Electro-dynamic behavior of an electrically actuated micro-beam: Effects of initial curvature and nonlinear deformation

Authors:
J. Yang;Y. J. Hu;S. Kitipornchai
Affiliations:
School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, P.O. Box 71, Bundoora, VIC 3083, Australia;College of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon, Hong Kong
Venue:
Computers and Structures
Year:
2012

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Abstract

This paper presents a curved beam model for the nonlinear electro-dynamic analysis of micro-beams with initial curvature, taking into account the nonlinear electric force and nonlinear deformation. The governing equations of motion and boundary conditions are derived in an arc coordinate system. Unlike previous studies based on von Karman nonlinearity or considering mid-plane stretching only, the present study does not involve any assumptions on nonlinear deformation. Differential quadrature method and Petzold-Gear BDF method are employed to obtain the nonlinear electro-dynamic behavior of curved micro-beams. The effects of nonlinear deformation, initial gap and initial rise on the nonlinear electro-dynamic characteristics are studied.