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

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 18, 1996
Accession Number
ADA317008

Entities

People

  • Jeng Yen
  • Linda Petzold

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Computational Complexity
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Science
  • Computers
  • Convergence
  • Coordinate Systems
  • Dynamics
  • Equations
  • Equations Of Motion
  • Frequency
  • High Performance Computing
  • Iterations
  • Nonlinear Systems
  • Numerical Integration
  • Simulations
  • Splitting

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Operations Research
  • Plasma Physics.