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

86 Citations (Scopus)

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
StatePublished - Oct 1982
Externally publishedYes

Fingerprint

Dynamic analysis
Equations of motion
Differential equations

ASJC Scopus subject areas

  • Engineering(all)

Cite this

@article{3f2df233f68b4f58955c4c5c8988766b,
title = "APPLICATION OF EULER PARAMETERS TO THE DYNAMIC ANALYSIS OF THREE-DIMENSIONAL CONSTRAINED MECHANICAL SYSTEMS.",
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.",
author = "Nikravesh, {Parviz E} and CHUNG, {I. S.}",
year = "1982",
month = "10",
language = "English (US)",
volume = "V 104",
pages = "785--791",
journal = "Journal of Mechanical Design - Transactions of the ASME",
issn = "0738-0666",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "N 4",

}

TY - JOUR

T1 - APPLICATION OF EULER PARAMETERS TO THE DYNAMIC ANALYSIS OF THREE-DIMENSIONAL CONSTRAINED MECHANICAL SYSTEMS.

AU - Nikravesh, Parviz E

AU - CHUNG, I. S.

PY - 1982/10

Y1 - 1982/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0020197375&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020197375&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0020197375

VL - V 104

SP - 785

EP - 791

JO - Journal of Mechanical Design - Transactions of the ASME

JF - Journal of Mechanical Design - Transactions of the ASME

SN - 0738-0666

IS - N 4

ER -