Graphical Interpretation of the Solution to the Redundant Problem in Biomechanics

[+] Author and Article Information
E. Y. Chao, K. N. An

Orthopedic Biomechanics Laboratory, Mayo Clinic/Mayo Foundation, Rochester, Minn. 55901

J Biomech Eng 100(3), 159-167 (Aug 01, 1978) (9 pages) doi:10.1115/1.3426207 History: Received March 08, 1978; Online October 21, 2010


Force analysis of musculoskeletal joint systems is a redundant problem since the number of unknowns exceeds the number of equilibrium and constraint equations. Such a problem has been analyzed previously by the method of permutation/combination and by optimization technique. This paper combines both methods and discusses the results in the light of a graphical presentation from which unique and nonunique solutions to the problem are elaborated. When the applied load is nominal, multiple solutions are possible to meet the functional requirements. However, under maximum strength, unique solution exists because the redundant muscles reach their physiological limits.

Copyright © 1978 by ASME
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