Equivalent linearization method improved by higher order statistics in modal space for geometrically nonlinear vibrations

In this paper, an equivalent linearization method considering higher order statistics based on nonlinear reduced modeling techniques is proposed for the geometrically random vibration problems of complex structures. Nonlinear models structures are constructed by leveraging analysis capabilities commercial finite element codes, and improvement to Stiffness Evaluation Procedure determining stiffness coefficients achieved through equivalence relation, leading a notable reduction in computational cost with no further requirements codes. The terms twice regulated equivalent, then form derived introduce into equations motion. Then linearized system obtained criterion force error minimization used predict response original system. solved modal space, increasing efficiency significantly. Higher statistical information introduced improve accuracy. Typical examples verify effectiveness method, while its applicability demonstrated via turbulence-excited composite laminates.