Frequency Analysis of Truncated Functionally Graded Conical Shells with Different Boundary Conditions

In this paper, the frequency analysis of a truncated functionally graded material (FGM) conical shell is presented using the method of generalized differential quadrature (GDQ). Based on the Love's first approximation theory, governing equations in terms of displacements are derived. The material properties of FGM shells are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. And then, using the GDQ method, the natural frequencies of the shells for various boundary conditions and various semivertex angles can be easily and accurately obtained. The effects of the materials constitution, the shape geometry on the natural frequencies are discussed in detail. From the research results it can be concluded that: gradient properties, boundary conditions, the shape geometry, have significant effects on the fundamental frequencies of FGM shells.