Modal interactions in primary and subharmonic resonant dynamics of imperfect microplates with geometric nonlinearities

Hamed Farokhi, Mergen H. Ghayesh*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

This paper analyses the modal interactions in the nonlinear, size-dependent dynamics of geometrically imperfect microplates. Based on the modified couple stress theory, the equations of motion for the in-plane and out-of-plane motions are obtained employing the von Kármán plate theory as well as Kirchhoff’s hypotheses by means of the Lagrange equations. The equations of motions are solved using the pseudo-arclength continuation technique and direct time-integration method. The system parameters are tuned to the values associated with modal interactions, and then nonlinear resonant responses and energy transfer are analysed. Nonlinear motion characteristics are shown in the form of frequency-response and force-response curves, time histories, phase-plane portraits, and fast Fourier transforms.

Original languageEnglish
Pages (from-to)469-480
Number of pages12
JournalActa Mechanica Sinica/Lixue Xuebao
Volume32
Issue number3
Early online date7 Dec 2015
DOIs
Publication statusPublished - 1 Jun 2016

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