Abstract：The nonlinear dynamical response of composite shell with arbitrary shape in one direction that is suddenly exposed to a heat flux is investigated using the finite element method. With the help of basic mathematic knowledge, the variable curvature radius of shell is derived. According to Mindlin shell theory, the nonlinear strain-displacement relationship is showed. variation equations of a composite shell are derived by means of the principle of virtual work. The isoparametric elements are used to discrete the variation equations to obtain the rigid-flexible coupling dynamic equations for hub-composite shell system. Gauss quadrature is introduced for calculating the constant matrix. Implicit time integration generalized-α method associated Newton-Raphson is employed for integration. Comparison of the present frequency results with that obtained by ANSYS verifies the correctness of the present formulation. The linear and nonlinear dynamical characteristics are concluded considering heat flux. Influences of curvature and material behavior on the dynamical responses are studied.
2013, Vol. 32 
