混凝土坝接触面的数值模拟研究
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摘要
针对混凝土坝的接触问题,建立了三维摩擦接触非线性动接触模型。根据接触面上的非线性特点,把力系分为外荷载和接触面上的接触力,通过假设接触状态,把接触力作为迭代变量,求解满足接触条件和动平衡条件的接触力。首先给出了接触面单元的应力计算公式,推导了非线性动力接触方程,详细说明求解的步骤和迭代的过程。通过例子验证该模型能够模拟混凝土坝接触面的张开、闭合和滑移,实例分析表明,采用该模型有稳定的收敛性和足够精度。
Based on the theory of contact forces,3-D frictional contact non-linear dynamic contact model is put forward.On the basis of the characteristics of the contact nonlinearity,forces acting on the system are divided into two parts: external and contact forces.First the formula for the contact element is given,and nonlinear dynamic contact equation is obtained.And then,the iteration process is explained in detail.At last,the contact opening,closing and sliding are simulated by giving examples,and the convergence and precision of the model are demonstrated.
Based on the theory of contact forces,3-D frictional contact non-linear dynamic contact model is put forward.On the basis of the characteristics of the contact nonlinearity,forces acting on the system are divided into two parts: external and contact forces.First the formula for the contact element is given,and nonlinear dynamic contact equation is obtained.And then,the iteration process is explained in detail.At last,the contact opening,closing and sliding are simulated by giving examples,and the convergence and precision of the model are demonstrated.
引文
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[5]王满生,周锡元,胡聿贤.桩土动力分析中接触模型的研究[J].岩土工程学报,2005,27(6):616-620.
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[9]赵兰浩,李同春,牛志伟.有初始间隙摩擦接触问题的有限元混合法[J].岩土工程学报,2006,28(11):2 015-2 018.
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[2]Goodman R F,Taylor R L,Brekke T L.A model for the Me-chanics of jointed rock[J].Journal of the Soil Mechanics andFoundations Division,ASCE,1968,94(SM3):637-660.
[3]Desai C S.Behavior of interfaces between structural and geologicmedia[C]∥Soil Dyn Q,State-of-the-Art Paper.Proceedings ofthe 1st International Conference on Recent Advances in Geotech-nical Engineering.StLouis Mo,1981.1 334-1 346.
[4]王水林,邓建辉,葛修润.改进的拉氏乘子法在接触摩擦问题中的应用[J].岩土工程学报,1998,20(5):64-67.
[5]王满生,周锡元,胡聿贤.桩土动力分析中接触模型的研究[J].岩土工程学报,2005,27(6):616-620.
[6]PERIC D,OWEN D R J.Computational model for 3D contactproblems with friction based on the penalty method[J].Interna-tional Journal for Numerical Methods in Engineering,1992,35:1 289-1 309.
[7]HAUG D,SAXCE G.Frictionless contact of elastic bodies by fi-nite element method and mathematical programming technique[J].Computers Structures,1980,(11):55-67.
[8]赵兰浩,李同春,牛志伟.有横缝高拱坝非线性地震响应动接触模型[J].水力发电学报,2007,26(4):91-95.
[9]赵兰浩,李同春,牛志伟.有初始间隙摩擦接触问题的有限元混合法[J].岩土工程学报,2006,28(11):2 015-2 018.
[10]Fenves GL,Mojtahedi S,Rei mer R B.ADAP 88:Acomputerprogramfor nonlinear earthquake nalysis of concrete arch dams[R].Report No.UCBPEERC 89P02,Earthquake EngineeringResearch Center,University of California,at Berkeley,1989.
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