Semi-analytical method for solving the dynamic behaviors of a fluid-saturated porous cylindrical shell

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (1) : 208-215.

XIANG Yu1,2,SUN Run1,2,LU Jing1,2,YUAN Li-yun1,2

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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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vibration analysis / fluid-saturated porous medium / cylindrical shell / Biot theory / extended homogeneous capacity precision integration method

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XIANG Yu1,2,SUN Run1,2,LU Jing1,2,YUAN Li-yun1,2. Semi-analytical method for solving the dynamic behaviors of a fluid-saturated porous cylindrical shell[J]. Journal of Vibration and Shock, 2018, 37(1): 208-215

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