Static behavior of arbitrarily supported piezolaminated cylindrical shell panels: an analytical 3D piezoelasticity approach

Abstract

First time, based on three dimensional (3D) piezoelasticity, an analytical solution has been developed for the static analysis of hybrid piezolaminated cylindrical shell panels. Furthermore, the present solution can provide results for the shell panels with arbitrary boundary conditions. The boundary conditions can arbitrarily be simply-supported, clamped or free along with electrical closed or open circuit conditions. Due to such boundary conditions, the developed stress concentration zones are accurately predicted considering the singularities which are inherent to cylindrical shell structures. As the Reissner’s type mixed variational principle has been employed to obtain the governing equations, the displacements and stresses are equally accurate at every point in the domain. The Partial Differential Equations (PDE)s are converted to systems of simultaneous first order Ordinary Differential Equations (ODE)s using the Extended Kantorovich Method (EKM) of which the set of ODEs with variable coefficients along the radial coordinate direction is solved by a modified power series method. And, the set of ODEs along the circumferential coordinate direction is solved using the Pagano’s approach as it has constant coefficients. New benchmark results have been presented after thorough validation for multi-layered hybrid composites. This development will benefit in revisiting or developing other 2D/1D solutions.