Accession Number : ADA317002

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

Descriptive Note : Technical rept.,

Corporate Author : MINNESOTA UNIV MINNEAPOLIS DEPT OF COMPUTER SCIENCE

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

PDF Url : ADA317002

Report Date : 18 SEP 1996

Pagination or Media Count : 25

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.

Descriptors :   *ALGORITHMS, *EQUATIONS OF MOTION, *DEFORMATION, *OSCILLATION, VIBRATION, TIME DEPENDENCE, STRUCTURAL ANALYSIS, STRUCTURAL RESPONSE, NUMERICAL INTEGRATION, PARTIAL DIFFERENTIAL EQUATIONS, CONVERGENCE, SYSTEMS ANALYSIS, ITERATIONS, NONLINEAR ALGEBRAIC EQUATIONS, FLEXIBLE STRUCTURES, FORCE(MECHANICS).

Subject Categories : Mechanics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE