- International Journal of Engineering and Applied Sciences
- Volume:4 Issue:4
- NUMERICAL STUDY ON PULL-IN INSTABILITY ANALYSIS OF GEOMETRICALLY NONLINEAR EULER-BERNOULLI MICRO BEA...
NUMERICAL STUDY ON PULL-IN INSTABILITY ANALYSIS OF GEOMETRICALLY NONLINEAR EULER-BERNOULLI MICRO BEAM BASED ON MODIFIED COUPLE STRESS THEORY
Authors : Y Tadi Beni, M Heidari
Pages : 41-53
View : 34 | Download : 8
Publication Date : 2012-12-01
Article Type : Research Paper
Abstract :In this paper, the static pull-in instability of beam-type micro-electromechanical systems insert ignore into journalissuearticles values(MEMS); is theoretically investigated. Two engineering cases including cantilever and double cantilever micro-beam are considered. Considering the mid-plane stretching as the source of the nonlinearity in the beam behavior, a nonlinear sizedependent Euler-Bernoulli beam model is used based on a modified couple stress theory, capable of capturing the size effect. By selecting a range of geometric parameters such as beam lengths, width, thickness, gaps and size effect, we identify the static pull-in instability voltage. A MAPLE package is employed to solve the nonlinear differential governing equations to obtain the static pull-in instability voltage of microbeams. The results reveal significant influences of size effect and geometric parameters on the static pull-in instability voltage of MEMSKeywords : Nonlinear microbeam, modified couple stress theory, static pull in instability, size effects
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