A new vectorial bondgraph approach for modeling and simulation of human locomotion is introduced. The vectorial bondgraph is applied to an eight-segment gait model to derive the equations of motion for studying ground reaction forces (GRFs) and centers of pressure (COPs) in single and double support phases of ground and treadmill walking. A phase detection technique and accompanying transition equation is proposed with which the GRFs and COPs may be calculated for the transitions from double-to-single and single-to-double support phases. Good agreement is found between model predictions and experimental data obtained from force plate measurements. The bondgraph modeling approach is shown to be both informative and adaptable, in the sense that the model resembles the human body structure, and that modeled body segments can be easily added or removed.

1.
Amirouche
,
F. M. L.
,
Ider
,
S. K.
, and
Trimble
,
J.
,
1990
, “
Analytical Method for the Analysis and Simulation of Human Locomotion
,”
ASME J. Biomech. Eng.
,
112
,
379
379
.
2.
Kuo
,
A. D.
,
1998
, “
A Least-Square Estimation Approach to Improving the Precision of the Inverse Dynamics Computations
,”
ASME J. Biomech. Eng.
,
120
,
148
148
.
3.
Meglan, D., and Todd, F., 1994, “Kinetics of Human Locomotion,” Human Walking, 2nd edition, Jessica Rose and James G. Gamble, eds., pp. 73–101, Williams & Wilkins.
4.
Risher
,
D. W.
,
Schutte
,
L. M.
, and
Runge
,
C. F.
,
1997
, “
The Use of Inverse Dynamics Solutions in Direct Dynamics Simulations
,”
ASME J. Biomech. Eng.
,
119
,
417
417
.
5.
Runge
,
C. F.
,
Zojac
,
F. E.
,
Risher
,
D. W.
, and
Bryson
,
A. E.
,
1995
, “
Estimating Net Joint Torques From Kinesiological Data Using Optimal Linear System Theory
,”
IEEE Trans. Biomed. Eng.
,
42
(
12
),
1158
1158
.
6.
Tashman
,
S.
,
Zojac
,
F. E.
, and
Perkash
,
I.
,
1995
, “
Modeling and Simulation of Paraplegic Ambulation in a Reciprocating Gait Orthosis
,”
ASME J. Biomech. Eng.
,
117
,
300
300
.
7.
Winter
,
D. A.
,
1995
, “
Human Balance and Posture Control During Standing and Walking
,”
Journal of Gait & Posture
,
3
,
193
193
.
8.
Anderson
,
F. C.
, and
Pandy
,
M. G.
,
2001
, “
Dynamic Optimization of Human Walking
,”
ASME J. Biomech. Eng.
,
123
,
381
381
.
9.
Alkjaer
,
T.
,
Simonsen
,
E. B.
, and
Dyhre-Poulsen
,
P.
,
2002
, “
Comparison of Inverse Dynamics Calculated by Two- and Three-Dimensional Models During Walking
,”
Journal of Gait and Posture
,
13
,
73
73
.
10.
Anderson
,
F. C.
, and
Pandy
,
M. G.
,
1999
, “
A Dynamic Optimization Solution for Vertical Jumping in Three Dimensions
,”
Journal of Comput Meth. in Biomech. and Biomed. Eng.
,
2
,
201
201
.
11.
Kuo
,
A. D.
,
2001
, “
A Simple Model of Bipedal Walking Predicts the Preferred Speed-Step Length Relationship
,”
J. Biomech. Eng.
,
123
,
264
264
.
12.
Tagawa
,
Y.
, and
Yamashita
,
T.
,
2001
, “
Analysis of Human Abnormal Walking Using Zero Moment Joint: Required Compensatory Actions
,”
J. Biomech.
,
34
,
783
783
.
13.
Matthijsse, P. C., and Breedveld, P. C., 1988, “Modeling and Simulation of Human Gait in Three Dimensions Using Multibond Graphs and Implicit Integration Routines,” in Congress Proceedings, pages 477–480. 7th Congress of the International Society of Electrophysiological Kinesiology.
14.
Matthijsse, P. C., and Breedveld, P. C., 1989, “Modeling and Simulation of Human Gait in Three Dimensions With Multibond Graphs,” in Congress Proceedings, pages 208–209. Xii International Congress of Biomechanics, Los Angeles, California.
15.
Karnopp, D. C., Margolis, D. L., and Rosenberg, R. C., 1990, Systems Dynamics: A Unified Approach, Wiley & Sons, New York.
16.
Winter, David A., 1990, Biomechanics and Motor Control of Human Movement, John Wiley, New York.
17.
McCaw
,
Steven T.
, and
Paul
,
DeVita
,
1995
, “
Errors in Alignment of Center of Pressure and Foot Coordinates Affect Predicted Lower Extremity Torques
,”
J. Biomech. Eng.
,
28
,
985
985
.
18.
Winter, David A., 1995, The Biomechanics and Motor Control of Human Gait: Normal, Elderly and Pathological, University of Waterloo Press.
19.
Taga
,
Gentaro
,
1995
, “
A Model of Neuro–Musculo–Skeletal System for the Human Locomotion
,”
IEEE Biological Cybernetics
,
73
,
97
97
.
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