Accession Number : ADA317005

Title :   An Efficient Newton-Type Iteration for the Numerical Solution of Highly Oscillatory Constrained Multibody Dynamic Systems.

Descriptive Note : Technical rept.,

Corporate Author : MINNESOTA UNIV MINNEAPOLIS DEPT OF COMPUTER SCIENCE

Personal Author(s) : Yen, Jeng ; Petzold, Linda

PDF Url : ADA317005

Report Date : 18 SEP 1996

Pagination or Media Count : 37

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.

Descriptors :   *NUMERICAL INTEGRATION, *OSCILLATION, MATHEMATICAL MODELS, EQUATIONS OF MOTION, MATRICES(MATHEMATICS), DAMPING, NONLINEAR SYSTEMS, PARTIAL DIFFERENTIAL EQUATIONS, CONVERGENCE, SYSTEMS ANALYSIS, ITERATIONS, NONLINEAR ALGEBRAIC EQUATIONS, FORCE(MECHANICS).

Subject Categories : Mechanics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE