Subcritical parametric dynamics of microbeams

Ghayesh, Mergen H., Farokhi, Hamed and Alici, Gursel (2015) Subcritical parametric dynamics of microbeams. International Journal of Engineering Science, 95. pp. 36-48. ISSN 0020-7225

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Official URL: http://dx.doi.org/10.1016/j.ijengsci.2015.06.001

Abstract

The aim of this paper is to analyse the size-dependent nonlinear parametric dynamics of microbeams; the source of parametric excitation is a time-dependent longitudinal excitation load. Taking into account small-size effects, via the modified couple stress theory, the expressions for the potential and kinetic energies of the system are developed. A multi-degree-of-freedom discretised system is obtained by transforming the continuous model into a reduced-order one via the Galerkin scheme. For the system in the subcritical mean axial load regime, the parametric response is obtained via two different numerical techniques; first one is based on a continuation technique and the second one is via a direct time-integration method. A stability analysis is also conducted via the Floquet theory. Results for the nonlinear parametric response are illustrated in the form of parametric frequency-response diagrams, parametric force-response curves, time histories, phase-plane portraits, fast Fourier transforms (FFTs), and Poincaré maps. The effect of taking into account the length-scale parameter on the parametric response of the system is also highlighted.

Item Type: Article
Uncontrolled Keywords: Parametric excitation; Microbeam; Modified couple stress theory; Subcritical
Subjects: H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Paul Burns
Date Deposited: 24 Aug 2018 12:14
Last Modified: 24 Aug 2018 12:14
URI: http://nrl.northumbria.ac.uk/id/eprint/35485

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