Abstract
In this paper we propose the time-dependent Hamiltonian form of human biomechanics, as a sequel to our previous work in time-dependent Lagrangian biomechanics [1]. This is the time-dependent generalization of an ‘ordinary’ autonomous human biomechanics, in which total mechanical + biochemical energy is not conserved. In our view, this time-dependent energetic approach is much more realistic than the autonomous one. Starting with the Covariant Force Law, we first develop autonomous Hamiltonian biomechanics. Then we extend it using a powerful geometrical machinery consisting of fibre bundles and jet manifolds associated to the biomechanical configuration manifold. We derive time-dependent, dissipative, Hamiltonian equations and the fitness evolution equation for the general time-dependent human biomechanical system.
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T. Ivancevic, Cent. Eur. J. Phys., DOI:10.2478/s11534-009-0148-z
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Ivancevic, T.T., Jovanovic, B., Stankovic, R. et al. Jet spaces in modern Hamiltonian biomechanics. centr.eur.j.phys. 8, 873–882 (2010). https://doi.org/10.2478/s11534-010-0024-x
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DOI: https://doi.org/10.2478/s11534-010-0024-x