An Efficient Newton-Type Iteration for the Numerical Solution of Highly Oscillatory Constrained Multibody Dynamic Systems.
Abstract
In this paper we present a coordinate-split (CS) technique for the numerical solution 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. Highly stable implicit integration methods with large stepsizes can be used to damp the oscillation, if it is of small amplitude. However, 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 18, 1996
- Accession Number
- ADA317005
Entities
People
- Jeng Yen
- Linda Petzold
Organizations
- University of Minnesota