Local Collocation Method for Prediction of Natural Frequency of Functionally Graded Cylindrical Shells

Abstract

In this article, the local thin plate spline collocation method and first-order shear deformation shell theory are used to predict the natural frequency of functionally graded cylindrical shells. The local collocation method does not require special treatment for essential boundary condition nor time-consuming integration of weak form. Natural frequency of functionally graded cylindrical shells with clamped and simply supported boundary conditions are solved and compared with available published results to assess the performance of the present method.