关键词: 多孔介质叠层梁；碳纤维布；精细积分法；动力学特性

Abstract: The application of porous materials is increasingly widespread, but due to the limitation of their own special pore structure, the strength of porous materials is not high. Laying carbon fiber cloth on the surface of porous media material can obtain the excellent comprehensive performance of porous medium material and the high strength of carbon fiber cloth simultaneously. The finite element method (FEM) is mostly used to analyze the mechanical properties of the porous laminated structure with carbon fiber cloth. Because of the particularity of porous structure, the calculation accuracy and efficiency of FEM are low. Based on the Biot theory and the lamination theory, combining the control equation of porous layer and carbon fiber cloth, the integrated first-order ordinary differential matrix governing equations of porous laminated beams with carbon fiber cloth under harmonic excitation are derived by considering the continuity condition between layers. Combined with the boundary conditions of the structure, the precise integration method with high precision is used to solve the integrated governing equations. The feasibility and correctness of the model are verified compared with the finite element model, and the dynamic characteristics of the porous laminate beam with carbon fiber cloth are also analyzed by the present method.

Key words: Porous medium laminated beam; Carbon fiber cloth; Precise integration method; Kinetic characteristics