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

P. E. Nikravesh; I. S. Chung

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

P. E. Nikravesh
, I. S. Chung

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper presents a computer-based method for formulation and 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 body in 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 language	English (US)
Journal	American Society of Mechanical Engineers (Paper)
State	Published - 1981
Externally published	Yes
Event	Unknown conference - Duration: Sep 20 1981 → Sep 23 1981

ASJC Scopus subject areas

Mechanical Engineering

Cite this

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title = "APPLICATION OF EULER PARAMETERS TO THE DYNAMIC ANALYSIS OF THREE-DIMENSIONAL CONSTRAINED MECHANICAL SYSTEMS.",

abstract = "This paper presents a computer-based method for formulation and 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 body in 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, \{P. E.\} and Chung, \{I. S.\}",

year = "1981",

language = "English (US)",

journal = "American Society of Mechanical Engineers (Paper)",

issn = "0402-1215",

note = "Unknown conference ; Conference date: 20-09-1981 Through 23-09-1981",

}

TY - JOUR

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

AU - Nikravesh, P. E.

AU - Chung, I. S.

PY - 1981

Y1 - 1981

N2 - This paper presents a computer-based method for formulation and 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 body in 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 formulation and 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 body in 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 - https://www.scopus.com/pages/publications/85069338548

UR - https://www.scopus.com/pages/publications/85069338548#tab=citedBy

M3 - Conference article

AN - SCOPUS:85069338548

SN - 0402-1215

JO - American Society of Mechanical Engineers (Paper)

JF - American Society of Mechanical Engineers (Paper)

T2 - Unknown conference

Y2 - 20 September 1981 through 23 September 1981

ER -

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

Abstract

ASJC Scopus subject areas

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