Global bifurcations in periodically excited shallow arch structures

N. Malhotra, N. Sri Namachchivaya

Research output: Contribution to conferencePaper

Abstract

The global dynamics of a shallow arch structure subjected to a spatially and temporally varying force is investigated under the conditions of principal subharmonic resonance and one-to-one internal resonance near single mode periodic motions. Here we examine the effect of small perturbations arising due to periodic excitation and dissipative forces on the associated global dynamics. We use a perturbation technique developed by [2] to show the existence of Silnikov type homoclinic orbit to a fixed point in the perturbed system, and consequently the chaotic behavior in the shallow arch system is resulted.

Original languageEnglish (US)
Pages742-745
Number of pages4
StatePublished - Jan 1 1995
EventProceedings of the 10th Conference on Engineering Mechanics. Part 1 (of 2) - Boulder, CO, USA
Duration: May 21 1995May 24 1995

Other

OtherProceedings of the 10th Conference on Engineering Mechanics. Part 1 (of 2)
CityBoulder, CO, USA
Period5/21/955/24/95

ASJC Scopus subject areas

  • Architecture
  • Civil and Structural Engineering

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    Malhotra, N., & Sri Namachchivaya, N. (1995). Global bifurcations in periodically excited shallow arch structures. 742-745. Paper presented at Proceedings of the 10th Conference on Engineering Mechanics. Part 1 (of 2), Boulder, CO, USA, .