Hollow Piezoelectric Cylinder under Transient Loads

In this paper, transient solution of two dimensional asymmetric thermal and mechanical stresses for a hollow cylinder made of piezoelectric material is developed. Transient temperature distribution, as function of radial and circumferential directions and time with general thermal boundary-conditions, is analytically obtained, using the method of separation of variables and generalized Bessel function. The results are the sum of transient and steady state solutions that depend upon the initial condition for temperature and heat source, respectively. The general form of thermal and mechanical boundary conditions is considered on the piezoelectric cylinder. Material properties of piezoelectric cylinder are the same along the thickness. A direct method is used to solve the Navier equations, using the Euler equation and complex Fourier series.