Numerical integration scheme using singular perturbation method

Gibin Gil, Ricardo G. Sanfelice, Parviz E Nikravesh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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 languageEnglish (US)
Title of host publicationProceedings of the ASME Design Engineering Technical Conference
PublisherAmerican Society of Mechanical Engineers
Volume7 A
ISBN (Print)9780791855966
DOIs
StatePublished - 2013
EventASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013 - Portland, OR, United States
Duration: Aug 4 2013Aug 7 2013

Other

OtherASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013
CountryUnited States
CityPortland, OR
Period8/4/138/7/13

Fingerprint

Singular Perturbation Method
Numerical integration
Equations of motion
Absolute Stability
Dynamical systems
Multibody Systems
Stability Condition
Equations of Motion
Dynamical system
Degree of freedom
Interaction

ASJC Scopus subject areas

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

Cite this

Gil, G., Sanfelice, R. G., & Nikravesh, P. E. (2013). Numerical integration scheme using singular perturbation method. In Proceedings of the ASME Design Engineering Technical Conference (Vol. 7 A). American Society of Mechanical Engineers. https://doi.org/10.1115/DETC2013-13330

Numerical integration scheme using singular perturbation method. / Gil, Gibin; Sanfelice, Ricardo G.; Nikravesh, Parviz E.

Proceedings of the ASME Design Engineering Technical Conference. Vol. 7 A American Society of Mechanical Engineers, 2013.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gil, G, Sanfelice, RG & Nikravesh, PE 2013, Numerical integration scheme using singular perturbation method. in 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
Gil G, Sanfelice RG, Nikravesh PE. Numerical integration scheme using singular perturbation method. In Proceedings of the ASME Design Engineering Technical Conference. Vol. 7 A. American Society of Mechanical Engineers. 2013 https://doi.org/10.1115/DETC2013-13330
Gil, Gibin ; Sanfelice, Ricardo G. ; Nikravesh, Parviz E. / Numerical integration scheme using singular perturbation method. Proceedings of the ASME Design Engineering Technical Conference. Vol. 7 A American Society of Mechanical Engineers, 2013.
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