Large-amplitude dynamics of a functionally graded microcantilever with an intermediate spring-support and a point-mass

Ghayesh, Mergen H., Farokhi, Hamed and Gholipour, Alireza (2017) Large-amplitude dynamics of a functionally graded microcantilever with an intermediate spring-support and a point-mass. Acta Mechanica, 228 (12). pp. 4309-4323. ISSN 0001-5970

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Abstract

Numerical modelling and simulations are conducted on the large-amplitude dynamics of a functionally graded microcantilever with a tip-mass, additionally supported by an intermediate spring; the functionally graded microsystem is subject to a base excitation. Since one end of the microsystem is free to move, it undergoes large deformation; curvature-related nonlinearities play an important role. Taking into account this type of nonlinearity, using the Mori–Tanaka homogenisation scheme, as well as the modified couple stress theory, an energy technique is employed to derive the nonlinearly coupled equations for the longitudinal and transverse motions. An inextensibility assumption is applied for the functionally graded microcantilever, and hence, a nonlinear equation of motion for the transverse motion involving inertial (apart from stiffness) nonlinearity is obtained. For the functionally graded microsystem considered, effects of the length-scale parameter, the material gradient index, the tip-mass, and the stiffness of the spring-support on the nonlinear resonant responses are highlighted by means of a Houbolt’s finite difference scheme together with Newton–Raphson method.

Item Type:	Article
Subjects:	H300 Mechanical Engineering
Department:	Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User:	Paul Burns
Date Deposited:	13 Aug 2018 15:36
Last Modified:	11 Oct 2019 19:45
URI:	http://nrl.northumbria.ac.uk/id/eprint/35302

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