Analysis Methodology Based On Temporal FEM
For Bio-mechanical Simulations
Author(s)
A. Eriksson
Abstract
This paper deals with the analysis of optimal path forward dynamics of mechanical
systems. The primary applications considered are bio-mechanical simulations of
musculoskeletal systems. The focus is put on problems of controlled movements
from one configuration to another. Different criteria for this movement are allowed
in the formulation. Formulations, examples and conclusions are given.
1 Introduction
This paper deals with the analysis of optimal path forward dynamics of mechanical
systems. The primary applications considered are bio-mechanical simulations of
musculoskeletal systems. Controlled problems are considered, with an initial state,
but also a limited number of target states at certain time instances. An optimal path
is sought, which produces the movement at the lowest possible cost. Different
choices of cost functions are considered.
The methodology uses a temporal finite element formulation, based on Hermitian
interpolation of all displacement coordinates, [1]. The problem is using a
limited number of displacement coordinates for kinematic description. The basic
principle is a time instance set of dynamic equilibrium equations, linear or nonlinear,
involving the external loads, and unknown control forces to be decided.
The control forces can be forces in certain coordinates at certain time stations, typically
joint moments, but the setting allows muscular forces, or even the muscular
nominal stresses to be used as unknowns.
The main assumption and limitation in the present simulations, when seen in the
musculoskeletal context, is that the forces can be infinitely quickly regulated,without
delays and not considering the activation dynamics. Restrictions on displacement
coordinates or controls can be introduced. Redundancy in the force system
Keywords
Related Book
Other papers in this volume
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