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

Farokhi, Hamed and Ghayesh, Mergen H. (2016) Modal interactions in primary and subharmonic resonant dynamics of imperfect microplates with geometric nonlinearities. Acta Mechanica Sinica, 32 (3). pp. 469-480. ISSN 0567-7718

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Official URL: http://dx.doi.org/10.1007/s10409-015-0536-0

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.

Item Type: Article
Uncontrolled Keywords: Modal interactions, Microplate, Size-dependent dynamics, Modified couple stress theory, Stability
Subjects: H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Paul Burns
Date Deposited: 23 Aug 2018 17:01
Last Modified: 23 Aug 2018 17:01
URI: http://nrl.northumbria.ac.uk/id/eprint/35465

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