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

作　　者：Xun MENG Ying SUN Jiadong WANG Ruili HUO Ding ZHOU 

机构地区：[1]College of Civil Engineering,Nanjing Tech University,Nanjing 211816,China [2]School of Transportation and Civil Engineering,Nantong University,Nantong 226019,Jiangsu Province,China [3]Faculty of Civil Engineering and Mechanics,Jiangsu University,Zhenjiang 212013,Jiangsu Province,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2023年第11期1973-2004,共32页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.51978336 and11702117)。

摘　　要：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 

分 类 号：O353.1[理学—流体力学]