Numerical Solutions of Random Vibration Response of Orthotropic Geometric Nonlinearity Laminates

In order to improve the analysis accuracy of random vibration response of satellite composite structures, a numerical solution method for nonlinear random vibration response of orthotropic medium plates is proposed by fully considering the geometric nonlinear characteristics of structures. Firstly, the motion equation of rectangular plate is established based on the first-order shear deformation theory. Then, the nonlinear natural frequency of the laminated plate structure is obtained by Galerkin's method and Perturbation method. Last, on this basis, the numerical solutions of nonlinear random vibration response of orthotropic medium plates under three boundary conditions are derived by combining the equivalent linearization method and the virtual excitation method.Using the proposed nonlinear random vibration numerical method, the random response characteristics of medium composite plates for satellites are analyzed with specific examples. The results show that there are great differences between the results