Chaotic motion of shallow arch structures under 1:1 internal resonance

N. Malhotra, N. Sri Namachchivaya

Research output: Contribution to journalArticlepeer-review


The present study investigates the global bifurcations present in the motion of the shallow arch structure subjected to a spatially and temporally varying load under the conditions of principal subharmonic resonance and one-to-one internal resonance near single-mode periodic motions. Unlike the case examined in a companion paper by the writers, the effect of dissipation is also included in the present study of the global dynamics. By using a perturbation technique attributed to Kovačič and Wiggins we show the existence of Silnikov-type homoclinic orbit to a saddle-focus fixed point in the perturbed system, and consequently the chaotic behavior. The results are also interpreted in terms of the physical dynamics of the shallow arch system.

Original languageEnglish (US)
Pages (from-to)620-627
Number of pages8
JournalJournal of Engineering Mechanics
Issue number6
StatePublished - Jun 1997
Externally publishedYes

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering


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