基于ALE有限元法的储液罐耦合竖动响应研究
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摘要
推导了一种基于ALE描述弱可压缩液体与结构非线性耦合求解的分步有限元数值计算法,速度与压力使用同阶线性插值,并对耦合系统的竖动响应进行了分析。通过二维黏性流体大晃动问题实例计算,验证了该法简便、可行有效。
This paper establishes coupled finite element equations of coupling system solved by iteration method.Thus,a new ALE fractional steps finite element method which could solve nonlinear slightly compressible fluid-solid coupling system is presented.This method is useful because one can use the same linear interaction functions for both velocity and pressure.To confirm the effectiveness of the method,large-amplitude two-dimensional viscous fluid sloshing in a tank is simulated and good agreement is obtained in comparison with available results.Then,the method is applied to the study of dynamic response of slightly compressible fluid-tank coupling system under vertical excitation.
This paper establishes coupled finite element equations of coupling system solved by iteration method.Thus,a new ALE fractional steps finite element method which could solve nonlinear slightly compressible fluid-solid coupling system is presented.This method is useful because one can use the same linear interaction functions for both velocity and pressure.To confirm the effectiveness of the method,large-amplitude two-dimensional viscous fluid sloshing in a tank is simulated and good agreement is obtained in comparison with available results.Then,the method is applied to the study of dynamic response of slightly compressible fluid-tank coupling system under vertical excitation.
引文
[1]Nakayama K,Washizu K.The Boundary ElementMethod Applied to the Analysis of Two-dimensionalNonlinear Sloshing Problems[J].International Journalfor Numerical Methods in Engineering,1981,17(11):1 631-1 646
[2]Ramasuwamy B,Kawahara M.Arbitrary Lagrang-ian-Eulerian Finite Element Method for Unsteady,Convective,Incompressible Viscous Free SurfaceFluid Flow[J].International Journal for NumericalMethods in Fluids,1987,7(10):1 053-1 075
[3]居荣初,曾心传.弹性结构与液体的耦联振动理论[M].北京:地震出版社,1983.
[4]王国辉,柴军瑞,曹境英,等.采用变换坐标系法推导坝库系统流固耦合矩阵[J].水电能源科学,2008,26(6):96-98,101
[5]岳宝增,刘延柱.带自由液面Navier-Stokes流动问题的ALE分步有限元方法[J].水动力学研究与进展(A辑),2003,18(4):463-469
[6]Nomura T.ALE Finite Element Computations ofFluid-structure Interaction Problems[J].ComputerMethods in Applied Mechanics and Engineering,1994,112(1-4):291-308
[7]岳宝增,刘延柱,王照林.TLD-结构非线性耦合问题及其动力学特性研究[J].振动与冲击,2000,19(4):1-4
[8]沈振中,陈小虎,王金男.基于无单元法的应力场与渗流场耦合分析模型[J].水电能源科学,2007,25(4):61-63,89
[9]孙江龙,叶恒奎,李国安,等.用ALE有限元法建立二维数值波浪水池[J].华中科技大学学报(自然科学版),2004,32(4):10-12
[10]刘勇.水平与竖向地震激励下储液罐的动力分析[D].杭州:浙江大学,2007.
[11]Housner G W.Dynamic Pressure on AcceleratedFluid Container[J].Bulletin of the SeismologicalSociety of America,1957,47(1):15-35
[12]Haroun M A,Housner G W.Earthquake Responseof Deformable Liquid Storage Tanks[J].Journal ofApplied Mechanics,Transactions ASME,1981,48(2):411-418
[13]王建军.快中子增殖堆主容器强流固耦合分析[D].北京:清华大学,1998.
[14]Liu W K.Finite Element Procedure for Fluid-structure Interactions and Application to LiquidStorage Tanks[J].Nuclear Engineering and De-sign,1981,65(2):221-238
[2]Ramasuwamy B,Kawahara M.Arbitrary Lagrang-ian-Eulerian Finite Element Method for Unsteady,Convective,Incompressible Viscous Free SurfaceFluid Flow[J].International Journal for NumericalMethods in Fluids,1987,7(10):1 053-1 075
[3]居荣初,曾心传.弹性结构与液体的耦联振动理论[M].北京:地震出版社,1983.
[4]王国辉,柴军瑞,曹境英,等.采用变换坐标系法推导坝库系统流固耦合矩阵[J].水电能源科学,2008,26(6):96-98,101
[5]岳宝增,刘延柱.带自由液面Navier-Stokes流动问题的ALE分步有限元方法[J].水动力学研究与进展(A辑),2003,18(4):463-469
[6]Nomura T.ALE Finite Element Computations ofFluid-structure Interaction Problems[J].ComputerMethods in Applied Mechanics and Engineering,1994,112(1-4):291-308
[7]岳宝增,刘延柱,王照林.TLD-结构非线性耦合问题及其动力学特性研究[J].振动与冲击,2000,19(4):1-4
[8]沈振中,陈小虎,王金男.基于无单元法的应力场与渗流场耦合分析模型[J].水电能源科学,2007,25(4):61-63,89
[9]孙江龙,叶恒奎,李国安,等.用ALE有限元法建立二维数值波浪水池[J].华中科技大学学报(自然科学版),2004,32(4):10-12
[10]刘勇.水平与竖向地震激励下储液罐的动力分析[D].杭州:浙江大学,2007.
[11]Housner G W.Dynamic Pressure on AcceleratedFluid Container[J].Bulletin of the SeismologicalSociety of America,1957,47(1):15-35
[12]Haroun M A,Housner G W.Earthquake Responseof Deformable Liquid Storage Tanks[J].Journal ofApplied Mechanics,Transactions ASME,1981,48(2):411-418
[13]王建军.快中子增殖堆主容器强流固耦合分析[D].北京:清华大学,1998.
[14]Liu W K.Finite Element Procedure for Fluid-structure Interactions and Application to LiquidStorage Tanks[J].Nuclear Engineering and De-sign,1981,65(2):221-238
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