3-DIMENSIONAL SOLUTION FOR SIMPLY-SUPPORTED PIEZOELECTRIC CYLINDRICAL-SHELL FOR AXISYMMETRICAL LOAD

This work presents a three-dimensional solution for simply-supported p iezoelectric cylindrical shell subjected to axisymmetric electromechan ical load. The variables are expanded in Fourier series to satisfy the boundary conditions at the ends. The solution of the governing differ ential equations with variable coefficients is constructed as a produc t of an exponential function and a power series in the thickness coord inate. The coefficients of terms of all degrees in the governing equat ions are set to zero. This yields a linear eigenvalue problem for the exponent and recursive relations for the coefficients of the power ser ies. The arbitrary constants in the general solution are determined fr om the boundary conditions. The solution of the: inverse problem of in ferring the applied pressure field from the measured electrical potent ial difference between the surfaces of the shell is also presented. Nu merical results are presented showing the effect of nature of loading and the geometrical parameters on the response. These results would en able development and assessment of two-dimensional piezoelastic shell theories.