Thermo-electrical buckling of piezoelectric functionally graded material Timoshenko beams |
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Authors: | Y Kiani M Rezaei S Taheri M R Eslami |
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Affiliation: | (1) Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran;(2) Mechanical Engineering Department, Islamic Azad University, South Tehran branch, Tehran, Iran |
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Abstract: | In this article, buckling analysis of functionally graded material (FGM) beams with or without surface-bonded piezoelectric
layers subjected to both thermal loading and constant voltage is studied. Thermal and mechanical properties of FGM layer is
assumed to follow the power law distribution in thickness direction, except Poisson’s ratio which is considered constant.
The Timoshenko beam theory and nonlinear strain-displacement relations are used to obtain the governing equations of piezoelectric
FGM beam. Beam is assumed under three types of thermal loading and various types of boundary conditions. For each case of
boundary conditions, existence of bifurcation-type buckling is examined and for each case of thermal loading and boundary
conditions, closed-form solutions are obtained which are easily usable for engineers and designers. The effects of the applied
actuator voltage, beam geometry, boundary conditions, and power law index of FGM beam on critical buckling temperature difference
are examined. |
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Keywords: | |
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