APPLICATION OF OPTIMIZATION PRINCIPLES IN DETERMINING THE INTERNAL MOMENTS IN HUMAN LEG JOINTS DURING GAIT.
IOWA UNIV IOWA CITY DEPT OF MECHANICS AND HYDRAULICS
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To eliminate the difficulties encountered in numerical differentiation in calculating the internal moments at leg joints during gait, an alternative method based on optimal design principles is proposed. In this method, the moments are first estimated in order to solve a set of differential equations for the velocities and displacements involved during gait. The displacements so obtained are compared with the experimentally measured values. An iterative scheme is developed so that as the variations between the calculated and the measured displacements decreases the desired solution for the moments is approached. The analytical model of human gait is derived based on reasonable assumptions. The direct method of steepest descent is applied to pursue the solution. The existence and uniqueness of the solution are discussed based on the characteristics of the physical system and the method of steepest descent. The analysis and the method of solution can easily be extended to other similar biodynamical problems.
- Anatomy and Physiology