Optimal design of mechanical systems with constraint violation stabilization method

C. O. Chang, Parviz E Nikravesh

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

This paper presents a comprehensive optimal design procedure for constrained dynamic systems. The constraint violation stabilization method for dynamic analysis of mechanical systems is briefly reviewed. A direct differentiation method is used to form the equations of design sensitivity analysis based on a constraint violation stabilization method. The sensitivity equations and the equations of motion are integrated simultaneously to obtain the system response, as well as the state sensitivity matrices. All integrations are performed using a multistep predictor-corrector method. The first order design sensitivity matrix is used to calculate the gradient of cost function and the performance constraint during the optimization procedure. An optimization routine is linked to the analysis/sensitivity algorithm. Two examples are given which illustrate the effectiveness of this method for determining the optimal design of a system.

Original languageEnglish (US)
Pages (from-to)493-498
Number of pages6
JournalJournal of Mechanical Design, Transactions Of the ASME
Volume107
Issue number4
DOIs
StatePublished - 1985

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Sensitivity analysis
Stabilization
Cost functions
Dynamic analysis
Equations of motion
Dynamical systems
Optimal design

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

Cite this

Optimal design of mechanical systems with constraint violation stabilization method. / Chang, C. O.; Nikravesh, Parviz E.

In: Journal of Mechanical Design, Transactions Of the ASME, Vol. 107, No. 4, 1985, p. 493-498.

Research output: Contribution to journalArticle

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