Paper Information

Journal:   SCIENTIA IRANICA   2014 , Volume 21 , Number 3 (TRANSACTIONS B: MECHANICAL ENGINEERING); Page(s) 647 To 662.
 
Paper: 

THERMALLY INDUCED VIBRATION OF AN ELECTRO-STATICALLY DEFLECTED FUNCTIONALLY GRADED MICRO-BEAM CONSIDERING THERMO-ELASTIC COUPLING EFFECT

 
 
Author(s):  JAFARSADEGHI POURNAKI I., REZAZADEH G.*, ZAMANZADEH M.R., SHABANI R.
 
* DEPARTMENT OF MECHANICAL ENGINEERING, URMIA UNIVERSITY, URMIA, IRAN
 
Abstract: 

This study investigates the dynamic response of an electrostatically defected capacitive cantilever Functionally Graded (FG) micro-beam subjected to a harmonically varying thermal load, which incites vibration due to the different material properties of the beam constituents and the thermo-elastic coupling effect. The FG beam is made of a 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 the 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 the results are presented for all types. Numerical results show the response of a cantilever FG microbeam subjected to a harmonically varying temperature input. Moreover, the influences of the beam ceramic constituent percentage on stability, vibrational behavior and natural frequency are presented.

 
Keyword(s): THERMALLY INDUCED VIBRATION, FGM, THERMO-ELASTIC COUPLING, ELECTROSTATIC LOAD
 
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