Analysis of liquid sloshing in a 2D rectangular container with vertical baffle under horizontal excitation

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (2) : 276-284.

WEN Guozheng， WANG Jiadong， CAO Zhanxue， ZHAO Shilin

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Abstract

The sloshing of liquid in a 2-D rectangular container under horizontal excitation is investigated. The sloshing control device is a rigid vertical baffle. The analytical models of the baffle at free surface are established, respectively. Firstly, the liquid domain is divided into several liquid subdomains has continuous boundary conditions of class C1 by introducing artificial interfaces. Based on the superposition principle, the formal solution of the velocity potential of each liquid subdomain is obtained using the separation of variables method. The formal solution is substituting into the interface between the subdomains and the free liquid surface condition gives the series equation with the determined coefficients. The spatial coordinates in the equation are eliminated by weighted integration, and the characteristic equation is obtained by truncating the equation. The sloshing frequency and mode obtained by the characteristic equation. The total velocity potential function under lateral excitation is taken as the sum of the container potential function and the liquid perturbed potential function. The dynamic response equation with generalized coordinates can be obtained by substituting the perturbation velocity potential and rigid body velocity potential into the wave equation of liquid surface. The sloshing response of liquid in the container is obtained by solving the equation.

Key words

vertical baffle / rectangular container / horizontal excitation / the container potential function / the liquid perturbed potential function

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WEN Guozheng， WANG Jiadong， CAO Zhanxue， ZHAO Shilin. Analysis of liquid sloshing in a 2D rectangular container with vertical baffle under horizontal excitation[J]. Journal of Vibration and Shock, 2023, 42(2): 276-284

References

[1] Belakroum R, Kadja M , Mai T H , et al. An efficient passive technique for reducing sloshing in rectangular tanks partially filled with liquid[J]. Mechanics Research Communications, 2010, 37(3):341-346.
[2] Goudarzi M A, Sabbagh-Yazdi S R. Investigation of nonlinear sloshing effects in seismically excited tanks[J]. Soil Dynamics and Earthquake Engineering, 2012, 43: 355-365.
[3] 秦念, 周叮, 刘伟庆,等. 水平激励下任意截面柱形储液罐内液体的晃动响应[J]. 工程力学, 2015,32(2):178-182
    QIN Nian, ZHOU Ding,LIU Wei-qing,et al.Sloshing response of liquid in cylindrical tank with arbitrary cross-cextion under lateral excitions[J].Engineering Mechanics,2015,32(2):178-182
[4] Cho I H. Liquid sloshing in a swaying/rolling rectangular tank with a flexible porous elastic baffle[J]. Marine Structures, 2021, 75: 102865.
[5] 王佳栋, 周叮, 刘伟庆. 带环形隔板圆柱形储液罐中流体晃动的解析研究[J]. 振动与冲击, 2010, 29(2): 54-59.
WANG Jia-dong, ZHOU Ding, LIU Wei-qing,et al. Analytical solution for liquid sloshing with small amplitude in a cylindrical tank with an annual baffle[J].Journal of Vibration and Shock ,2010, 29(2): 54-59.
[6] 房忠洁, 周叮, 王佳栋,等. 带隔板的矩形截面渡槽内液体的晃动特性[J]. 振动与冲击, 2016, 35(3):169-175.
FANG Zhong-jie，ZHOU Ding，WANG Jia-dong，et al. Sloshing characteristics of liquid in a rectangular aqueduct with baffle[J]. Journal of Vibration and Shock, 2016, 35(3):169-175.
[7] 应磊, 周叮, 房忠洁. 带隔板矩形贮箱俯仰晃动研究[J]. 振动与冲击, 2018, 37(8):54-67.
YING Lei，ZHOU Ding，FANG Zhongjie. Analysis of pitching motion on rectangular adequate with a baffle[J]. Journal of Vibration and Shock, 2018, 37(8): 54-67.
[8]   Wang J D, Lo S H, Zhou D. Sloshing of liquid in rigid cylindrical container with multiple rigid annular baffles: Lateral excitations[J]. Journal of Fluids and Structures, 2013, 42: 421-436.
[9]   Jin H, Liu Y, Li H J. Experimental study on sloshing in a tank with an inner horizontal perforated plate[J]. Ocean Engineering, 2014, 82: 75-84.
[10]   Tsao W H , Chang T J . Sloshing Phenomenon in Rectangular and Cylindrical Tanks Filled with Porous Media: Supplementary Solution and Impulsive-Excitation Experiment[J]. Journal of Engineering Mechanics, 2020, 146(12):1-13.
[11]   Koh C G, Luo M, Gao M, et al. Modelling of liquid sloshing with constrained floating baffle[J]. Computers & Structures, 2013, 122: 270-279.
[12]   Meng X, Zhou D, Wang J. Effect of Vertical Elastic Baffle on Liquid Sloshing in Rectangular Rigid Container[J]. International Journal of Structural Stability and Dynamics, 2021, 21(12): 2150167.