Transducers for spatial plantar force measurements have numerous applications in biomechanics, rehabilitation medicine, and gait analysis. In this work, the design of a novel, tri-axial transducer for plantar force measurements was presented. The proposed design could resolve both the normal and the shear forces applied at the foot's sole. The novelty of the design consisted in using a rotating bump to translate the external loads into axial compressive forces which could be measured effectively by conventional pressure sensors. For the prototype presented, multilayer polydimethylsiloxane (PDMS) thin-film capacitive stacks were manufactured and used as sensing units, although in principle the design could be extended to various types of sensors. A quasi-static analytic solution to describe the behavior of the transducer was also derived and used to optimize the design. To characterize the performance of the transducer, a 3 cm diameter, 1 cm tall prototype was manufactured and tested under various combination of shear and normal loading scenarios. The tests confirmed the ability of the transducer to generate strong capacitive signals and measure both the magnitude and direction of the normal and shear loads in the dynamic range of interest.

References

1.
Rajala
,
S.
, and
Lekkala
,
J.
,
2014
, “
Plantar Shear Stress Measurements—A Review
,”
Clin. Biomech.
,
29
(
5
), pp.
475
483
.
2.
Yavuz
,
M.
,
2014
, “
Plantar Shear Stress Distributions in Diabetic Patients With and Without Neuropathy
,”
Clin. Biomech.
,
29
(
2
), pp.
223
229
.
3.
Hosein
,
R.
, and
Lord
,
M.
,
2000
, “
A Study of In-Shoe Plantar Shear in Normals
,”
Clin. Biomech.
,
15
(
1
), pp.
46
53
.
4.
Yavuz
,
M.
,
Erdemir
,
A.
,
Botek
,
G.
,
Hirschman
,
G. B.
,
Bardsley
,
L.
, and
Davis
,
B. L.
,
2007
, “
Peak Plantar Pressure and Shear Locations Relevance to Diabetic Patients
,”
Diabetes Care
,
30
(
10
), pp.
2643
2645
.
5.
Yavuz
,
M.
,
Master
,
H.
,
Garrett
,
A.
,
Lavery
,
L. A.
, and
Adams
,
L. S.
,
2015
, “
Peak Plantar Shear and Pressure and Foot Ulcer Locations: A Call to Revisit Ulceration Pathomechanics
,”
Diabetes Care
,
38
(
11
), pp.
e184
e185
.
6.
Wilkins
,
R. A.
,
Siddle
,
H. J.
,
Redmond
,
A. C.
, and
Helliwell
,
P. S.
,
2016
, “
Plantar Forefoot Pressures in Psoriatic Arthritis-Related Dactylitis: An Exploratory Study
,”
Clin. Rheumatol.
,
35
(
9
), pp.
2333
2338
.
7.
Pai
,
S.
, and
Ledoux
,
W. R.
,
2012
, “
The Shear Mechanical Properties of Diabetic and Non-Diabetic Plantar Soft Tissue
,”
J. Biomech.
,
45
(
2
), pp.
364
370
.
8.
Wertsch
,
J. J.
,
Webster
,
J. G.
, and
Tompkins
,
W. J.
,
1992
, “
A Portable Insole Plantar Pressure Measurement System
,”
J. Rehabil. Res. Dev.
,
29
(
1
), pp.
13
18
.
9.
Heywood
,
E. J.
,
Jeutter
,
D. C.
, and
Harris
,
G. F.
,
2004
, “
Tri-Axial Plantar Pressure Sensor: Design, Calibration and Characterization
,” 26th Annual International Conference of the IEEE in Engineering in Medicine and Biology Society (
IEMBS'04
),
San Francisco, CA
, Sept. 1–5, pp.
2010
2013
.
10.
Dobrzynska
,
J. A.
, and
Gijs
,
M. A. M.
,
2012
, “
Polymer-Based Flexible Capacitive Sensor for Three-Axial Force Measurements
,”
J. Micromech. Microeng.
,
23
(
1
), p.
015009
.
11.
Lee
,
H.-K.
,
Chung
,
J.
,
Chang
,
S.-I.
, and
Yoon
,
E.
,
2008
, “
Normal and Shear Force Measurement Using a Flexible Polymer Tactile Sensor With Embedded Multiple Capacitors
,”
J. Microelectromech. Syst.
,
17
(
4
), pp.
934
942
.
12.
Roberts
,
P.
,
Damian
,
D. D.
,
Shan
,
W.
,
Lu
,
T.
, and
Majidi
,
C.
,
2013
, “
Soft-Matter Capacitive Sensor for Measuring Shear and Pressure Deformation
,” IEEE International Conference on Robotics and Automation (
ICRA
), Karlsruhe, Germany, May 6–10, pp.
3529
3534
.
13.
Huang
,
Y.
,
Yuan
,
H.
,
Kan
,
W.
,
Guo
,
X.
,
Liu
,
C.
, and
Liu
,
P.
,
2017
, “
A Flexible Three-Axial Capacitive Tactile Sensor With Multilayered Dielectric for Artificial Skin Applications
,”
Microsyst. Technol.
,
23
(
6
), pp.
1847
1852
.
14.
Binyao
,
M.
,
Xuewen
,
J.
,
Feirong
,
Z.
,
Zhongzhui
,
Y.
,
Yutong
,
X.
, and
Qiang
,
R.
,
2002
, “
Research on the Human Foot Pressure Distribution of Walking and Standing
,”
Orthop. J. China
,
10
(
12
), pp.
1211
1213
.http://caod.oriprobe.com/articles/5384209/Research_on_the_Human_Foot_Pressure_Distribution_of_Walking_and_Standi.htm
15.
Sanders
,
J. E.
,
Zachariah
,
S. G.
,
Jacobsen
,
A. K.
, and
Fergason
,
J. R.
,
2005
, “
Changes in Interface Pressures and Shear Stresses Over Time on Trans-Tibial Amputee Subjects Ambulating With Prosthetic Limbs: Comparison of Diurnal and Six-Month Differences
,”
J. Biomech.
,
38
(
8
), pp.
1566
1573
.
16.
Yavuz
,
M.
,
Botek
,
G.
, and
Davis
,
B. L.
,
2007
, “
Plantar Shear Stress Distributions: Comparing Actual and Predicted Frictional Forces at the Foot–Ground Interface
,”
J. Biomech.
,
40
(
13
), pp.
3045
3049
.
17.
Tappin
,
J. W.
, and
Robertson
,
K. P.
,
1991
, “
Study of the Relative Timing of Shear Forces on the Sole of the Forefoot During Walking
,”
J. Biomed. Eng.
,
13
(
1
), pp.
39
42
.
18.
Cho
,
S. H.
,
Park
,
J. M.
, and
Kwon
,
O. Y.
,
2004
, “
Gender Differences in Three Dimensional Gait Analysis Data From 98 Healthy Korean Adults
,”
Clin. Biomech.
,
19
(
2
), pp.
145
152
.
19.
Urry
,
S.
,
1999
, “
Plantar Pressure-Measurement Sensors
,”
Meas. Sci. Technol.
,
10
(
1
), pp.
R16
R32
.
20.
Félix
,
A. S. C.
,
Santiago-Alvarado
,
A.
,
Iturbide-Jiménez
,
F.
, and
Licona-morán
,
B.
,
2014
, “
Physical-Chemical Properties of PDMS Samples Used in Tunable Lenses
,”
Int. J. Eng. Sci. Innovative Technol.
,
3
(
2
), pp.
563
571
.https://www.researchgate.net/profile/A_Santiago-Alvarado/publication/261861311_Physical-chemical_properties_of_PDMS_samples_used_in_tunable_lenses/links/00463535a75d689de6000000/Physical-chemical-properties-of-PDMS-samples-used-in-tunable-lenses.pdf
21.
Ryoo
,
J. H.
,
Jeong
,
G. S.
,
Kang
,
E.
, and
Lee
,
S. H.
,
2011
, “
Ultrathin, Hyperelastic PDMS Nano Membrane: Fabrication and Characterization
,”
15th International Conference on Miniaturized Systems for Chemistry and Life Sciences
,
Seattle, WA
, Oct. 2–6, pp.
686
688
.http://www.rsc.org/images/LOC/2011/PDFs/Papers/230_0672.pdf
22.
Owen
,
S. R.
, and
Harper
,
J. F.
,
1999
, “
Mechanical, Microscopical and Fire Retardant Studies of ABS Polymers
,”
Polym. Degrad. Stab.
,
64
(
3
), pp.
449
455
.
23.
Tiganis
,
B. E.
,
Burn
,
L. S.
,
Davis
,
P.
, and
Hill
,
A. J.
,
2002
, “
Thermal Degradation of Acrylonitrile-Butadiene-Styrene (ABS) Blends
,”
Polym. Degrad. Stab.
,
76
(
3
), pp.
425
434
.
24.
Sanders
,
J. E.
,
1995
, “
Interface Mechanics in External Prosthetics: Review of Interface Stress Measurement Techniques
,”
Med. Biol. Eng. Comput.
,
33
(
4
), pp.
509
516
.
25.
Zhao
,
M.
,
Tang
,
X.
,
Zhang
,
X.
,
Zhang
,
T.
, and
Kou
,
F.
,
2015
, “
Design and Optimization of Capacitive Liquid Level Sensor Based on CAV444
,”
Instrum. Tech. Sens.
,
1
(
1
), p.
3
.http://en.cnki.com.cn/Article_en/CJFDTotal-YBJS201501003.htm
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