On the approximation of dynamical systems subjected to strong parametric excitations

R. Pandiyan, Eric Butcher, S. C. Sinha

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

1 Citation (Scopus)

Abstract

A new approach for constructing equivalent approximate time-invariant forms for general multi-dimensional dynamical systems subjected to periodic parametric excitations is presented. The technique is based on the application of the Liapunov-Floquet transformation and normal form theory. It is shown that a dynamical system described by a set of second order differential equations with periodic coefficients can be transformed to a similar set of equations which is time-invariant.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
PublisherASME
Pages275-282
Number of pages8
Volume192
StatePublished - 1994
Externally publishedYes
EventProceedings of the 1994 International Mechanical Engineering Congress and Exposition - Chicago, IL, USA
Duration: Nov 6 1994Nov 11 1994

Other

OtherProceedings of the 1994 International Mechanical Engineering Congress and Exposition
CityChicago, IL, USA
Period11/6/9411/11/94

Fingerprint

Dynamical systems
Differential equations

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Pandiyan, R., Butcher, E., & Sinha, S. C. (1994). On the approximation of dynamical systems subjected to strong parametric excitations. In American Society of Mechanical Engineers, Applied Mechanics Division, AMD (Vol. 192, pp. 275-282). ASME.

On the approximation of dynamical systems subjected to strong parametric excitations. / Pandiyan, R.; Butcher, Eric; Sinha, S. C.

American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 192 ASME, 1994. p. 275-282.

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

Pandiyan, R, Butcher, E & Sinha, SC 1994, On the approximation of dynamical systems subjected to strong parametric excitations. in American Society of Mechanical Engineers, Applied Mechanics Division, AMD. vol. 192, ASME, pp. 275-282, Proceedings of the 1994 International Mechanical Engineering Congress and Exposition, Chicago, IL, USA, 11/6/94.
Pandiyan R, Butcher E, Sinha SC. On the approximation of dynamical systems subjected to strong parametric excitations. In American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 192. ASME. 1994. p. 275-282
Pandiyan, R. ; Butcher, Eric ; Sinha, S. C. / On the approximation of dynamical systems subjected to strong parametric excitations. American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 192 ASME, 1994. pp. 275-282
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