Parametric vibrations of imperfect Timoshenko microbeams

Mergen H. Ghayesh*, Hamed Farokhi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


This paper examines the size-dependent nonlinear parametric vibrations of imperfect Timoshenko microbeams subject to a time-dependent axial load. Taking into account rotary inertia and shear deformation, the modified couple stress theory is employed so as to derive a continuous expression for the elastic potential energy of the system; the geometric imperfection is modelled via a small initial deflection in the transverse direction. The continuous model of the system is obtained via an energy balance method. A reduced-order model is obtained by means of a weighted residual method together with an assumed-mode technique. The double-dimensionalised form of the reduced-order model is solved by means of different numerical techniques and stability is analysed. It is shown that even small geometric imperfections may change the parametric response of the system not only quantitatively, but also qualitatively.

Original languageEnglish
Pages (from-to)4917-4929
Number of pages13
JournalMicrosystem Technologies
Issue number10
Early online date27 Mar 2017
Publication statusPublished - 1 Oct 2017


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