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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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Analytical Modeling of Fluid Sloshing in A 2D rectangular container with A Bottom-Mounted T-Shaped Baffle

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China Ocean Engineering 2022年第2期36卷 299-310页

作者： MENG Xun MA Xiao-zhong ZHANG You-ming FANG Hai ZHOU Ding College of Civil Engineering Nanjing Tech UniversityNanjing 211816China Flood Control and Drought Relief Rescue Center of Jiangsu Province Nanjing 211500China

An analytical procedure is presented to evaluate the fluid sloshing characteristics in a two-dimensional(2D)rectangular container with a bottom-mounted T-shaped baffle.The fluid region is divided into several sub-domains with hypothetical interfaces and the velocities and pressures of the fluid on adjacent interfaces should be identical.The separation of variables in conjunction with the superposition principle is employed to formulate the velocity potential of each sub-domain.The Fourier series expansion is used to derive the eigenvalue equation by substituting the velocity potential solutions into the free surface conditions and the continuity conditions on adjacent interfaces.Under the horizontal base excitation,the total velocity potential of fluid is decomposed of the impulsive and perturbed velocity potentials.The orthogonality of the sloshing modes is demonstrated by implementing Gauss formula.The dynamic response equation is established by incorporating the total velocity potential solution into the surface wave equation.Excellent agreements are achieved between the present results and those from the reported literature and finite element code.Numerical results are exhibited to reveal the effect of the baffle parameters and excitation frequency on sloshing characteristics and responses of liquid.

关键词： rectangular container T-shaped baffle sub-domain sloshing characteristics dynamic response

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Suppression of Wave-Excited Vibration of Offshore Platform by Use of Tuned Liquid Dampers

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China Ocean Engineering 2001年第2期16卷 165-176页

作者：董胜李华军 Tomotsuka TAKAYAMA College of Engineering Ocean University of Qingdao Qingdao 266003 China Disaster Prevention Research Institute Kyoto University Gokasho Uji Kyoto 611-0011 Japan

This paper describes experimental and theoretical investigations of Tuned Liquid Damper (TLD) characteristics for suppressing the wave-excited structural vibration. The structural model for the experiments is scaled according to a full size offshore platform by matching their dynamic properties. rectangular TLDs of different sizes with partially filled liquid are examined. By observing the performance and behavior of TLDs through laboratory experiments, the Study investigates the influence of a number of parameters, including container size, container shape, frequency ratio, and incident wave characteristics. In an analytical study, a mathematical model that describes the nonlinear behavior of liquid in TLD and the interaction of TLD and structure is prerequisite. The validity of the model is evaluated and simulating results can reasonably match the corresponding experimental results.

关键词： numerical simulation offshore platform tuned liquid damper structural vibration rectangular container shallow water wave theory

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