Numerical integration scheme using singular perturbation method

Gibin Gil; Ricardo G. Sanfelice; Parviz E. Nikravesh

doi:10.1115/DETC2013-13330

Numerical integration scheme using singular perturbation method

Gibin Gil, Ricardo G. Sanfelice, Parviz E. Nikravesh

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

Some multi degree-of-freedom dynamical systems exhibit a response that contain fast and slow variables. An example of such systems is a multibody system with rigid and deformable bodies. Standard numerical integration of the resultant equations of motion must adjust the time step according to the frequency of the fastest variable. As a result, the computation time is sacrificed. The singular perturbation method is an analysis technique to deal with the interaction of slow and fast variables. In this study, a numerical integration scheme using the singular perturbation method is discussed, its absolute stability condition is derived, and its order of accuracy is investigated.

Original language	English (US)
Title of host publication	9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Publisher	American Society of Mechanical Engineers
ISBN (Print)	9780791855966
DOIs	https://doi.org/10.1115/DETC2013-13330
State	Published - 2013
Externally published	Yes
Event	ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013 - Portland, OR, United States Duration: Aug 4 2013 → Aug 7 2013

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	7 A

Other

Other	ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013
Country/Territory	United States
City	Portland, OR
Period	8/4/13 → 8/7/13

ASJC Scopus subject areas

Modeling and Simulation
Mechanical Engineering
Computer Science Applications
Computer Graphics and Computer-Aided Design

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10.1115/DETC2013-13330

Cite this

Numerical integration scheme using singular perturbation method. / Gil, Gibin; Sanfelice, Ricardo G.; Nikravesh, Parviz E.
9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers, 2013. (Proceedings of the ASME Design Engineering Technical Conference; Vol. 7 A).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Gil, G, Sanfelice, RG & Nikravesh, PE 2013, Numerical integration scheme using singular perturbation method. in 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Proceedings of the ASME Design Engineering Technical Conference, vol. 7 A, American Society of Mechanical Engineers, ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013, Portland, OR, United States, 8/4/13. https://doi.org/10.1115/DETC2013-13330

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year = "2013",

doi = "10.1115/DETC2013-13330",

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AU - Sanfelice, Ricardo G.

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AB - Some multi degree-of-freedom dynamical systems exhibit a response that contain fast and slow variables. An example of such systems is a multibody system with rigid and deformable bodies. Standard numerical integration of the resultant equations of motion must adjust the time step according to the frequency of the fastest variable. As a result, the computation time is sacrificed. The singular perturbation method is an analysis technique to deal with the interaction of slow and fast variables. In this study, a numerical integration scheme using the singular perturbation method is discussed, its absolute stability condition is derived, and its order of accuracy is investigated.

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Y2 - 4 August 2013 through 7 August 2013

ER -

Numerical integration scheme using singular perturbation method

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