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nonlinear semi-analytical modeling of liquid sloshing in rectangular container with horizontal baffles

Applied Mathematics and Mechanics(English Edition) 2023年第11期44卷 1973-2004页

作者： Xun MENG Ying SUN Jiadong WANG Ruili HUO Ding ZHOU College of Civil Engineering Nanjing Tech UniversityNanjing 211816China School of Transportation and Civil Engineering Nantong UniversityNantong 226019Jiangsu ProvinceChina Faculty of Civil Engineering and Mechanics Jiangsu UniversityZhenjiang 212013Jiangsu ProvinceChina

A nonlinear semi-analytical scheme is proposed for investigating the finiteamplitude nonlinear sloshing in a horizontally baffled rectangular liquid container under the seismic excitation.The sub-domain method is developed to analytically derive the modal behaviors of the baffled linear sloshing.The viscosity dissipation effects from the interior liquid and boundary layers are considered.With the introduction of the generalized time-dependent coordinates,the surface wave elevation and velocity potential are represented by a series of linear modal eigenfunctions.The infinite-dimensional modal system of the nonlinear sloshing is formulated based on the Bateman-Luke variational principle,which is further reduced to the finite-dimensional modal system by using the NarimanovMoiseev asymptotic ordering.The base force and overturning moment induced by the nonlinear sloshing are derived as the functions of the generalized time-dependent coordinates.The present results match well with the available analytical,numerical,and experimental results.The paper examines the surface wave elevation,base force,and overturning moment versus the baffle parameters and excitation amplitude in detail.

关键词： rectangular container nonlinear sloshing baffe sub-domain multi-modal method

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ANALYSIS OF nonlinear sloshing IN SPHERICAL CONTAINER

ANALYSIS OF NONLINEAR SLOSHING IN SPHERICAL CONTAINER

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The Third International Conference on Dynamics, Vibration and Control

作者： J.Lu~1 J.F.Li~2 and T.S.Wang~2 1 School of Aeronautics Science and Engineering Beihang University Beijing100191 China 2 School of Aerospace Tsinghua University Beijing 100081 China

＜正＞A fluid partly occupying a moving tank undergoes sloshing.These motions generate severe hydrodynamic loads that might be dangerous for structural integrity and stability of rockets,satellites,ships and trunks.Especially for recent large vehicles in particular,the fluid contributes a non-negligible portion to the total mass of the vehicle,and therefore the importance of sloshing is accentuated.

关键词： nonlinear sloshing spherical container equivalent mechanical model arbitrary excitation

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Stable response of low-gravity liquid non-linear sloshing in a circle cylindrical tank

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Applied Mathematics and Mechanics(English Edition) 2007年第10期28卷 1273-1285页

作者：贺元军马兴瑞王本利 Center of Satellite Technology Harbin Institute of TechnologyHarbin 150001P.R.China R & DSichuan Aerospace Industry CorporationChengdu 610100 P.R.China China Aerospace Science and Technology Corporation Beijing 100830P.R.China Center of Satellite Technology Harbin Institute of TechnologyHarbin 150001P.R.China

Under pitch excitation, the sloshing of liquid in circular cylindrical tank includes planar motion, rotary motion and rotary motion inside planar motion. The boundaries between stable motion and unstable motion depend on the radius of the tank, the liquid height, the gravitational intension, the surface tensor and the sloshing damping. In this article, the differential equations of nonlinear sloshing are built first. And by variational principle, the Lagrange function of liquid pressure is constructed in volume intergration form. Then the velocity potential function is expanded in series by wave height function at the free surface. The nonlinear equations with kinematics and dynamics free surface boundary conditions through variation are derived. At last, these equations are solved by multiple-scales method. The influence of Bond number on the global stable response of nonlinear liquid sloshing in circular cylinder tank is analyzed in detail. The result indicates that variation of amplitude frequency response characteristics of the system with Bond, jump, lag and other nonlinear phenomena of liquid sloshing are investigated.

关键词： circle cylindrical tank nonlinear sloshing low-gravity multiple scales method stable response

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