Efficient Newton-Type Iteration for the Numerical Solution of Highly OscillatoryConstrained Multibody Dynamic Systems

摘要

In this paper we present a coordinate-split (CS) technique for the numericalsolution of the equations of motion of constrained multibody dynamic systems. We show how the coordinate-split technique can be implemented within the context of commonly used solution methods, for increase efficiency and reliability. A particularly challenging problem for multibody dynamics is the numerical solution of highly oscillatory nonlinear mechanical systems. The standard Newton iterations is known to experience severe convergence difficulties which forces restriction of the step size. We introduce a modified coordinate-split (CM) iteration which overcomes these problems. Convergence analysis explains the improved convergence for nonlinear oscillatory systems, and numerical experiments illustrate the effectiveness of the new method.