Forced vibration analysis of partially filled cylindrical shell considering liquid sloshing

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (3) : 37-45.

HAN Yueyang1,2, ZHU Xiang1,2,3, LI Tianyun1,2,3, ZHANG Shuai1,2

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Abstract

The liquid-filled cylindrical shell structure widely exists in practical engineering. Under the action of external excitation, the cylindrical shell and the fluid will generate coupled vibration, and the unfilled liquid surface will also slosh. This coupled vibration response analysis is of great significance in engineering. This paper presents a semi-analytical method for solving an elastic cylindrical shell's vibration response considering internal liquid sloshing. Firstly, a shell-based structure coordinate system and a free liquid surface-based liquid coordinate system are established to describe the internal liquid's structure and movement, respectively. Based on the Flügge shell theory, the motion control equation of the cylindrical shell is established. Considering the liquid as an inviscid and incompressible ideal fluid, the velocity potential function of the internal liquid is obtained according to the linear water wave theory and the boundary conditions of the liquid free surface motion. The motion governing equations of the fluid-structure interaction interface is obtained through the continuity condition of the fluid-structure interaction system and the coordinate transformation. The vibration response of the shell under radial harmonic excitation is studied, and the corresponding liquid surface sloshing response is obtained. By changing the system parameters, the vibration response characteristics of the elastic cylindrical shell considering the internal liquid sloshing are discussed.

Key words

elastic cylindrical shell / partially filled with liquid / linear sloshing of liquid surface / fluid-structure interaction / forced vibration / response characteristics

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HAN Yueyang1,2, ZHU Xiang1,2,3, LI Tianyun1,2,3, ZHANG Shuai1,2. Forced vibration analysis of partially filled cylindrical shell considering liquid sloshing[J]. Journal of Vibration and Shock, 2024, 43(3): 37-45

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