Biomedical Engineering Reference
In-Depth Information
8.7
CONCLUSIONS
In this chapter, a procedure for generating the equations of motion for a given
model was presented. The method replaces model configuration and gathers
parameters by groups of linked lists. The first element of each list links the
list to other relevant lists in the model. Once these lists are written correctly,
deriving the equations of motion follows the same systematic procedure. This
makes the method more suitable for computer implementation. As for hand
derivation, the only variation from a simple model to a complicated one is
the amount of work involved.
8.8
REFERENCES
Andrews, G. C. “A General Restatement of the Laws of Dynamics Based on Graph
Theory,” in Problem Analysis in Science and Engineering ,F.H.Branin,Jr.,Ed.
(Academic Press, New York, 1977).
Andrews, G. C. and H. K. Kesavan. “The Vector Network Model: A New Approach to
Vector Dynamics,” J. Mechanisms and Mach. Theory 10 :57 -75, 1975.
Beckett, R. and K. Chang. “On the Evaluation of the Kinematics of Gait by Minimum
Energy,” J. Biomech . 1 :147 - 159, 1968.
Chace, M. A. Methods and Experience in Computer Aided Design of Large Displacement
Mechanical Systems , NATO ASI Series, vol. F9. (Springer, Berlin, 1984).
Chao, E. Y. and K. Rim. “Applications of Optimization Principles in Determining the
Applied Moments in Human Leg Joints During Gait,” J. Biomech . 6 :497 - 510, 1973.
Chen, B., M. J. Hines, and H. Hemami. “Dynamic Modeling for Implementation of a
Right Turn in Bipedal Walking,” J. Biomech . 19 :195 -206, 1986.
Gilchrist, L. A. and D. A. Winter. “A Two-Part, Viscoelastic Foot Model for Use in
Gait Simulations,” J. Biomech . 29 :795 -798, 1996.
Gilchrist, L. A. and D. A. Winter. “A Multisegment Computer Simulation of Normal
Human Gait,” IEEE Trans. Rehab. Eng . 5 :290 - 299, 1997.
Greenwood, D. T. Classical Dynamics . (Prentice-Hall, Englewood Cliff, NJ, 1977).
Hemami, H. “A Feedback On-Off Model of Biped Dynamics,” IEEE Trans. on Systems,
Man and Dynamics SMC-10 :376 -383, 1980.
Hemami, H., M. J. Hines, R. E. Goddard, and B. Friedman. “Biped Sway in the Frontal
Plane with Locked Knees,” IEEE Trans. System. Man. Cybern . SMC-12 :577 - 582,
1982 a .
Hemami, H., Y. F. Zhang, and M. J. Hines. “Initiation of Walk and Tiptoe of a Planar
Nine-Link Biped,” Math. Biosci . 61 :163 - 189, 1982 b .
Onyshko, S. and D. A. Winter. “A Mathematical Model for the Dynamics of Human
Locomotion,” J. Biomech . 13 :361 -368, 1980.
Pandy, M. G. and N. Berme. “Synthesis of Human Walking: A Planar Model of Single
Support,” J. Biomech . 21 :1053 -1060, 1988.
Paul, B. “DYMAC: A Computer Program to Simulate Machinery Dynamics,” J. Agric.
Eng . 59 :15 - 16, 1978.
Search WWH ::




Custom Search