Accession Number : ADA317008

Title :   Convergence of the Iterative Methods for Coordinate- Splitting Formulation in Multibody Dynamics.

Descriptive Note : Technical rept.,

Corporate Author : MINNESOTA UNIV MINNEAPOLIS DEPT OF COMPUTER SCIENCE

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

PDF Url : ADA317008

Report Date : 18 SEP 1996

Pagination or Media Count : 29

Abstract : In a previous paper, we introduced a coordinate-splitting (CS) form of the equations of motion for multibody systems which together with a modified nonlinear iteration (CM), is particularly effective in the solution of certain nonlinear highly oscillatory systems. In this paper, we examine the convergence of the CS and CM iterations and explain the improved convergence of the CM iteration. An example is given from flexible body simulation which illustrates the convergence results and the class of problems for which the CM iteration is most effective.

Descriptors :   *EQUATIONS OF MOTION, *NUMERICAL METHODS AND PROCEDURES, MATRICES(MATHEMATICS), DEFORMATION, NONLINEAR SYSTEMS, PARTIAL DIFFERENTIAL EQUATIONS, CONVERGENCE, SYSTEMS ANALYSIS, OSCILLATION, ITERATIONS, FLEXIBLE STRUCTURES, FORCE(MECHANICS).

Subject Categories : Operations Research
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE