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

Report Date:

1996-09-18

Pagination or Media Count:

25.0

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