APPLICATION OF EULER PARAMETERS TO THE DYNAMIC ANALYSIS OF THREE-DIMENSIONAL CONSTRAINED MECHANICAL SYSTEMS.

Parviz E Nikravesh, I. S. CHUNG

Research output: Contribution to journalArticle

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Abstract

THIS PAPER PRESENTS A COMPUTER-BASED METHOD FOR FORMULATIONAND EFFICIENT SOLUTION OF NONLINEAR, CONSTRAINED DIFFERENTIAL EQUATIONS OF MOTION FOR SPATIAL DYNAMIC ANALYSIS OF MECHANICAL SYSTEMS. NONLINEAR HOLONOMIC CONSTRAINT EQUATIONS AND DIFFERENTIAL EQUATIONS OF MOTION ARE WRITTEN IN TERMS OF A MAXIMAL SET OF CARTESIAN GENERALIZED COORDINATES, THREE TRANSLATIONAL AND FOUR ROTATIONAL COORDINATES FOR EACH RIGID BODYIN THE SYSTEM, WHERE THE ROTATIONAL COORDINATES ARE THE EULER PARAMETERS. A NUMERICAL INTEGRATION ALGORITHM WITH POSITIVE-ERROR CONTROL, EMPLOYING A PREDICTOR-CORRECTOR ALGORITHM WITH VARIABLE ORDER AND STEP SIZE, INTEGRATES FOR ONLY THE INDEPENDENT VARIABLES, YET EFFECTIVELY DETERMINES DEPENDENT VARIABLES.

Original languageEnglish (US)
Pages (from-to)785-791
Number of pages7
JournalJournal of Mechanical Design - Transactions of the ASME
VolumeV 104
Issue numberN 4
Publication statusPublished - Oct 1982
Externally publishedYes

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ASJC Scopus subject areas

  • Engineering(all)

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