Loading...

Application of the extended kantorovich method to the static deflection of microplates under capillary force

Moeenfard, H ; Sharif University of Technology | 2010

498 Viewed
  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2010-39517
  3. Publisher: 2010
  4. Abstract:
  5. The aim of this paper is to apply an Extended Kantorovich method (EKM) to simulate the static deflection of microplates under capillary force. The model accounts for the capillary 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 effects of capillary force on the pull-in phenomenon of microplates are delineated in some figures. 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
  6. Keywords:
  7. Accurate design ; Capillary force ; Design optimization ; Extended Kantorovich method ; Galerkin approximations ; Pull-in phenomenon ; Rapid convergence ; Static deflections ; Control nonlinearities ; Mechanical engineering ; Optimization ; Iterative methods
  8. Source: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), 12 November 2010 through 18 November 2010 ; Volume 10 , November , 2010 , Pages 113-119 ; 9780791844472 (ISBN)
  9. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1616816