0
RESEARCH PAPERS

Automated Linearization of Nonlinear Coupled Differential and Algebraic Equations

[+] Author and Article Information
J. D. Trom, M. J. Vanderploeg

Dept. of Mechanical Engineering, Iowa State University, Ames, IA 50011

J. Mech. Des 116(2), 429-436 (Jun 01, 1994) (8 pages) doi:10.1115/1.2919397 History: Received October 01, 1992; Online June 02, 2008

Abstract

This paper presents a new approach for linearization of large multibody dynamic systems. The approach uses an analytical differentiation of terms evaluated in a numerical equation formulation. This technique is more efficient than finite difference and eliminates the need to determine finite difference pertubation values. Because the method is based on a relative coordinate formalism, linearizations can be obtained for equilibrium configurations with non-zero Cartesian accelerations. Examples illustrate the accuracy and efficiency of the algorithm, and its ability to compute linearizations for large-scale systems that were previously impossible.

Copyright © 1994 by The American Society of Mechanical Engineers
Topics: Equations
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In