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Acta Mechanica Solida Sinica

, Volume 26, Issue 2, pp 205–220 | Cite as

On the Stability of a Functionally Graded Rectangular Micro-Plate Subjected to Hydrostatic and Nonlinear Electrostatic Pressures

  • Adel Nabian
  • Ghader Rezazadeh
  • Morteza Almassi
  • Ali-Mohammad Borgheei
Article

Abstract

This article studies the stability of a functionally graded clamped-clamped microplate subjected to hydrostatic and electrostatic pressures. Equilibrium positions of the micro-plate are determined and shown in the state control space. To study the stability of the equilibrium positions, the motion trajectories are given for different initial conditions in the phase plane. Effects of the electrostatic and hydrostatic pressure changes on the deflection and stability of the micro-plate for some sample value of k are studied and values of the applied voltage and hydrostatic pressure leading system to unstable conditions by undergoing a saddle node and homoclinic bifurcations are determined.

Key words

MEMS FGM stability micro-plate electrostatic hydrostatic pressure 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2013

Authors and Affiliations

  • Adel Nabian
    • 1
  • Ghader Rezazadeh
    • 2
  • Morteza Almassi
    • 1
  • Ali-Mohammad Borgheei
    • 1
  1. 1.Department of Agricultural Machinery Engineering, Science and Research BranchIslamic Azad UniversityTehranIran
  2. 2.Department of Mechanical EngineeringUrmia UniversityUrmiaIran

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