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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 79
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and C.A. Mota Soares
Paper 103
Selection of the Cost Function for Determination of Muscle Forces T. Phanindra and S. Majumdar
Indian Institute of Technology, Kharagpur, India Full Bibliographic Reference for this paper
T. Phanindra, S. Majumdar, "Selection of the Cost Function for Determination of Muscle Forces", in B.H.V. Topping, C.A. Mota Soares, (Editors), "Proceedings of the Seventh International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 103, 2004. doi:10.4203/ccp.79.103
Keywords: musculo-skeletal, tensegrity structure, cost function, Hill's model, biomechanics, configuration space, visco-elastic.
Summary
The musculoskeletal system can be viewed as an indeterminate structure at one level and
an unstable mechanism at another. In this paper a sub-structured inverse dynamics
approach has been adopted to determine the muscle forces. Individual muscle forces are
found through an optimization procedure using joint equilibrium equations as constraints.
Thus a special set of cost functions must be specified and the problem has to be handled
as a mathematical programming problem. This paper emphasizes on the different choices
of `cost functions' for different types of activities. The cost function is not unique and
depends on the magnitude of external load (
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where, vectors ![]() ![]() ![]()
Selection of the cost function:In a living and self-organizing biological system cost function is not unique. It is dependent on the external load![]()
Conclusion:In the present work some of the probable cost functions are presented. These are based on total energy, minimum dissipation and maximum viscous strain. It also shows that depending on the sense of loading, that is active or passive, group of muscle involved are different. In cyclic loading this phenomenon is considered. Consequences of different cost functions involved are demonstrated through numerical example.purchase the full-text of this paper (price £20)
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