Large-amplitude dynamical behaviour of microcantilevers

Farokhi, Hamed, Ghayesh, Mergen H. and Hussain, Shahid (2016) Large-amplitude dynamical behaviour of microcantilevers. International Journal of Engineering Science, 106. pp. 29-41. ISSN 0020-7225

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Abstract

This paper aims at analysing the nonlinear size-dependent dynamics of a microcantilever based on the modified couple stress theory. Since one end of the microcantilever is free to move, the system undergoes large deformations; this necessitates the application of a nonlinear theory which is capable of taking into account curvature-related and inertial-related nonlinearities. The expressions for the kinetic and potential energies are developed on the basis of the modified couple stress theory. The energy terms are balanced by the work of a base excitation by means of Hamilton's principle, yielding the continuous model for the system motion. Based on a weighted-residual method, this continuous model is reduced and then solved via an eigenvalue analysis (for the linear analysis) and a continuation method (for the nonlinear analysis); stability analysis is performed via the Floquet theory. It is shown that each source of nonlinearity, in the presence of the length-scale parameter, has a significant effect on the system dynamics.

Item Type:	Article
Uncontrolled Keywords:	Microcantilever; 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:	24 Aug 2018 11:03
Last Modified:	11 Oct 2019 19:30
URI:	http://nrl.northumbria.ac.uk/id/eprint/35477

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