Nonlinear dynamics of sloshing in tank based on Hamilton Principle

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• 英文论文题名：Nonlinear dynamics of sloshing in tank based on Hamilton Principle
• 论文作者：Tingting Zhang ; Jianying Yang
• 英文论文作者：Tingting Zhang ; Jianying Yang ; State Key Laboratory for Turbulence and Complex Systems ; Department of Mechanics and Engineering Science ; College of Engineering ; Peking University
• 年：2017
• 作者机构：State Key Laboratory for Turbulence and Complex Systems,Department of Mechanics and Engineering Science,College of Engineering,Peking University;
• 英文论文关键词：Sloshing ; Hamilton Principle ; Jourdain variation ; FEM
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 语种：英文
• 分类号：O322
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：5
• 文件大小：501k
• 原文格式：D
• 会议级别：全国

摘要

Sloshing is a complex nonlinear dynamic phenomenon. It is difficult and challenging to model the coupling between the sloshing and the motion of the tank body. The sloshing has significant influence on the stability of the system. Hence, it is essential and necessary to study the dynamic characteristics of sloshing system. In this study, a wave height function and a potential function are used to describe sloshing phenomenon and the moving boundary conditions between the fluid and the structure. Nonlinear dynamics are established to model the coupled dynamic equations based on Hamilton principle with the assumption of ideal fluid. It is shown that the unity of fluid motion and rigid body motion can be realized by the application of Hamilton principle. The obtained equations are solved via Garlerkin's method to yield approximate numerical solutions. Finally,the theoretical analysis is verified by comparing the numerical solutions with the dynamic response of the FEM software.
Sloshing is a complex nonlinear dynamic phenomenon. It is difficult and challenging to model the coupling between the sloshing and the motion of the tank body. The sloshing has significant influence on the stability of the system. Hence, it is essential and necessary to study the dynamic characteristics of sloshing system. In this study, a wave height function and a potential function are used to describe sloshing phenomenon and the moving boundary conditions between the fluid and the structure. Nonlinear dynamics are established to model the coupled dynamic equations based on Hamilton principle with the assumption of ideal fluid. It is shown that the unity of fluid motion and rigid body motion can be realized by the application of Hamilton principle. The obtained equations are solved via Garlerkin's method to yield approximate numerical solutions. Finally,the theoretical analysis is verified by comparing the numerical solutions with the dynamic response of the FEM software.

引文

[1]H.N.Abramson,The dynamics of liquids in moving containers,Report SP 106,NASA,1966.
    [2]G.C.Feng,Dynamic loads due to moving liquid,AIAA Paper No.73-409,1973.
    [3]J.G.Telste,Calculation of fluid motion resulting from large amplitude forced heave motion of a two-dimensional cylinder in a free surface,in Proceedings of the Fourth International Conference on Numerical Ship Hydrodynamics,Washington,USA,1985:81-93.
    [4]A.P.Lui,and J.Y.K.Lou,Dynamic coupling of a liquid tank system under transient excitations,Ocean Engineering,17(3):263–277,1990.
    [5]P.Ferrant,D.Le Touze,Simulation of sloshing waves in a3D tank based on a pseudo-spectral method,in Proceedings of the 16th International Workshop on Water Waves and Floating Bodies,Hiroshima,Japan.2001.
    [6]B.Yue,Three dimensional large amplitude liquid sloshing under pitching excitations,Acta Mechanica Sinica,37(2):199–203,2005.
    [7]D.Liu,and P.Lin,A numerical study of three-dimensional liquid sloshing in tanks,Journal of Computational Physics,227:3921-3939,2005.
    [8]I.Takashi,A.Raouf,H.Yuji,and K.Tasuku,Nonlinear liquid sloshing in a square tank subjected to obliquely horizontal excitation,Journal of Fluid Mechanics,700:304-328,2012.
    [9]J.Love,and M.Tait,Equivalent mechanical model for tuned liquid damper of complex tank geometry coupled to a 2D structure,Structural Control and Health Monitoring,21(1):43-60,2014.
    [10]Y.Liu,A survey of approaches in dynamics of rigid body containing liquid,Mechanics in Engineering,37(3):397-400,2015.
    [11]K.Chen,J.Li,and T.Wang,Nonlinear dynamics modeling and analysis of liquid sloshing in rectangular tank,Acta Mechanica Sinica,37(3):339-345,2005.
    [12]H.Zhou,and J.Li,Dynamic equations of the liquid filled rigid body based on the variational principle,Mechanics in Engineering,31(1):76-78,2009.
    [13]H.Hu,Applied Nonlinear Dynamics.Beijing:Aviation Industry Press,2000.
    [14]R.Gerk,Modeling and Simulation of Vehicles Carrying Liquid Cargo,Master’s Thesis,18(3):295-312,2014.