Semi-analytical method for solving the dynamic behaviors of a fluid-saturated porous cylindrical shell
XIANG Yu1,2,SUN Run1,2,LU Jing1,2,YUAN Li-yun1,2
1. Automotive & Transportation Engineering Institute, Guangxi University of Science and Technology, Liu Zhou 545006, China；
2. Guangxi Key Laboratory of Automobile Components and Vehicle Technology, Guangxi University of Science and Technology, Liuzhou 545006, China
Abstract：Based on the elastic theory of thin shells, and by applying the motion equations of the solid frame and fluid part and the constitutive equation for a porous media proposed by Biot, the first order differential governing equations of a thin fluid-saturated porous cylindrical shell under harmonic excitation were established. Employing the extended homogeneous capacity precision integration method and precise element method, a new semi-analytical method for analysing the vibration performance of this kind of structures was developed. Considering thoughtfully the coupling effect between the solid frame and the fluid, the present model is reasonable and adaptable, which could make up the insufficiency of the existed calculated models and the effective medium method. Based on the new method, the effect of porosity on the frequency response of a fluid-saturated porous cylindrical shell was discussed.
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