Resonance Responses of Geometrically Imperfect Functionally Graded Extensible Microbeams

Ghayesh, Mergen H., Farokhi, Hamed, Gholipour, Alireza, Hussain, Shahid and Arjomandi, Maziar (2017) Resonance Responses of Geometrically Imperfect Functionally Graded Extensible Microbeams. Journal of Computational and Nonlinear Dynamics, 12 (5). 051002. ISSN 1555-1415

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Official URL: http://dx.doi.org/10.1115/1.4035214

Abstract

This paper aims at analyzing the size-dependent nonlinear dynamical behavior of a geometrically imperfect microbeam made of a functionally graded (FG) material, taking into account the longitudinal, transverse, and rotational motions. The size-dependent property is modeled by means of the modified couple stress theory, the shear deformation and rotary inertia are modeled using the Timoshenko beam theory, and the graded material property in the beam thickness direction is modeled via the Mori - Tanaka homogenization technique. The kinetic and size-dependent potential energies of the system are developed as functions of the longitudinal, transverse, and rotational motions. On the basis of an energy method, the continuous models of the system motion are obtained. Upon application of a weighted-residual method, the reduced-order model is obtained. A continuation method along with an eigenvalue extraction technique is utilized for the nonlinear and linear analyses, respectively. A special attention is paid on the effects of the material gradient index, the imperfection amplitude, and the length-scale parameter on the system dynamical response.

Item Type: Article
Subjects: H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Paul Burns
Date Deposited: 14 Aug 2018 11:47
Last Modified: 14 Aug 2018 11:47
URI: http://nrl.northumbria.ac.uk/id/eprint/35327

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