AN INVESTIGATION ON THE BUCKLING ANALYSIS OF SMART FUNCTIONALLY GRADED CIRCULAR PLATE WITH PIEZOELECTRIC PROPERTIES UNDER OUT OF PLANE PERIODIC ELECTRIC FIELD AND UNIFORM RADIAL COMPRESSIVE EDGE LOADING

F. Ebrahimi

Abstract


The buckling analysis of a solid circular functionally graded piezoelectric plate subjected to the uniform radial compressive edge loading and an out of plane periodic electric field is presented. The material properties of the FGPM plate are assumed to vary continuously through the thickness of the plate according to a power law distribution of the volume fraction of the constituent materials. The general mechanical nonlinear equilibrium and stability equations are derived using the variational formulations to obtain the governing equations of the smart FG plate and dynamic instability regions are obtained employing the Bolotin’s method. Several important aspects such as applied electric field, mechanical loading and different plate thickness ratios as well as the FG volume fraction exponent which have impacts on critical buckling load and free vibration frequency rate of piezoelectric circular plate are investigated and discussed in detail. Numerical results are tabulated in several tables and figures. It is revealed that the piezoelectricity affects the unstable region slightly whilst the functionally graded composite material plays a significant role in changing the unstable regions and the buckling loads of the smart plate.


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