A Time Integration Algorithm for Flexible Mechanism Dynamics: The DAE alpha-Method.

Abstract

This paper introduces a new family of second-order methods for solving the index-2 DAE equations of motion for flexible mechanism dynamics. These methods, which extend the alpha-methods for ODEs of structural dynamics to DAEs, possess numerical dissipation that can be controlled by the user. Convergence and stability analysis is given and verifies that the DAE alpha-methods introduce no additional oscillations and preserve the stability of the underlying ODE system. Convergence of the Newton iteration, which can be a source of difficulty in solving nonlinear oscillartoy systems with large stepsizes, is achieved via a coordinate-split modification to the Newton iterations. Numerical results illustrate the effectiveness of the new methods for simulation of flexible mechanisms.

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Document Details

Document Type
Technical Report
Publication Date
Sep 18, 1996
Accession Number
ADA317002

Entities

People

  • Jeng Yen
  • Linda Petzold
  • Soumyendu Raha

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Convergence
  • Dissipation
  • Dynamics
  • Eigenvalues
  • Equations
  • Equations Of Motion
  • Frequency
  • Iterations
  • Nonlinear Systems
  • Numerical Integration
  • Oscillation
  • Simulations
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Database Systems and Applications
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)