A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics

O Jay; Dan Negrut

doi:10.1007/978-1-4020-8829-2_8

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Book chapter

A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics

O Jay and Dan Negrut

Multibody Dynamics, pp.143-158

Computational Methods in Applied Sciences, Springer Netherlands

2008

DOI: 10.1007/978-1-4020-8829-2_8

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Abstract

We present a new second order extension of the generalized—α method of Chung and Hulbert for systems in mechanics having nonconstant mass matrix, holonomic constraints, and/or nonholonomic constraints. Such systems are frequently encountered in multibody dynamics. For variable step—sizes, a new adjusting formula preserving the second order of the method is proposed.

Engineering

Vibration, Dynamical Systems, Control

Computational Mathematics and Numerical Analysis

Appl.Mathematics/Computational Methods of Engineering

Mechanical Engineering

Theoretical and Applied Mechanics

Details

Title: Subtitle: A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics
Creators: O Jay - The University of Iowa
Dan Negrut - University of Wisconsin-Madison
Contributors: Carlo L Bottasso (Editor)
Resource Type: Book chapter
Publication Details: Multibody Dynamics, pp.143-158
Series: Computational Methods in Applied Sciences
DOI: 10.1007/978-1-4020-8829-2_8
Publisher: Springer Netherlands; Dordrecht
Language: English
Date published: 2008
Academic Unit: Mathematics
Record Identifier: 9983985852302771

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