大跨度柔性屋盖风振中流固耦合分析的强耦合方法
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摘要
本文针对大跨度柔性屋盖风振中流固耦合作用的特点,介绍了一种计算黏性不可压缩流体与经历大变形非线性结构之间流固耦合作用的强耦合方法。本文将伪实体弹性模型引入到流固耦合问题的流体域中处理其变形,使流体和固体形成整体耦合,推导了计算流固耦合问题的整体式方程,并用Newton-Raphson法求解。文中首先用经典圆柱绕流证明了该方法的有效性,并利用该方法计算了一大跨度柔性屋盖风振的流固耦合问题,结果与已有文献中的结果符合良好。因此证明本文提出的强耦合方法用于计算大跨度柔性屋盖风振流固耦合问题是准确可行的。
Aiming at characteristics of fluid-structure interaction in long-span flexible roof wind-induced vibration,this paper presents a full coupling method for calculating a viscous incompressible flow and a nonlinear structure undergoing large deformations.Pseudo-solid elastic model was introduced to manage the deformations of fluid domain in fluid-structure interaction problems,which is helpful to make simultaneaus coupling of fluid and solid.A general simultaneous equation for analyzing the fluid-structure interaction was derived and it was solved by using Newton-Raphson method.It was firstly applied to a cylinder placed in flow to validate the approach.Then it was applied to analyze the fluid-structure interaction in long-span flexible roof wind-induced vibration.The results are consistant with those in existing literatures.It proves that the proposed full coupling method for analyzing the fluid-structure interaction in long-span flexible roof wind-induced vibration is feasible and accurate.
Aiming at characteristics of fluid-structure interaction in long-span flexible roof wind-induced vibration,this paper presents a full coupling method for calculating a viscous incompressible flow and a nonlinear structure undergoing large deformations.Pseudo-solid elastic model was introduced to manage the deformations of fluid domain in fluid-structure interaction problems,which is helpful to make simultaneaus coupling of fluid and solid.A general simultaneous equation for analyzing the fluid-structure interaction was derived and it was solved by using Newton-Raphson method.It was firstly applied to a cylinder placed in flow to validate the approach.Then it was applied to analyze the fluid-structure interaction in long-span flexible roof wind-induced vibration.The results are consistant with those in existing literatures.It proves that the proposed full coupling method for analyzing the fluid-structure interaction in long-span flexible roof wind-induced vibration is feasible and accurate.
引文
[1]周健,孔戈,张刚,等.基于耦合场分割算法的二次开发及其应用[J].地震工程与工程振动,2006,26(2):73-79.
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[4]Morton S A,Melville,R B,Visbal MR.Accuracy and coupling issues of aeroelastic Navier-Stokes solver[R].AIAAPaper,1997:97-1085.
[5]Melville R B,Morton S A,Rizzetta D P.Implementation of a fully-implicit aeroelastic Navier-Stokes solver[R].AIAA Paper,1997,97-2039.
[6]Liu F,Cai J,Zhu Y,et al.Calculation of wing flutter by a coupled CFD-CSD method[R].AIAA paper,2000:2000-0907
[7]Schichting H.Boundary-layer Theory[M].7th ed.McGraw-Hill,New York,1979.
[8]Bathe K J.Finite element procedures in engineering analysis[M].Prentice-Hall,Englewood Cliffs,NJ,1982.
[9]Sackinger P A,Schunk P R,Rao P R.A Newton-Raphson pseudo-solid domain mapping technique for free and moving boundary problems:a finite element implementation[J].Journal of Computational Physics,1996,125:83-103.
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[12]胡宁.索杆膜结构协同分析理论及风振响应研究[D].杭州:浙江大学,2003.
[2]Melville R B,Morton S A.Fully implicit aeroelasticity on overset grid systems[R].AIAA Paper,1998:98-0521.
[3]Alonso J J,Jameson A.Fully-implicit time-marching aeroelastic solutions[R].AIAA Paper,1994:94-0056.
[4]Morton S A,Melville,R B,Visbal MR.Accuracy and coupling issues of aeroelastic Navier-Stokes solver[R].AIAAPaper,1997:97-1085.
[5]Melville R B,Morton S A,Rizzetta D P.Implementation of a fully-implicit aeroelastic Navier-Stokes solver[R].AIAA Paper,1997,97-2039.
[6]Liu F,Cai J,Zhu Y,et al.Calculation of wing flutter by a coupled CFD-CSD method[R].AIAA paper,2000:2000-0907
[7]Schichting H.Boundary-layer Theory[M].7th ed.McGraw-Hill,New York,1979.
[8]Bathe K J.Finite element procedures in engineering analysis[M].Prentice-Hall,Englewood Cliffs,NJ,1982.
[9]Sackinger P A,Schunk P R,Rao P R.A Newton-Raphson pseudo-solid domain mapping technique for free and moving boundary problems:a finite element implementation[J].Journal of Computational Physics,1996,125:83-103.
[10]Zienkiewicz O C,Zhu J Z.The superconvergent patch recovery and a posteriori error estimates,Part1:the recovery technique[J].InternationalJournal for Numerical Methods in Engineering,1992,33:1331-1364.
[11]Zienkiewicz O C,Zhu J Z.The superconvergent patch recovery and a posteriori error estimates,Part2:error estimates and adaptivity[J].Inter-national Journal for Numerical Methods in Engineering33,1992b,1365-1382.
[12]胡宁.索杆膜结构协同分析理论及风振响应研究[D].杭州:浙江大学,2003.
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