Free vibration of geometrically nonlinear micro-switches under electrostatic and Casimir forces

Jia, X. L., Yang, J., Kitipornchai, S. and Lim, C. W. (2010) Free vibration of geometrically nonlinear micro-switches under electrostatic and Casimir forces. Smart Materials and Structures, 19 11: . doi:10.1088/0964-1726/19/11/115028

Author Jia, X. L.
Yang, J.
Kitipornchai, S.
Lim, C. W.
Title Free vibration of geometrically nonlinear micro-switches under electrostatic and Casimir forces
Journal name Smart Materials and Structures   Check publisher's open access policy
ISSN 0964-1726
Publication date 2010
Year available 2010
Sub-type Article (original research)
DOI 10.1088/0964-1726/19/11/115028
Open Access Status
Volume 19
Issue 11
Total pages 13
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing Ltd.
Collection year 2010
Language eng
Subject 1711 Signal Processing
2208 Electrical and Electronic Engineering
3107 Atomic and Molecular Physics, and Optics
2205 Civil and Structural Engineering
3104 Condensed Matter Physics
2211 Mechanics of Materials
2500 Materials Science
Abstract This paper investigates the free vibration characteristics of micro-switches under combined electrostatic, intermolecular forces and axial residual stress, with an emphasis on the effect of geometric nonlinear deformation due to mid-plane stretching and the influence of Casimir force. The micro-switch considered in this study is made of either homogeneous material or non-homogeneous functionally graded material with two material phases. The Euler-Bernoulli beam theory with von Karman type nonlinear kinematics is applied in the theoretical formulation. The principle of virtual work is used to derive the nonlinear governing differential equation. The eigenvalue problem which describes free vibration of the micro-beam at its statically deflected state is then solved using the differential quadrature method. The natural frequencies and mode shapes of micro-switches for four different boundary conditions (i.e. clamped-clamped, clamped-simply supported, simply supported and clamped-free) are obtained. The solutions are validated through direct comparisons with experimental and other existing results reported in previous studies. A parametric study is conducted to show the significant effects of geometric nonlinearity, Casimir force, axial residual stress and material composition for the natural frequencies.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
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Created: Wed, 29 Oct 2014, 11:49:12 EST by Jeannette Watson on behalf of School of Civil Engineering