Three-dimensional vibration analysis of spherical shell panels subjected to different boundary conditions

This paper presents the elasticity solutions for free vibration analysis of doubly curved shell panels of rectangular planform. The vibratory characteristics of panels subjected to different boundary conditions have been obtained via a three-dimensional displacement-based energy formulation represented in the spherical coordinates. The p-Ritz method is employed for the solution of the problem. To validate the accuracy of the results and the ease of implementation of the present methodology, selected cases have been compared against the results existing in the literature.