Global dynamics of imperfect axially forced microbeams

Ghayesh, Mergen H. and Farokhi, Hamed (2017) Global dynamics of imperfect axially forced microbeams. International Journal of Engineering Science, 115. pp. 102-116. ISSN 0020-7225

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Abstract

This paper, for the first time, analyses the size-dependent global dynamics of imperfect axially forced microbeams and shows that how a small initial imperfection (due to improper manufacturing of microbeams) can substantially change the size-dependent global dynamical behaviour of the microsystem; moreover, it investigates the effect of small size of the microbeam on the appearance and vanishing of different chaotic and quasiperiodic motions. More specifically, the continuous expressions for the size-dependent potential energy as well as kinetic energy of the microsystem are constructed and dynamically balanced via an energy method. A transformation to a reduced-order model is performed via a weighted-residual method. The bifurcation diagrams of Poincaré maps are constructed by means of direct time-integrating the reduced-order model for the imperfect microsystem. Poincaré sections, phase-plane diagrams, time histories, and fast Fourier transforms are also plotted for some cases in order to shed light on the microsystem size-dependent global dynamics.

Item Type:	Article
Uncontrolled Keywords:	Microbeam; Size-dependent; Global dynamics; Axial force; Modified couple stress theory
Subjects:	H300 Mechanical Engineering
Department:	Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User:	Paul Burns
Date Deposited:	22 Aug 2018 13:23
Last Modified:	11 Oct 2019 19:30
URI:	http://nrl.northumbria.ac.uk/id/eprint/35441

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