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Investigation of Casimir and Van der Waals Forces for a Nonlinear Double-Clamped Beam Using Homotopy Perturbation Method

[+] Author Affiliations
Mahdi Mojahedi, Hamid Moeenfard, Mohammad Taghi Ahmadian

Sharif University of Technology, Tehran, Iran

Paper No. IMECE2009-12503, pp. 487-494; 8 pages
doi:10.1115/IMECE2009-12503
From:
  • ASME 2009 International Mechanical Engineering Congress and Exposition
  • Volume 12: Micro and Nano Systems, Parts A and B
  • Lake Buena Vista, Florida, USA, November 13–19, 2009
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4385-7 | eISBN: 978-0-7918-3863-1
  • Copyright © 2009 by ASME

abstract

In this study, static deflection and Instability of double-clamped nanobeams actuated by electrostatic field and intermolecular force, are investigated. The model accounts for the electric force nonlinearity of the excitation and for the fringing field effect. Effects of mid-plane stretching and axial loading are considered. Galerkin’s decomposition method is utilized to convert the nonlinear differential equation of motion to a nonlinear algebraic equation which is solved using the homotopy perturbation method. The effect of the design parameters such as axial load and mid-plane stretching on the static responses and pull-in instability is discussed. Results are in good agreement with presented in the literature.

Copyright © 2009 by ASME

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