Buckling and vibration analysis of functionally graded conical shell resting on elastic foundation

This paper investigates buckling and free vibration analysis of functionally graded conical shell resting on elasticfoundation (Winkler-Pasternak) using first-order shear deformation shell theory. Equations of motion are derived fromHamilton’s principle. The Navier-type solution is used for simply-supported boundary condition, and exact formulas areproposed for buckling free vibration analysis. The material properties are graded in the thickness direction according toa power law. An accuracy of the present solutions is validated numerically by comparisons with some available resultsin the literature. Good agreement is observed. The parametric study is carried out to discuss the effects of gradientindex, geometrical properties and elastic foundation constants on the buckling loads and frequency behavior offunctionally graded conical shell.

کلیدواژه ها:

Buckling ، Conical Shell ، Free vibration ، Functionally Graded