Free vibration analysis of graphene reinforced composite cylindrical shell by using theory of elasticity and DQM

This paper investigates free vibration behavior of a graphene platelets reinforced composite (GPLRC) cylindrical shell on the basis of elasticity theory. Both uniform and functionally graded (FG) distributions are considered for GPLs through the thickness direction. Themodified Halpin-Tsai micromechanics model is employed to estimate effective modulus of elasticity varying along the thickness direction whereas density and Poisson’s ratio are acquired by rule of mixtures. For simply supported edge boundary conditions, applyingstate-space technique along the radial direction and Fourier series expansion along the axial and circumferential directions leads to an analytical solution for the governing differential equations of motion and equilibrium. While, for other boundary conditions, asemi-analytical solution is proposed based on applying differential quadrature method (DQM) along the axial direction and state-space technique along the radial direction. Validity of numerical results of present approach is confirmed by comparison with thoseavailable in the literature. Moreover, the effects of different boundary conditions, distribution patterns of GPLs, geometric parameters such as mid-radius to thickness ratio on free vibration behavior of functionally graded graphene plates reinforced composite cylindricalshell (FG-GPLRC) are investigated

کلیدواژه ها:

Static ، Free vibration ، Elasticity ، Graphene reinforced ، Cylindrical shell