Loading...

Application of the extended kantorovich method to the vibrational analysis of electrically actuated microplates

Behzad, M ; Sharif University of Technology

855 Viewed
  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2009-12186
  3. Abstract:
  4. This paper presents an extended Kantorovich approach to investigate the vibrational behavior of electrically actuated rectangular microplates. The model accounts for the electric force of the excitation and for the applied in plane loads. Starting from a one term Galerkin approximation and following the extended Kantorovich procedure, the partial differential equation governing the microplate vibration, is discretized to two ordinary differential equation with constant coefficients. These equations are then solved analytically and iteratively with a rapid convergence procedure for finding microplate natural frequencies and modeshapes. Results in some specific cases are validated against other theoretical results reported in the literature. It is shown that rapid convergence, high precision and independency of initial guess function make the EKM an effective and accurate design tool for design optimization
  5. Keywords:
  6. Fundamental natural frequency ; Microplate ; Vibration ; Damping ; Electric furnaces ; Electrostatic actuators ; Electrostatics ; Mechanical engineering ; Natural frequencies ; Optimization ; Ordinary differential equations ; Accurate design ; Constant coefficients ; Design optimization ; Electric force ; Electrostatic actuation ; Extended Kantorovich method ; Galerkin approximations ; High precision ; In-plane loads ; Initial guess ; Microplates ; Mode shapes ; Rapid convergence ; Theoretical result ; Vibrational analysis ; Vibrational behavior ; Vibration analysis
  7. Source: ASME International Mechanical Engineering Congress and Exposition, Proceedings, 13 November 2009 through 19 November 2009 ; Volume 12, Issue PART A , 2010 , Pages 165-172 ; 9780791843857 (ISBN)
  8. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1642561