A Differentiable Null Space Method for Constrained Dynamic Analysis-Reference-Cited by-同舟云学术

A Differentiable Null Space Method for Constrained Dynamic Analysis

Published:1987-09-01 Issue:3 Volume:109 Page:405-411
ISSN:0738-0666
Container-title:Journal of Mechanisms, Transmissions, and Automation in Design
language:en
Short-container-title:

Author:

Liang C. G.¹,Lance George M.²

Affiliation:

1. General Motors Research Laboratories, Warren, MI

2. Center for Computer Aided Design, Department of Mechanical Engineering, College of Engineering, The University of Iowa, Iowa City, IA 52242

Abstract

A geometric approach to the solution of the dynamic response of constrained mechanical systems is proposed. A continuous and differentiable basis of the constraint null space is automatically generated using the Gram-Schmidt process. The independent coordinates are obtained by transforming the physical velocity coordinates to the tangent hyperplane of the constraint surface. As a result the independent coordinates lie on the constraint surface and no constraint violation control is necessary.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/109/3/405/5732179/405_1.pdf

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