考虑液体晃荡的部分充液圆柱壳受迫振动分析

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摘要充液圆柱壳结构广泛存在于在工程中，在外部激励作用下，圆柱壳会与流体产生耦合振动，且未充满的液面也会产生晃荡，这种耦合振动响应分析在工程中具有重要意义。本文提出了一种求解考虑内部液体小幅晃荡的弹性圆柱壳振动响应的半解析法。首先分别在壳体建立结构坐标系、在自由液面建立液体坐标系，各自用来描述结构及内部液体的运动。基于Flügge壳体理论建立了圆柱壳的运动控制方程。将液体视为为无粘、不可压缩的理想流体，根据线性水波理论和液体自由表面运动边界条件，得出了内部液体的速度势函数。通过流固耦合界面的连续性条件，结合坐标变换推导得到流固耦合系统的运动控制方程。研究了壳体在径向点力激励下振动响应，并得出了对应的液面晃荡响应。和有限元法对比验证了方法的正确性，然后改变相关参数讨论了考虑内部液体晃荡的弹性圆柱壳振动响应特性。

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关键词 ：弹性圆柱壳, 部分充液, 液面线性晃荡, 流固耦合, 受迫振动, 响应特性

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

收稿日期: 2022-09-21 出版日期: 2023-02-15

引用本文:

韩越洋1,3，朱翔1,2,3，李天匀1,2,3，张帅1,3. 考虑液体晃荡的部分充液圆柱壳受迫振动分析[J]. 振动与冲击, 2024, 43(3): 37-45.
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. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(3): 37-45.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I3/37

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