Nonlinear response of fluid-conveying functionally graded cylindrical shells subjected to mechanical and thermal loading conditions

A method to predict the nonlinear dynamic behavior of the fluid-conveying functionally graded (FG) cylindrical shell is presented in this paper. The thermal effects are included and the material properties of the FG cylindrical shell are assumed to be temperature-dependent and vary through the thickness according to the power-law function. By considering the in-plane and rotary inertia, the nonlinear dynamic equations of the fluid-conveying FG cylindrical shell are derived based on the von Kármán nonlinear theory, Hamilton's principle and the fluid velocity potential. Galerkin's method is utilized to convert the governing partial differential equations to nonlinear ordinary differential equations. A reduction model is developed to describe the nonlinear dynamics behavior of the fluid-conveying FG cylindrical shell. Emphasis is placed on investigating the effects of the variations of the flow velocity, the thermal load, the axial load and the volume fraction exponent on the nonlinear vibrations of fluid-conveying FG cylindrical shells. The results obtained by this method are compared with those of other experimental and numerical investigations and good agreement is obtained.