On the nonlinear mechanics of layered microcantilevers

Ghayesh, Mergen H., Farokhi, Hamed, Gholipour, Alireza and Hussain, Shahid (2017) On the nonlinear mechanics of layered microcantilevers. International Journal of Engineering Science, 120. pp. 1-14. ISSN 0020-7225

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Official URL: http://dx.doi.org/10.1016/j.ijengsci.2017.06.012

Abstract

The nonlinear mechanics of three-layered microcantilevers under base excitation is investigated numerically. Employing the modified version of the couple stress-based theory, together with the Bernoulli-Euler beam theory, the potential energy of the three-layered microsystem is derived, while accounting for size effects. Obtaining the kinetic energy, the equations of motion in the longitudinal and transverse directions are derived via Hamilton's principle. Application of the inextensibility condition reduces the two equations of motion to one nonlinear integro-partial differential equation for the transverse oscillation, consisting of geometrical and inertial nonlinearities. The nonlinear equation of partial-differential type is reduced to set of equations of ordinary-differential type through use of a weighted-residual method. Solving the resultant set of discretised equations via a continuation technique gives the frequency-amplitude and force-amplitude responses of the microsystem. The nonlinear response is investigated for different layer composition and different layer thicknesses. The effect of small-scale parameter, as well as base excitation amplitude, is also examined.

Item Type: Article
Uncontrolled Keywords: Layered microcantilever; Nonlinear resonance; Numerical simulation; Microsystem; Size effects
Subjects: H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Paul Burns
Date Deposited: 14 Aug 2018 09:34
Last Modified: 14 Aug 2018 09:34
URI: http://nrl.northumbria.ac.uk/id/eprint/35315

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