C0-TSDT-FEM for Free Vibration Analysis of Functionally Graded Cylindrical Shells

Abstract

In this article, natural frequencies of functionally graded (FG) cylindrical shells are calculated by applying the finite element method based on a C0-type of the novel third-order shear deformation theory (TSDT), namely Shi’s theory. In this type, only the first derivative of transverse displacements is requested after two variables are added. The material properties are changed from the top to bottom under a power-law distribution. Comparison between results from this work and the solution from other work suggests that this code is accurate and efficient.

Keywords

• cylindrical shell
• c0-tsdt
• finite element method
• functionally graded
• natural frequency