EXACT PIEZOTHERMOELASTIC SOLUTION OF SIMPLY-SUPPORTED ORTHOTROPIC CIRCULAR CYLINDRICAL PANEL IN CYLINDRICAL BENDING

This work presents an exact piezothermoelastic solution of infinitely long, simply supported, cylindrically orthotropic, piezoelectric, radi ally polarised, circular cylindrical shell panel in cylindrical bendin g under thermal and electrostatic excitation. The general solution of the governing differential equations is obtained by separation of vari ables. The displacements, electric potential and temperature are expan ded in appropriate Fourier series in the circumferential coordinate to satisfy the boundary conditions at the simply-supported longitudinal edges. The governing equations reduce to Euler-Cauchy type of ordinary differential equations. Their general solution involves six constants for each Fourier component. These are solved from the algebraic equat ions obtained by satisfying the boundary conditions at the lateral sur faces. The solution of the inverse problem of inferring the applied te mperature field from the given measured distribution of electrical pot ential difference between the lateral surfaces of the shell has also b een presented. Numerical results are presented for typical thermal and electrostatic loadings for various values of radius to thickness rati o.