Abstract
This work develops a simple low order model of the lower leg that incorporates the effects of a nonlinear biceps femoris muscle actuator and explores the feasibility of identifying a nonparametric model for the knee joint’s rotational behavior as well as the joint activation function that drives the motion. The NL-LTP algorithm is applied to this system and some promising results are obtained. In particular, the nonlinear equations of motion and the joint activation moment are estimated from the “measured responses”. The accuracy of these nonlinear parameter estimates and the implications for future experimental studies of biomechanical systems are discussed.
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Appendix
Appendix
The NL-LTP method was used to identify the eigenvalue and mode shape of the LTP system simulated in this work. As a part of the method, this mode has to be expanded in a Fourier series. Only the terms in the series that correspond to mode peaks in the frequency domain plot of the linear time periodic response should be kept and used to construct the LTP A(t) matrix (see [1, 2] for further detail). The Fourier terms that were kept for the mode in the results of this work are plotted below in the figure and tabulated for additional reference (Fig. 7.8, Table 7.1).
Plot of the Fourier terms used in the Fourier description of the identified LTP mode
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Sracic, M.W. (2015). Muscle Property Identification During Joint Motion Using the NL-LTP Method. In: Allemang, R. (eds) Special Topics in Structural Dynamics, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-15048-2_7
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DOI: https://doi.org/10.1007/978-3-319-15048-2_7
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