Published in: فصلنامه مکانیک جامد، دوره: 10، شماره: 1
COI code: JR_JSMA-10-1_008
Paper Language: English
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Authors Nonlinear Dynamic Analysis of Cracked Micro-Beams Below and at the Onset of Dynamic Pull-In InstabilityR Hassannejad - Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran
Sh Amiri Jahed - Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran
Abstract:In this paper, the effect of the crack on dynamic behavior of cracked micro-beam in the presence of DC and AC loads are investigated. By applying the residual axial stress and fringing field stress, a nonlinear analytical model of cracked micro-beam is presented and crack is modeled by a massless rotational spring. The governing equation of the system is solved using Galerkin procedure and shooting method. The equilibria curve and dynamic response of cracked cantilever and clamped-clamped micro-beam are extracted below and at the onset of the dynamic pull-in instability. The results show that the behavior of cracked micro-beam is different from ordinary cracked beam due to nonlinear effects. For a fixed relative crack location, increasing the crack depth causes increasing in the resonance amplitude and reduction in the resonance frequency below dynamic pull-in instability. Also, in cracked cantilever micro-beams, by approaching the crack to fixed end, the resonance frequency reduces and the resonance amplitude increases. In cracked clamped-clamped micro-beam, trend of variations of resonance frequency and resonance amplitude against the crack location is not regular. At the onset pull-in instability, the presence of the crack causes cyclic-fold bifurcation points to appear at the lower frequency. Therefore, it causes early pull-in phenomenon or unwanted abrupt change at the micro-beam behavior. The achievement of this study is simulation of the response of the faulty low-voltage switch and MEMS resonators for different severity of crack at the onset of dynamic pull-in phenomenon.
Keywords:Micro-electromechanical systems, Crack, Pull-in phenomenon, Nonlinear dynamics, Bellow and at the onset of pull-in instability
COI code: JR_JSMA-10-1_008
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Hassannejad, R & Sh Amiri Jahed, 2018, Nonlinear Dynamic Analysis of Cracked Micro-Beams Below and at the Onset of Dynamic Pull-In Instability, Journal of Solid Mechanics 10 (1), https://www.civilica.com/Paper-JR_JSMA-JR_JSMA-10-1_008.htmlInside the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (Hassannejad, R & Sh Amiri Jahed, 2018)
Second and more: (Hassannejad & Amiri Jahed, 2018)
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Type: state university
Paper No.: 17093
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