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Analytical solution for large amplitude vibrations of microbeams actuated by an electro-static force

Baghani, M ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. Publisher: Sharif University of Technology , 2013
  3. Abstract:
  4. An analytical study using Variational Iteration Method (VIM) is carried out in order to investigate the vibrations of electro-statically actuated double-clamped and simply-supported microbeams. Effects of applied voltage and residual axial load on the nonlinear natural frequency and deflection of the microbeams are studied. It shows that pre-compression in microbeams increases the amplitude of deflections for a specific applied voltage. Also, an increase in pre-tension motivates the microbeam to show more nonlinear behavior in an applied voltage. Predicted results are compared with the experimental data available in the literature and also with numerical results which shows a good agreement. It is concluded that the second order approximation of the VIM leads to highly accurate solutions which are valid for a wide range of vibration amplitudes
  5. Keywords:
  6. Vibration analysis ; Accuracy assessment ; Variational Iteration Method ; Vibration ; Iterative methods ; Analytical studies ; Large amplitude vibrations ; Micro beams ; Second-order approximation ; Vibration amplitude ; Micro-beam ; Nonlinear ; Amplitude ; Analytical framework ; Compression ; Damping ; Deflection ; Experimental design ; Loading test ; Nonlinearity ; Radiative transfer ; Residual strength
  7. Source: Scientia Iranica ; Volume 20, Issue 5 , 2013 , Pages 1499-1507 ; 10263098 (ISSN)
  8. URL: http://www.scientiairanica.com/en/ManuscriptDetail?mid=39