Nonlinear structural vibrations of a multi-degree-of-freedom system under combined external and parametric excitations

A. Sueoka, T. Kondou, T. Tanaka

Research output: Contribution to journalConference article

Abstract

This paper deals with the nonlinear steady-state responses of a multi-degree-of-freedom system to combined forcing and parametric excitations. The governing equation is represented by a generalized Duffing type equation which describes the nonlinear vibrations with large amplitudes of structural and mechanical systems. The nonlinear responses are computed by using the method of harmonic balance and their stabilities are determined from the infinitesimal stability criterion. A fine agreement between experimental and analytical results was confirmed, and the effect of the clearances between adjacent structural elements was also examined experimentally in a roller chain system as an example.

Original languageEnglish
Pages (from-to)103-108
Number of pages6
JournalAmerican Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP
Volume179
Publication statusPublished - Dec 1 1989
EventSeismic Engineering - 1989: Design, Analysis, Testing, and Qualification Methods - Honolulu, HI, USA
Duration: Jul 23 1989Jul 27 1989

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Stability criteria
vibration
freedom
effect
method

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

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N2 - This paper deals with the nonlinear steady-state responses of a multi-degree-of-freedom system to combined forcing and parametric excitations. The governing equation is represented by a generalized Duffing type equation which describes the nonlinear vibrations with large amplitudes of structural and mechanical systems. The nonlinear responses are computed by using the method of harmonic balance and their stabilities are determined from the infinitesimal stability criterion. A fine agreement between experimental and analytical results was confirmed, and the effect of the clearances between adjacent structural elements was also examined experimentally in a roller chain system as an example.

AB - This paper deals with the nonlinear steady-state responses of a multi-degree-of-freedom system to combined forcing and parametric excitations. The governing equation is represented by a generalized Duffing type equation which describes the nonlinear vibrations with large amplitudes of structural and mechanical systems. The nonlinear responses are computed by using the method of harmonic balance and their stabilities are determined from the infinitesimal stability criterion. A fine agreement between experimental and analytical results was confirmed, and the effect of the clearances between adjacent structural elements was also examined experimentally in a roller chain system as an example.

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