Automatic generation and integration of equations of motion for flexible multibody dynamical systems
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In this paper, we consider a new direction for generating and simultaneously solving equations of motion for dynamical systems, using automatic differentiation. We overview the current computational approaches for solving multibody dynamics problems and discuss several choices for equation of motion formulation. We present an operator-overloading method for generating equations of motion automatically via Lagrange's Equations and solve them in a direct fashion. Several numerical examples are presented to demonstrate the accuracy and efficiency of the method for simulating the motion of multibody dynamical systems.