Scientia Iranica

Scientia Iranica

Thermally induced vibration of an electro-statically deflected functionally graded micro-beam considering thermo-elastic coupling effect

Authors
Ilgar Jafarsadeghi-pournaki
Ghader Rezazadeh
Mohammadreza Zamanzadeh
Rasool Shabani
Mechanical Engineering Department, Urmia University, Urmia, Iran
Abstract
This study investigates the dynamic response of an electrostatically deflected capacitive cantilever functionally graded (FG) micro-beam subjected to a harmonically varying thermal load, which is incited vibration due to different material properties of the beam constituents and thermo-elastic coupling effect. The FG beam is made of mixture of metal and ceramic where the material properties vary continuously through the thickness according to an exponential distribution law (E-FGM).Assuming the Euler-Bernoulli beam theory and the infinite speed of heat transportation, the equation of motion and the conventional coupled energy equation are derived. Applying Galerkin formulation and then using Rung-kutta method as an efficient numerical tool,these equations are simultaneously solved. Changing the ceramic constituent percentage of the bottom surface, five different types of FGM micro-beams are investigated and results are presented for all types.Numerical results are shown the response of a cantilever FG micro-beam subjected to a harmonically varying temperature input. Moreover, the influences of the beam ceramic constituent percentage on the stability, vibrational behavior and natural frequency are presented.
Keywords
Thermally induced vibration
FGM
thermo-elastic coupling
electrostatic load
Scientia Iranica
Volume 21, Issue 3
Transactions on Mechanical Engineering (B)
June 2014
Pages 647-662

  • Receive Date 30 December 2013
  • Accept Date 27 July 2017