1109/TNSRE.2016.2554061
I. I NTRODUCTION
OR an upper-limb amputee, the choice between a bodypowered or a myoelectric prosthesis involves a tradeoff.
The body-powered and myoelectric devices each offer unique
advantages in terms of weight, available degrees of freedom,
ease of control, and availability of sensory feedback that
are—for the most part—mutually exclusive. One advantage
of body-powered devices is their support for force feedback,
generated naturally by the mechanical linkage between the
terminal device and shoulder harness used for control. Using
this haptic feedback, amputees are able to develop closed-loop,
force-control schemes. This helps explain why body-powered
devices are still widely used today, despite remaining relatively
unchanged in design since their development over 60 years
ago [1]. In contrast, myoelectric1 devices do not provide haptic
feedback, thus forcing amputees to rely more heavily on vision
and incidental auditory cues.
Amputees who wear myoelectric or body-powered prostheses list gripping, steadying, and manipulating as most
important among the functional roles of their prosthesis,
and they rank function and comfort as top design priorities
for future device development [2]. Most notably, amputees
who currently wear a myoelectric device as their primary
prosthesis identify the lack of adequate sensory feedback
as one area of dissatisfaction with their device [2]. While
amputees have been desiring improved haptic feedback from
their myoelectric prostheses for over 25 years [3], the greatest
advancements have come in the form of limbs that have more
degrees of freedom. Examples include the Deka Arm [4],
the APL arm [5], and the Touch Bionics iLimb Ultra prosthetic hand [6]. To give amputees adequate control over these
improved devices, researchers have focused on developing
advanced control schemes based on myoelectric pattern recognition algorithms [7] and targeted muscle reinnervation [8].
To provide haptic sensory feedback to supplement vision,
researchers have been developing haptic display mechanisms
since the 1960s [1]. To date, numerous technologies have
been studied that use haptic display to relay signals sensed
electronically from the terminal device, including electrocutaneous stimulation [9], [10], vibrotactile stimulation [11]–[13],
skin stretch stimulation [14], mechanotactile stimulation
F
1 While the term myoelectric devices generally refers to a class of externally
powered prostheses that can receive their control input from many sources,
we restrict our definition here to only include those devices that rely on
transduction of muscle activity through surface EMG electrodes.
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(displaying forces normal to the skin [15]) [16]–[18], and
devices that combine multiple types of stimulation [19], [20].
These technologies, however, have not made their way into
clinical practice or commercial availability while the advances
in mechanical design and improved control have made considerable impact.
The lack of impact by advancements in haptic display
for myoelectric devices might be attributed to an inability of the haptic display to provide the rich information
intrinsically available through the Bowden cable in bodypowered devices. By allowing a direct mapping between
body action and terminal device aperture, the Bowden cable
provides amputees with a proprioceptive sense of the terminal device. This mapping is consonant with the principle
of extended physiological proprioception first introduced by
Simpson in the 1970s [21] and explored in a limited scaled by
others [22]–[24]. At the same time, the Bowden cable
allows for all control input (action) to and force feedback
(re-action) from the terminal device to originate and terminate,
respectively, at the same point on the body. In this manner,
the dynamics of the body are coupled to the dynamics of the
world encountered in the grasp of the terminal device. These
coupled dynamics have been shown to improve performance
over the case where body and world are decoupled [25].
Development of a haptic display for myoelectric prostheses
that features haptic feedback akin to that available in bodypowered prostheses presents a unique challenge: myoelectric
prostheses lack a Bowden cable. It still may be possible,
however, if the utility provided by the Bowden cable can be
replicated by other means. To date, there are no empirical
evaluations of Bowden cable utility, even in body-powered
devices. To inform the design of a sensory feedback display for
myoelectric devices, it would first be worthwhile to quantify
the benefits of force feedback in body-powered devices. Any
direct comparison of myoelectric and body-powered devices,
however, would be confounded with both a change in control (EMG versus body) and sensory feedback (visual versus
visual+force) that prevents easy interpretation. Conditionally
removing force feedback from a body-powered prosthesis
would produce valuable comparative results.
The literature on teleoperation might prove useful for quantifying the value of force feedback. Indeed, a prosthesis can
be considered a teleoperator in the sense that it connects
the amputee’s residual limb to the world experienced at the
distal end of the prosthesis. The obvious difference here is
that for traditional teleoperators, the hand is used to interact
with the master side of the device; for prosthetics, the absence
of a physical hand on the residual limb necessitates referral
to another body part, such as the shoulder. Nonetheless,
body-powered prostheses are very similar to the mechanical
teleoperators first developed by Goertz to handle radioactive
material [26]: both feature a mechanical linkage between the
master and slave (the shoulder harness and terminal device for
body-powered devices) that provides inherent force feedback.
When Goertz went on to develop electromechanical teleoperators featuring both a motorized master and slave [27], [28],
he opened the possibility for directly evaluating the utility of
force feedback. The empirical evaluations that have followed
show that providing force feedback in teleoperation improves
task completion times [29] and task accuracy [30], [31].
If an electromechanical body-powered prosthesis existed that
featured a motorized master and slave, similar evaluations
could be undertaken to assess the utility of force feedback
in body-powered devices.
With this aim in mind, we have developed a custom bodypowered prosthesis that can be worn by non-amputees and
that features force feedback that can be turned on and off.
Our prosthesis is built on the concept of an electromechanical teleoperator with the master (a cable-driven exoskeleton)
worn on the left arm connected to the slave (a cable-driven
voluntary-closing terminal device) worn on the right arm
through a series of linear actuators and an interrupted Bowden
cable. The angular position of the elbow serves as the control
input to the terminal device, and forces measured during
grasping of the terminal device can be conditionally displayed
through the exoskeleton. In this study, we use our custom
prosthesis as an experimental control to evaluate the utility
of force feedback and vision in the functional performance of
a body-powered prosthesis. We ask participants to identify a
set of objects based on stiffness using the prosthesis in the
four conditions that result by selectively gating vision and
force feedback. We expect results similar to teleoperation—
improved performance with force feedback over vision alone.
II. M ETHODS
A. Participants
We tested N = 10 non-amputee participants (seven male,
three female; mean age = 24.3 ± 2.9 years). Prior to starting
the study, each participant was consented according to a
protocol approved by the University of Michigan Institutional
Review Board (IRB) and provided with an overview of the
study.
B. Experimental Apparatus
Our experimental apparatus consisted of two linear actuator
drives, a custom mock prosthesis, and a custom cable-driven
elbow brace. A Dell Precision T3500 Desktop computer with
a Sensoray 626 PCI data acquisition card was used for data
acquisition and control.
Both linear actuator drives featured a Maxon RE65 rotary
motor and a linear ballscrew with a 20 mm lead [see Fig. 1(a)].
Each motor was equipped with a rotary optical encoder (US
Digital EM1-1-1024) and driven with a current sourcing
amplifier (Advanced Motion Control 12A8). A 10-kg rated
beam load cell (Transducer Techniques LSP-10) was attached
to the ball nut of each ball screw through a 3D printed ABS
carriage. The carriage was attached to linear slides so that it
could move freely with the ball nut. Two limit switches (not
pictured) were placed along the length of the ballscrew to
limit the actuator’s range of motion. Each linear drive provided
pulling actuation for a Bowden cable. The cable housing was
secured at the end of the ballscrew to a mount, and the cable
was attached to the loadcell through a cable anchor.
The cable-driven exoskeleton consisted of two 3D printed
ABS halves (upper and lower) that were connected about two
coaxial rotational bearings on either side of the participant’s
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Fig. 1. Experimental apparatus components. A: Linear actuator drive featuring rotational motor, encoder, ballscrew, beam loadcell, loadcell carriage,
Bowden cable anchor and housing mount, and linear slide. In operation, the motor, ballscrew, and carriage tracked a desired position to either generate
no force on the cable or to track a setpoint pulling force on the cable. B: Cable-driven exoskeleton featuring an encoder and thermoplastic cuffs
with velcro straps, and anchor and mount for Bowden cable and housing. In operation, pulling on the cable would produce and extension moment
about the elbow. The exoskeleton is shown here on the right arm for illustrative purposes. C: Mock prosthesis featuring a thermoplastic shell with
accommodations for the fist of a non-amputee participant, a voluntary-closing terminal device, and anchor and mount points for a Bowden cable
and housing. To ensure a snug fit, participants were required to wear prosthetic socks. In operation, pulling on the cable closed the terminal device.
elbow [see Fig. 1(b)]. One of the axes was fixed to the
lower half of the exoskeleton, and a rotary optical encoder
(US Digital EM1-1-1250) was mounted to the axis to measure
angular position. Custom thermoplastic cuffs (in one of three
available sizes) were attached to each half and featured Velcro
straps and foam padding. The housing of the Bowden cable
attached to a housing mount on the upper half, and the cable
itself attached to the lower half through a cable anchor that
swiveled. The exoskeleton was fit to the left arm of a nonamputee participant with the axis of rotation of the elbow joint
aligned coaxially with the exoskeleton axis of rotation. Velcro
straps were used to secure the exoskeleton to the upper and
lower portion of the participant’s arm. In operation, pulling
on the cable caused the exoskeleton to produce an extension
moment about the elbow. This extension moment served as
force feedback.
The mock prosthesis [see Fig. 1(c)] consisted of a
thermoplastic shell mated with a Hosmer Quick Disconnect Wrist (USMC style) and voluntary-closing terminal
device (TRS Grip 2S), which was nominally held open by
an internal torsional spring. The prosthesis was designed to
mate to the right arm of a non-amputee participant. The
thermoplastic shell was fabricated by casting the forearm
and hand of a non-amputee individual with their hand in a
closed (fist) position. The cast was digitized using an Ohio
WillowWood Omega Tracer Scanner where the overall diameter of the model was increased by 15 mm to accommodate
larger sized forearms. The digitized model was fabricated on a
Milltronics 4-axis mill using an ISO technologies 4.0 density
foam blank as the carving medium. A 3/16 in AIN Plastic
co-poly thermoplastic sheet was then vacuum-formed over
the foam model to create the thermoplastic shell. Royal Knit
prosthetic socks were worn over the participant’s arm to create
a tight and comfortable fit of the thermoplastic shell. The
Bowden cable housing was attached to the housing mount,
and the cable was attached to the terminal device via the cable
anchor. In operation, pulling on the cable closed the terminal
device.
Together, the individual elements of the experimental apparatus created a body-powered prosthesis that could be used by
non-amputee participants. As shown schematically in Fig. 2(a),
one actuator is mechanically linked through a Bowden cable
to the cable-driven prosthesis (prosthesis actuator), and the
other is mechanically linked via a separate cable to the cabledriven exoskeleton (exoskeleton actuator). Angle θ E A is the
exoskeleton actuator angular position, θ P A is the prosthesis
actuator angular position, TE is the tension in the Bowden
cable that generates an extension moment about the exoskeleton axis of rotation, and TG is the tension in the Bowden cable
that generates terminal device prehension (TG is related to
the grip force through the mechanical advantage and torsional
spring of the terminal device). This body-powered prosthesis
differs from a traditional body-powered prosthesis in that the
participant’s left elbow (as opposed to a shoulder through a
shoulder harness) is used for control. In addition, haptic (force)
feedback can be removed, which is possible because the user
is connected to the prosthesis through the two actuators and a
computerized controller.
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Fig. 2. Custom body-powered prosthesis. A: Schematic of custom body-powered prosthesis for non-amputee participants. Exoskeleton is worn
on the left arm, and the mock prosthesis is worn on the right arm. θE is the exoskeleton angular position. θEA is the exoskeleton actuator angular
position. TE is the tension in the Bowden cable that generates an extension moment about the exoskeleton axis of rotation. TG is the tension in the
Bowden cable that generates terminal device prehension. B: Block diagrams of prosthesis actuator, and exoskeleton actuator with force feedback
“off” and “on.”
Both linear actuators were controlled through a
proportional-derivative controller [see Fig. 2(b)]. The
control law for the exoskeleton actuator u E A with force
feedback “off” (H = 0) and force feedback “on” (H = 1) is
u E A = (K p + K d s)[K E A θ E − θ E A ] + H [K F TG ]
(II.1)
where K p is the proportional gain, K d is the derivative
gain, K F is the feedback gain, and K E A is the exoskeleton
actuator gain. The values of K p , K d , and K F were manually
tuned during pilot tests to provide an acceptable level of
position tracking and discernible force feedback from the
device. In operation, K p = 2.0, K d = 0.06, and K F = 2.0.
TG was measured by the loadcell on the prosthesis actuator.
The exoskeleton actuator gain K E A scales the exoskeleton
position to that of the exoskeleton actuator and is determined
through a calibration routine described below.
The control law for the prosthesis actuator u P A is
u P A = (K p + K d s)[K P A θ E − θ P A ]
(II.2)
where K P A , the prosthesis actuator gain, scales the exoskeleton position to that of the prosthesis actuator and is determined
through a calibration routine described below.
When force feedback was turned “off,” the body-powered
device operated like a non force-reflecting position controlled
teleoperator. The position of the exoskeleton was mapped to
the position of the terminal device via the prosthesis actuator.
Any tension generated by the prosthesis actuator closing the
terminal device TG , however, was not displayed to the participant. The exoskeleton actuator tracked the position of the
exoskeleton to minimize the device impedance. When force
feedback was turned “on,” the body-powered device operated
like a force-reflecting position-force teleoperator. The angular
position of the exoskeleton was mapped to the position of the
terminal device via the prosthesis actuator and the tension TG
generated by the prosthesis actuator was displayed to the user
through the actuated exoskeleton as an extension moment.
The following calibration routine was used to scale the
range of motion of each actuator to the range of motion of
the participant’s arm. For the prosthesis actuator, the gain
K P A was tuned such that when the participant’s left arm
Fig. 3. Sample stiffness (force/displacement) profiles generated by the
(A) Prosthesis actuator and (B) exoskeleton actuator with force feedback
“off”, and by the (C) Prosthesis actuator and (D) exoskeleton actuator
with force feedback “on”. Blue dotted traces refer to the “hard” block.
Purple solid traces refer to the “medium” block. Brown dashed traces
refer to the “soft” block.
was fully extended, the terminal device was open and when
the arm was fully flexed, the terminal device was closed.
For the exoskeleton actuator, the gain K E A was tuned so
that the loadcell carriage (and cable) moved in-sync with the
participant’s left arm.
C. Stimuli
Our stimuli consisted of foam blocks (Temper Foam R-Lite
Foam Blocks) in three different stiffnesses: extra-soft, soft,
and medium. In the experiment they were referred to as “soft,”
“medium,” and “hard,” respectively. The blocks were covered
with black athletic socks to hide their unique colors.
D. Sample Apparatus Performance
With feedback “off,” the prosthesis actuator loadcell and
encoder measured the force/displacement relationship of each
block. As demonstrated by the sample traces in Fig. 3(a), three
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Fig. 4. Sample stiffness (force/displacement) profiles generated by
the exoskeleton actuator with force feedback “on” when the block was
(A) squeezed and (B) released. Blue dotted traces refer to the “hard”
block. Purple solid traces refer to the “medium” block. Brown dashed
traces refer to the “soft” block.
distinct stiffnesses were discernible by the prosthesis actuator’s
encoder and loadcell. These stiffnesses, however, were not
displayed to the exoskeleton [see Fig. 3(b)].
With feedback “on,” both the prosthesis actuator loadcell
and encoder as well as the exoskeleton actuator loadcell and
encoder capture the force/displacement relationship of the
blocks. The sample traces in Fig. 3(c) are somewhat similar to
the traces for the prosthesis actuator with no feedback with the
exception that the medium and hard blocks appear to excite
some resonant dynamics in the closed-loop system with our
PD controller that make the stiffness traces not as smooth.
For the exoskeleton actuator [see Fig. 3(d)], the traces fall
into three distinct groupings based on the stiffness of each
block. This is particularly true when the blocks are squeezed
[see Fig. 4(a)] as opposed to when the blocks are released
[see Fig. 4(b)].
The traces presented here highlight the hysteresis present
in the stiffness relationship of the foam blocks used in the
experiment. Still, the overall force/displacement profiles for
each of the three foam blocks are distinguishable visually
with feedback “off.” This holds true as well, albeit to a lesser
degree, with feedback “on,” where the force/displacement
profiles appears to be heavily influenced by the resonant
dynamics of our closed-loop system. Therefore, being able
to differentiate the force/displacement profiles visually would
suggest that they may also be distinguishable by feel when
presented through our device.
E. Setup and Training
Participants sat on a stool facing the table where the
experiment would take place. The appropriate size cuffs were
attached to the exoskeleton, and the exoskeleton was mated
to each participant’s left arm with the exoskeleton’s axis of
rotation in line with the participant’s elbow axis of rotation.
Additional padding was used to ensure the velcro straps did not
pinch the participant’s skin. The participants’ right arms were
donned with Royal Knit prosthetic socks, and their arms were
placed inside the custom prosthesis. Participants were then
instructed to make a loose fist with their right hand to ensure
the prosthesis stayed in place. The experimental apparatus was
then calibrated as described in Section II-B. Participants were
made aware of the fact that if they moved their arm too fast,
the motor would not be able to keep up, and they would feel
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the actuator’s impedance through the exoskeleton. Participants
were also told that the blocks were made of memory foam.
Prior to testing, participants were given an opportunity
to experience the four experimental conditions: visual+force
feedback, visual feedback alone, force feedback alone, and
no feedback. In each condition, they were allowed to feel a
sample block. This sample block was a foam block similar
to the stimuli blocks, except it had a higher stiffness than all
three stimuli blocks. This sample block was also covered in a
black athletic sock for consistency.
F. Protocol
Participants were not given an opportunity to feel the three
test blocks with their hands or through the device prior to
beginning the test. Participants were told that the goal of the
experiment was to accurately identify the blocks in the shortest
time possible.
The test consisted of 20 trials (five trials for each of the four
conditions). The trial order was randomized into five sets of
four, with each set containing a randomized order of the four
experimental conditions. In each trial, the experimenter randomly selected eight blocks from a group of 12 (four blocks of
each stiffness). The blocks were then presented one at a time to
participants. For each block presentation, participants started
from a rest position (terminal device resting on the edge of the
table). When the experimenter announced “begin,” participants
were instructed to explore the block through the prosthesis and
sort it in a corresponding bin (“soft,” “medium,” or “hard”).
The participant was instructed to approach the block from
the front, as opposed to the top, to avoid any stiffness cues
associated with displacing the block with respect to the table.
Participants were allowed to squeeze any portion of the block
through the prosthesis as many times as desired while the
block rested on the table in a specified location and could
request that the experimenter rotate the block. After picking
the block up, participants were not allowed to place it back
down on the table to squeeze it again. Participants were also
not allowed to re-sort the blocks once they were placed in the
bins.
The no vision trials were treated differently. The prosthesis was held in a specified location, and the terminal
device was shielded from the participant’s view by a posterboard curtain. When the experimenter announced “begin,”
participants were allowed to squeeze the foam block while
it was held by the experimenter, and then verbalize their
choice (hard/medium/soft) as to which block it was. The experimenter would then place the object in the corresponding bin
on their behalf. After verbalizing their bin choice, participants
were not allowed to change.
After the participants sorted all eight blocks, the experimenter would verbally indicate how many blocks of each
stiffness (hard/medium/soft) occupied each bin as a means
of correct answer feedback. This was also recorded by
the experimenter. Short breaks (∼2 min) were taken between
trials, and participants were made aware of the condition
before starting the trial. Noise-canceling headphones were not
used so that verbal instructions could be understood clearly.
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The auditory cues provided by the actuators were thought
to be consistent with the auditory cues available in current
prostheses, especially myoelectric prostheses.
G. Metrics and Data Analysis
The kinematic, kinetic, and performance data were recorded
to disk with a 1 kHz sampling rate. Our performance metrics
were the object identification accuracy (%), object identification completion time (s), and the number of times the object
was probed.
Object identification accuracy was computed as an overall
accuracy for each group of eight blocks (i.e., the percentage
of blocks in the correct bin).
Object identification completion time was measured as the
time in milliseconds from the time the tester announced
“begin” to the time the participant placed the block in a
bin (vision trials) or verbalized their bin choice (no vision
trials). Unlike the object identification accuaracy metric,
the completion time was recorded for each block presentation
in the group of eight.
To measure the number of times the object was probed
(# of Probes), two threshold values were set at
80 mm and 120 mm on the gripper actuator, whose
entire range was ∼200 mm. These threshold values served
to capture whether the participant passed the halfway point
in either direction when probing the block. Passing both
thresholds in one direction as the terminal device closed
accumulated a 0.5 (half) probe. Subsequently, passing both
thresholds in the opposite direction as the terminal device
opened accumulated another 0.5 probe. Passing only one
threshold in either direction accumulated 0.25 probe. As with
object identification completion time, the number-of-probes
was recorded for each block presentation.
1) Post-Test Survey: Our post-test survey represents a
quantitative and qualitative self-assessment of each participant’s subjective assessment of the four conditions, as well
as strategies employed for each. The survey contained a mix
of 12 Likert, ranking, and short-answer questions. Only the
Likert and ranking questions will be discussed further.
Questions 2–9 consisted of two questions for each of the
four feedback conditions. The first question asked participants to rank on a 3-point scale how easy/difficult the given
condition was, and the second question asked participants
what strategy (if any) they employed in the given feedback
condition. Question 10 asked participants to rank each of the
four conditions in order of how distinguishable (First-“most
distinguishable” and Fourth- “least distinguishable”) the foam
blocks were with that particular condition. Question 11 asked
participants to rank the four conditions in order of preference.
We acknowledge that there will likely be a certain level of
correlation between participants’ perceived accuracy (based on
the correct answer feedback) in a certain condition and their
corresponding preference for that condition.
H. Statistical Analyses
All statistical analyses were performed using SPSS (v.21).
Linear models were used to assess the effect of condition.
For identification accuracy, a univariate general linear
model (GLM) was used with condition as a fixed effect, and
the order in which each trial was presented as a covariate
to account for potential learning effects. Linear Mixed models (LMM) were used for the object identification completion
time and the number-of-probes because of the strong amount
of within-subject correlation. Within the model, participants
were a random effect, condition was a fixed effect, and the
order in which each block was presented as a covariate to
account for any learning effects. The first block presentation
for each condition was considered a baseline and is, therefore,
not included in the completion time or number-of-probes
model. In addition, completion time results were not compared
between the two conditions with vision, and the two conditions without vision due to differences in the experimental
protocol. Bonferroni adjustments were applied to the estimated
means to control for Type I errors in both the GLM and LMM.
A significance level of 0.05 was used as the threshold for
significance for all analyses, and all reported p-values have
been adjusted according to the Bonferroni correction.
III. R ESULTS
We found one participant to be an outlier from the remaining
nine participants. Overall, this participant appeared to struggle
with the operation of the device and kept expressing confusion
as to what cues were important. The participant mentioned
feeling “drowsy” on several occasions and did not seem to
be able to concentrate, but this participant never requested
to withdraw from the study. Since the experiment posed no
medical risk to the participant, this participant was not asked
to withdraw by the study coordinator. When plotting this participant’s results, we found this participant had a higher object
identification accuracy with the no feedback condition than the
force feedback condition and a higher identification accuracy
with the visual feedback condition than the visual+force
feedback condition. These trends were inconsistent with the
other nine participants. In addition, after testing this participant
informed the experimenter that they had not slept the night
before and had consumed a significant amount of caffeine. Our
analysis will, therefore, focus on the results of our remaining
nine participants. For the purposes of a sensitivity assessment,
we will also present our results with the outlier participant
included.
A. Foam Block Identification Accuracy
Participants were able to identify the foam blocks more
accurately in the trials featuring force feedback. A bar
plot of the model based means of identification accuracy
for the nine non-outlier participants is shown in Fig. 5(a).
Results of our univariate general linear model for the nine
non-outlier participants indicated significant main effects of
intercept (F(1, 175) = 335.54, MSE = 9.29, p < 0.001)
and feedback condition (F(3, 175) = 41.59, MSE = 1.15,
p < .001). The order in which each trial was presented
(the covariate in the model) did not produce a significant
effect (F(1, 175) = 1.45, MSE = 0.04, p = 0.230),
indicating no linear impact of trial order on accuracy,
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BROWN et al.: EMPIRICAL EVALUATION OF FORCE FEEDBACK IN BODY-POWERED PROSTHESES
221
intercept (F(1, 195) = 334.18, MSE = 10.4, p < 0.001),
and feedback condition (F(3, 195) = 32.87, MSE = 1.02,
p < 0.001). The covariate, trial order, did not produce a
significant fixed effect (F(1, 195) = 0.237, MSE = 0.01,
p = 0.627). The significant pairwise comparisons include a
higher identification accuracy for the visual+force feedback
condition (M = 65.0%, SE = 2.5%) than the visual feedback
condition (M = 44.2%, SE = 2.5%) (β = 20.8%, SE = 3.5%,
p < 0.001), the force feedback condition (M = 53.5%,
SE = 2.5%) (β = 11.5%, SE = 3.5%, p = 0.008), or the no
feedback condition (M = 31.2%, SE = 2.5%) (β = 33.8%,
SE = 3.5%, p < 0.001). There was a higher identification
accuracy for the force feedback condition than the no feedback
condition (β = 22.3%, SE = 2.5%, p < 0.001). There was
also a higher identification accuracy for the visual feedback
condition than the no feedback condition (β = 13.0%,
SE = 3.5%, p = 0.002). All other comparisons were not
significant.
B. Foam Block Identification Completion Time
Fig. 5. Experimental Results. A: Model based means (adjusted for trial
order) of identification accuracy for all nine non-outlier participants in
all five trials of the four conditions. B: Model based means (adjusted
for block presentation order) of identification completion time for all
nine non-outlier participants in all five trials of the visual feedback and
visual+force feedback conditions. Note that the first object exploration
for each condition is excluded. C: Model based means (adjusted for
block presentation order) of identification completion time for all nine nonoutlier participants in all five trials of the no feedback and force feedback
conditions. Note that the first object exploration for each condition is
excluded. D: Model based means (adjusted for block presentation order)
of number of probes for all nine non-outlier participants in all five trials of
the four conditions. Note that the first object exploration for each condition
is excluded. Error bars represent 1 standard error.
thereby suggesting a weak learning effect. The significant
pairwise comparisons included a higher identification accuracy for the visual+force feedback condition (M = 68.1%,
SE = 2.5%) than the visual feedback condition (M = 44.4%,
SE = 2.5%) (β = 23.7%, SE = 3.5%, p < 0.001),
the force feedback condition (M = 56.4%, SE = 2.5%)
(β = 11.6%, SE = 3.5%, p = 0.007), or the no feedback
condition (M = 30.8%, SE = 2.5%) (β = 37.3%, SE = 3.5%,
p < 0.001). There was a higher identification accuracy for the
force feedback condition than the visual feedback condition
(β = 12.0%, SE = 3.5%, p = 0.005), or the no feedback
condition (β = 25.6%, SE = 3.5%, p < 0.001). There was
also a higher identification accuracy for the visual feedback
condition than the no feedback condition (β = 13.6%,
SE = 3.5%, p = 0.001). All other comparisons were not
significant.
Results of our univariate general linear model including
our outlier participant indicated significant main effects of
Overall, the conditions had little to no effect on the duration
of time needed to identify the blocks. A bar plot of the
model based means of identification completion time for the
nine non-outlier participants is shown in Fig. 5(B) and (C).
Results of the linear mixed model for the nine non-outlier
participants in the two conditions featuring vision indicated
significant fixed effects of intercept (F(1, 8.75) = 140.64,
p < 0.001) and foam block presentation order (F(1, 666.11) =
102.97, p < 0.001), indicating a linear impact of foam block
presentation order on completion time, thereby suggesting
a learning effect was present throughout the experiment.
In particular, trial duration decreased with increasing object
presentation. There was no significant effect of feedback
condition (F(1, 666.04) = 1.03, p = 0.311). Results of the
linear mixed model for the nine non-outlier participants in
the two conditions without vision indicated significant fixed
effects of intercept (F(1, 8.49) = 61.28, p < 0.001), foam
block presentation order (F(1, 680.06) = 106.9, p < 0.001),
and feedback condition (F(1, 680.02) = 7.34, p = 0.007).
In particular, the force feedback condition (M = 6.05 s,
SE = 0.95 s) resulted in a significantly longer completion time
than the no feedback condition (M = 5.57 s, SE = 0.95 s)
(β = 0.48 s, SE = 0.18 s, p = 0.007). All other comparisons
were not significant.
Results of the linear mixed model for the vision trials
including the outlier participant indicated significant fixed
effects of intercept (F(1, 9.96) = 169.01, p < 0.001)
and foam block presentation order (F(1, 740.15) = 95.86,
p < 0.001). There was no significant fixed effect of feedback
condition (F(1, 740.05) = 1.55, p = 0.214). Results of the
linear mixed model for the no vision trials including the
outlier participant indicated significant fixed effects of intercept (F(1, 9.66) = 69.97, p < 0.001) and foam block presentation order (F(1, 755.1) = 70.72, p < 0.001). There were no
significant fixed effects of feedback condition (F(1, 755.03) =
2.58, p = 0.108).
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TABLE I
P OST-T EST S URVEY R ESULTS (# R ESPONSES )
C. # of Probes
The manner in which participants explored the foam blocks
depended heavily on the availability of visual and force
feedback. In particular, participants probed the foam blocks
more in the trials featuring only visual feedback. A bar plot
of the model based means of the number of probes for the nonoutlier participants is shown in Fig. 5(d). Results of the linear
mixed model for the nine non-outlier participants indicated
significant fixed effects of intercept (F(1, 8.21) = 39.77,
p < 0.001), foam block presentation order (F(1, 1355.04) =
12.63, p < 0.001), and feedback condition (F(3, 1355.02) =
5.56, p = 0.001). The significant linear impact of foam
block presentation order on the number of probes suggests
a learning effect was present. In particular, the number of
probes decreases with increasing foam block presentation. The
significant pairwise comparisons included a higher number
of probes for the visual feedback condition (M = 1.55,
SE = 0.25) than the force feedback condition (M = 1.41,
SE = 0.25) (β = 0.14, SE = 0.4, p = 0.005) and the
no feedback condition (M = 1.41, SE = 0.25) (β = 0.15,
SE = 0.4, p = 0.003). All other comparisons were not
significant.
Results of the linear mixed model including the outlier participant indicated significant fixed effects of intercept (F(1, 9.26) = 45.14, p < 0.001), foam block presentation
order (F(1, 1505.05) = 5.96, p = 0.015), and feedback
condition (F(3, 1505.02) = 5.61, p = 0.001). The significant
pairwise comparisons included a higher number of probes
for the visual feedback condition (M = 1.53, SE = 0.22)
than the force feedback condition (M = 1.37, SE = 0.22)
(β = 0.16, SE = 0.4, p < 0.001), and the no feedback
condition (M = 1.42, SE = 0.22) (β = 0.12, SE = 0.4,
p = 0.024). All other comparisons were not significant.
1) Survey Results: From a qualitative perspective,
participants preferred the conditions with force feedback
(F and V+F) over the conditions lacking force feedback (V and N) (see Table I). All participants thought
the no feedback condition was difficult (Question 2). The
majority of participants felt neutral about the force feedback
condition (Question 4). The majority of participants thought
the visual feedback condition was difficult (Question 6).
A slight majority of participants thought the visual+force
feedback condition was easy; the remaining minority felt neutral (Question 8). In terms of distinguishing the foam blocks
in each condition, participants thought the blocks were most
distinguishable with visual+force feedback, followed by force
feedback, then by visual feedback, and least distinguishable
with no feedback (Question 10). Overall, the majority of our
participants ranked in order of preference the visual+force
feedback condition first, the force feedback condition second,
the visual feedback condition third, and the no feedback
condition fourth.
IV. D ISCUSSION
In this study, we have quantified the value of force feedback
in a body-powered prosthesis and found that, even without
vision, it has the potential to provide greater utility to an
amputee than visual feedback alone. We arrived at this conclusion through an experiment involving a custom body-powered
prosthesis that is capable of being worn by non-amputee participants and features force feedback that can be conditionally
removed. Our custom prosthesis, which was modeled after
an electromechanical teleoperator, acts to provide its own
experimental control, in which the benefits of force feedback
can be parsed without the confounds present in any comparison between body-powered and myoelectric prostheses. While
the findings presented here are applicable only to the task
of differentiating object stiffness, the principles underlying
the ability to recognize an object’s unique force/displacement
relationship carry over to many other manual tasks and suggest
potential utility in many areas of prosthetic use.
In four conditions, we evaluated our participants’ ability
to discriminate objects (foam blocks) based on their stiffness (with visual+force feedback, force feedback, visual feedback, and no feedback). Vision was controlled with a simple
curtain. Force feedback, however, was controlled through the
device itself. Rather than using a shoulder harness like a
traditional trans-radial body-powered prostheses, our device
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BROWN et al.: EMPIRICAL EVALUATION OF FORCE FEEDBACK IN BODY-POWERED PROSTHESES
coupled the terminal device of the prosthesis to a cabledriven exoskeleton worn about the elbow. These exoskeletons
only allow uniaxial loading about the joint and have been
a topic of research interest in our group for quite some
time [32]–[34]. In addition, these exoskeletons allow for easy
position tracking about the joint, which was essential given our
particular control paradigm (see θ E A in (II.1)). The manner
in which our device operates when feedback is “on” is still
consonant with traditional body-powered devices in that our
device electromechanically links the action at the elbow joint
to the action of the terminal device through a Bowden cable.
Considering our nine, non-outlier participants, we found
the accuracy with which they identified the foam blocks was
best when both visual and force feedback were available,
followed by force feedback only, then by visual feedback only,
and finally no feedback. That participants were least accurate in the no feedback condition is not surprising. Without
visual or haptic cues to inform their assessment of foam
block stiffness, participants were forced to guess, which is
confirmed by an identification accuracy close to that expected
for guessing. In addition, compared to the force feedback
condition, participants spent less time exploring the foam
blocks and making a decision. This suggests that they were
quite aware that increased time spent in the no feedback
condition yielded no increase in identification accuracy. It is
also worth noting that there were no significant differences in
the number of probes between the no feedback condition and
the force feedback condition. Apparently, participants simply
probed at a faster rate.
For the two conditions with vision, the accuracy/time
trade-off was approached differently. In particular, there were
no significant differences in identification time or the number
of probes between the visual+force feedback condition and
the visual feedback condition. Therefore, it appears that participants gave the same amount of effort in each condition,
and the differences in identification accuracy are due to the
availability of force feedback. Although our experimental protocol precluded a comparison of identification time between
the conditions featuring visual feedback and those that do not,
we did find that participants probed more in the visual feedback condition than either the force feedback condition or the
no feedback condition. This suggests that the visual estimate
of the block stiffness required more effort.
By drawing inspiration for our custom prosthesis from
electromechanical teleoperators, we were able to evaluate
the utility of force feedback in a body-powered prosthesis in a manner consistent with the teleoperator literature.
Our visual+force feedback condition can be likened to an
electromechanical force-reflecting teleoperator, and our visual
feedback condition can be likened to a non force-reflecting
teleoperator. As with studies on the utility of force-reflection in
teleoperation, we found that force feedback in body-powered
prostheses improves performance over vision alone in terms
of reduced errors (incorrect object identification) [30], [31].
Unlike the teleoperator literature [29], we did not find any
differences in completion time when force feedback and visual
feedback were available compared to visual feedback only.
It appears then that visual feedback contributes mostly to
223
identification time when it is available. A comparison to
the force feedback only condition would verify whether this
is true. Unfortunately, our protocol does not support that
comparison. That participants used more probes in the visual
feedback condition compared to the force feedback condition
suggests that there might in fact have existed differences in
completion time, if they were measured.
The decline in identification accuracy with vision alone
is consistent with findings on the visual estimation of stiffness [35]. Even though visual estimation can be performed,
the measurement is highly variable, and depends heavily upon
the ability to discriminate object deformations under common
forcing conditions. This could perhaps explain why the blocks
were probed more often in the visual feedback condition
than the force feedback condition. Note here that there were
a lot of single-probe occurrences for each condition, and
the differences observed in the number of probes represent
differences in the number of multi-probe occurrences for
a given condition. Adding force feedback alongside visual
feedback appears to reduce the need for multiple probes,
which is why the visual+force condition did not differ from
any of the other conditions in terms of times the object was
probed.
Still, in even the most accurate condition, the visual+force
condition, participants were only able to consistently discriminate two of the three blocks at an average completion time
of 7 s. Overall, these low accuracies and long completion times
point to a few areas in our study that could be improved upon.
First, our blocks were made of memory foam and featured
hysteresis in their stiffness relationship that potentially made
stiffness estimation more difficult. In addition, the blocks had
unique color identifiers that had to be masked with black
socks. These socks also had the unfortunate consequence of
potentially masking some of the visual and haptic cues needed
for stiffness estimation. Second, our device featured dynamic
behavior that potentially affected the stiffness relationship felt
through the force feedback display. While the choice of device
components and controller allowed participants to perform
the experiment, they were not completely optimized, thus
resulting in the added unwanted dynamics in the closed-loop
system (see Fig. 3).
Improving upon the limitations of our apparatus, in addition
to increasing exposure and practice by our participants, would
most likely result in improved performance. This improved
performance would inevitably be realized in each of the conditions, except perhaps the no feedback condition. What would
remain unchanged, however, is the trend of improved accuracy
with force feedback over vision alone, and the potential for less
reliance on vision in a prosthetics application. Although many
factors such as cost, the amputation cause, and the aesthetics of
the device affect the decision as to which prosthesis technology
to choose for a given amputee, device function still ranks as a
top priority [2]; and many amputees desire increased feedback
and less reliance on vision [3], [36].
It is worth noting that the current findings are based
on the use of a voluntary-closing terminal device. While
Haverkate et al. found that participants performed better with
a voluntary-opening terminal device than a voluntary-closing
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IEEE TRANSACTIONS ON NEURAL SYSTEMS AND REHABILITATION ENGINEERING, VOL. 25, NO. 3, MARCH 2017
terminal device in a box and blocks test and nine-hole peg
test [37], the voluntary-closing device has specific benefits
in terms of stiffness perception. In particular, this type of
end-effector gives participants direct control over their prehension force. With a voluntary-opening device, participants
are still able to modulate the prehension force, but it requires
a good estimation of the preload generated by the rubber
bands or springs producing the prehension. Another benefit of
the voluntary-closing device is that it allowed for good visual
field of view of the object being grasped.
Our unique experimental control and the use of nonamputee participants also allows for interpretation of the
results in the context of trends underlying past and
present observations on upper-limb prosthetics. By design,
the visual+force feedback condition resembles the operation
of a standard body-powered prosthesis. The visual feedback
condition, on the other hand, resembles the operation of
a standard myoelectric prosthesis in that vision serves as
the primary sensory feedback modality. The significantly
improved identification accuracy with force feedback over
vision gives credence to the widespread use of body-powered
devices today that remain relatively unchanged in design
since their development over 60 years ago [1]. Amputees
want satisfactory function out of their prostheses, and the
lack of sensory feedback is one area of dissatisfaction with
myoelectric devices [2]. The differences in performance presented here help quantify the functional underpinnings of
this dissatisfaction. The qualitative results tell a similar story
with the majority of participants finding the visual feedback
condition “Difficult” and “Third” both in terms of preference
and ability to distinguish the blocks; the visual+force feedback
condition was ranked “Easy” and “First,” respectively.
When visual feedback is removed, as was the case for the
force feedback and no feedback conditions, our findings allude
to the operation of body-powered and myoelectric devices in
the absence of vision. For an amputee, operation of the prosthesis in the absence of vision can be a common occurrence.
This happens for instance when operating the prosthesis in a
dimly lit or dark room, or in an environment where vision
is obscured altogether, such as a jacket pocket. The results,
however, are similar to the case where vision is available:
identification accuracy is significantly improved when force
feedback is present. Although identification completion time
is smaller with no feedback, the shorter duration can be
attributed to a strategy based largely on guessing. This is
supported by the qualitative findings that all participants found
the no feedback condition “difficult” and “Fourth” both in
terms of preference and ability to distinguish the blocks; the
force feedback condition was ranked “Neutral” and “Second,”
respectively.
Together, these findings provide evidence supporting the
preference of many amputees to use a body-powered prostheses, and provide a possible explanation as to why many
amputees are dissatisfied with the lack of haptic feedback
in their myoelectric prostheses. Still, the future of upperlimb prosthetics seems to favor myoelectric over bodypowered devices. Indeed, much of the current work in the
field is focused on improved mechanical design [4]–[6],
advanced control [7], [8] and haptic display for myoelectric
devices [11]–[17]. Unfortunately, these efforts fail to capture
the simple but effective essence of the Bowden cable in bodypowered prostheses. By allowing a proprioceptive sense of
the terminal device, as well as exteroceptive feedback that is
displayed to the same body site used to generate control for
the terminal device, the Bowden cable couples the dynamics of
the amputee’s body to the dynamics of the world encountered
in the grasp of the terminal device. It may prove beneficial
to shift research focus to myoelectric controllers that give
amputees direct control over terminal device aperture and
to haptic displays that feature force feedback in a manner
that supports coupled dynamics between body and world.
This concept was first introduced by Simpson as extended
physiological proprioception (EPP) over 30 years ago [21]
and was briefly investigated by others [22]–[24]. We have
also begun to explore these concepts [25], [32]–[34] and feel
that a myoelectric prosthesis that features the principles of
EPP would undoubtedly move closer to externally powered
prostheses that are capable of being embodied by an amputee.
Our hope is that the findings presented in this study will lead
to a revival of focus on the benefits of EPP as it pertains to
externally powered prostheses.
In addition to the previously mentioned limitations of our
current study, there are a few limitations that should be
addressed in future investigations. First, we only tested nonamputee participants, and we did so with a small sample size
that was not determined a priori through a power analysis.
While we are encouraged by the fact that we still observed
significant differences in performance between the conditions,
the sensitivity analysis demonstrated how susceptible our
findings are to the amount of rest and alertness in one of our
participants. At the same time, our findings need to be verified
in an amputee population before their real clinical impact can
be realized. Second, while our device functioned along the
same principles as a body-powered prosthesis, the use of the
contralateral arm limits its use outside of the simple stiffness
identification task presented here. Therefore, alternative control schemes, such as bi-scapular abduction, need to be considered when attempting more complicated bimanual tasks such
as activities of daily living. Third, because each group of eight
objects presented for a given feedback condition represented
a random sample from the 12 available blocks (four from
each stiffness), our protocol does not allow for a systematic
analysis of which blocks were more easily discriminated.
This random presentation of eight blocks also precluded an
explicit investigation of the learning effects in each condition.
Finally, our protocol did not allow for a comparison between
the two conditions featuring visual feedback, and the two
conditions without visual feedback in terms of completion
time. At the same time, studying the effects of haptic and
visual feedback on both accuracy and time may have presented
conflicting goals to our participants (although it seems that our
participants on average chose to focus on accuracy). Despite
all of these limitations, however, we feel that in this small
exploratory study we have empirically validated the utility of
force feedback in an upper-limb prosthesis, a result that is
useful to the larger prosthetics research community.
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BROWN et al.: EMPIRICAL EVALUATION OF FORCE FEEDBACK IN BODY-POWERED PROSTHESES
V. C ONCLUSION AND F UTURE W ORK
In this study, we have effectively made non-amputee participants trans-radial amputees using a custom body-powered
prosthesis. Since our participants had no exposure to a bodypowered prosthesis, we were able to see the effect of both
vision and force feedback in a prosthesis without the influence
of prior experience. Our findings help explain on a functional
level why body-powered prostheses are still in widespread
use today. At the same time, our findings are supported by
similar observations on teleoperation. It would, therefore, seem
appropriate that myoelectric prostheses would benefit from
the addition of haptic display mechanisms that feature force
feedback. While the non-trivial nature of this task cannot
be ignored (myoelectric prostheses rely on control from the
muscle’s electrical activity, not mechanical limb movement),
the impact of these findings and their consistency with those
in teleoperation suggest this research aim is a worthwhile
undertaking.
While the present study has provided an empirical foundation of the benefits of force feedback in body-powered
devices, it has also presented a unique experimental platform
that can be used for future investigations. In addition to more
thoroughly investigating the learning effects in each of the
four conditions presented here, we envision many follow-on
studies that investigate the utility of other types of haptic feedback (such as vibrotactile feedback), other types of terminal
devices (such as voluntary-opening), other types of tasks, and
other control schemes (such as myoelectric control). We also
envision other studies comparing performance with our mock
prosthesis with improved dynamic response to performance
with the intact hand, comparing performance differences
between amputee and non-amputee participants, as well as
comparing our visual+force and visual feedback conditions to
body-powered and myoelectric prostheses, respectively. These
latter comparison will further assess the clinical relevance of
our device as an experimental platform. All of these studies
should be guided by the outcome of a power analysis to ensure
a sufficient sample size, and the potential confound of the time
versus accuracy tradeoff should be avoided where possible.
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Oct. 2014.
Jeremy D. Brown (M’11) received the
Ph.D. degree in mechanical engineering from
the University of Michigan, Ann Arbor, MI, USA,
in 2014. He is now a Postdoctoral Research
Fellow in the Department of Mechanical
Engineering and Applied Mechanics and the
Haptics Group in the GRASP Lab at the
University of Pennsylvania, Philadelphia, PA,
USA.
His research focuses on the interface between
humans and robots with a specific focus on
medical applications and haptic feedback.
Dr. Brown was honored to receive several awards including the
National Science Foundation (NSF) Graduate Research Fellowship,
the Best Student Paper award from the IEEE Haptics Symposium
in 2012, and the Penn Postdoctoral Fellowship for Academic Diversity.
Mackenzie K. Shelley will receive the
B.S. degree in computer science from the
University of Michigan, Ann Arbor, MI, USA,
in 2016. Her undergraduate research experience
has been centered around medical applications
ranging from haptic feedback in prosthetic
devices to automated organ segmentation in CT
scans.
She has previously worked for Google, Square,
and Airbnb. Upon graduation, she will return to
Square as a Software Engineer on risk systems.
Alicia J. Davis has been a clinical prosthetist
and orthotist since 1991 and is currently the
Residency Program Director at the University of
Michigan Orthotic and Prosthetic Center. She
taught at Eastern Michigan University’s Master
of Prosthetics and Orthotics Program in upper
extremity prosthetics. Her research interests are
focused on upper extremity prosthetics.
Dr. Davis serves on the Board of Directors
of the American Academy of Orthotists and
Prosthetists.
Timothy S. Kunz completed his prosthetic residency training at the University of Michigan
Health System in 2014 and orthotic residency
training from the University of Oklahoma Health
Sciences Center in 2015.
He is now a prosthetic and orthotic clinician at
Kootenai Prosthetics and Orthotics Services in
Post Falls, ID, USA.
Duane Gardner received the B.S. degree in
mechanical engineering from the University of
Michigan, Ann Arbor, MI, USA, in 2014.
As an undergraduate, he served as a research
assistant focusing on the incorporation of feedback into prosthetic devices. He is currently an
engineer at the Boeing Company.
R. Brent Gillespie (M’97) received the
B.S. degree in mechanical engineering from
the University of California, Davis, CA, USA,
in 1986, the M.S. degree in piano performance
from the San Francisco Conservatory of Music,
San Francisco, CA, USA, in 1989, and the M.S.
and Ph.D. degrees in mechanical engineering
from Stanford University, Stanford, CA, USA,
in 1992 and 1996, respectively.
He is currently with the Department of
Mechanical Engineering, University of Michigan,
Ann Arbor, USA. His current research interests include haptic interface
and teleoperator control, human motor control, and robot-assisted
rehabilitation after neurological injury.
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