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Application of the extended kantorovich method to the static deflection of electrically actuated microplates

Ahmadian, M. T ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2008-66062
  3. Publisher: 2009
  4. Abstract:
  5. The aim of this paper is to present an Extended Kantorovich approach to simulate the static deflection of microplates under electrostatic voltage. The model accounts for the electric force nonlinearity of the excitation. Starting from a one term Galerkin approximation and following the Extended Kantorovich procedure, the equations governing the microplate deflection are obtained. These equations are then solved iteratively with a rapid convergence procedure to yield the desired solution. The results are validated, comparing them with other theoretical results and experimental findings, reported in the literature. It is shown that rapid convergence, high precision and independency of initial guess function makes the EKM an effective and accurate design tool for design optimization. Copyright © 2008 by ASME
  6. Keywords:
  7. Accurate design ; Design optimization ; Electric force ; Electrostatic voltage ; Extended kantorovich method ; Galerkin approximations ; High precision ; Initial guess ; Microplates ; Non-Linearity ; Rapid convergence ; Static deflections ; Theoretical result ; Mechanical engineering ; Optimization ; Control nonlinearities
  8. Source: 2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008, Boston, MA, 31 October 2008 through 6 November 2008 ; Volume 13, Issue PART A , 2009 , Pages 325-331 ; 9780791848746 (ISBN)
  9. URL: https://asmedigitalcollection.asme.org/IMECE/proceedings-abstract/IMECE2008/48746/325/339069