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Investigation of Casimir and Van der Waals forces for a nonlinear double-clamped beam using homotopy perturbation method

Mojahedi, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2009-12503
  3. Abstract:
  4. 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
  5. Keywords:
  6. Van der Waals force ; Algebra ; Axial loads ; Chemical bonds ; Control nonlinearities ; Equations of motion ; Mechanical engineering ; Nonlinear equations ; Quantum theory ; Stability ; Van der Waals forces ; Axial loading ; Casimir ; Casimir force ; Clamped beams ; Decomposition methods ; Design parameters ; Electric force ; Electrostatic field ; Fringing field effects ; Galerkin ; Homotopy perturbation method ; Intermolecular forces ; Nano-switches ; Non-linearity ; Nonlinear algebraic equations ; Nonlinear differential equation ; Pull-in instability ; Static deflections ; Static response ; Perturbation techniques
  7. Source: ASME International Mechanical Engineering Congress and Exposition, Proceedings, 13 November 2009 through 19 November 2009 ; Volume 12, Issue PART A , 2010 , Pages 487-494 ; 9780791843857 (ISBN)
  8. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1642822