Three Dimensional Analytical Solutions for Static and Modal Analysis of Piezolaminated Cylindrical Shells Using Extended Kantorovich Method

Abstract

The recent smart structures have extensive applications which needs to be analysed through the integration of multi-physics based governing theories. The multi-field responses of the structures are truly newlinethree-dimensional (3D) in nature which can be accurately predicted only through the application of 3D theories. Presently, a semi-analytical solution based on the multi-term extended Kantorovich method (EKM) has been developed. For the first time, the method has been extended to obtain 3D elasticity/ newlinepiezoelasticity based solution for the static and free vibration analysis of hybrid laminated composite cylindrical shells. Its ability to solve for cylindrical shells with any/ arbitrary combinations of support newlineconditions such as simply supported, clamped and free edges is a notable feature. Derivation of the weak form of governing equations from a Reissner s-type mixed variational principle, inclusion of fully coupled constitutive relation, shear-slip phenomena, multi-term and multi-field variable incorporation in