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Semi-analytic solutions to nonlinear vibrations of microbeams under suddenly applied voltages

Moghimi Zand, M ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jsv.2009.03.023
  3. Publisher: 2009
  4. Abstract:
  5. In this study, nonlinear oscillations of microbeams, actuated by suddenly applied electrostatic force, are investigated. Effects of electrostatic actuation, residual stress, midplane stretching and fringing fields are considered in modeling. Galerkin's decomposition method is utilized to convert the governing nonlinear partial differential equation to a nonlinear ordinary differential equation. Homotopy analysis method is used to find semi-analytic solutions to the vibrations of microbeams. Convergence regions of the solution series are determined. Influences of increasing the voltage and midplane stretching on the frequency of vibrations are also studied. Results are in good agreement with numerical and experimental findings. © 2009 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Analytic solution ; Applied voltages ; Convergence region ; Decomposition methods ; Electrostatic actuation ; Fringing fields ; Galerkin ; Homotopy analysis methods ; Micro beams ; Non-linear vibrations ; Nonlinear ordinary differential equation ; Nonlinear oscillation ; Nonlinear partial differential equations ; Electrostatic actuators ; Electrostatics ; Ordinary differential equations ; Partial differential equations ; Nonlinear equations
  8. Source: Journal of Sound and Vibration ; Volume 325, Issue 1-2 , 2009 , Pages 382-396 ; 0022460X (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0022460X0900248X