用新离散单元法分析混凝土重力坝的地震响应
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摘要
介绍了一种新离散元列式法,并利用三节点三角形离散单元对地震荷载作用下混凝土重力坝的动力响应进行了计算机模拟,质点的动力方程采用显式中心差分法求解,几何非线性通过采用Green应变计算公式来考虑,阻尼采用Rayleigh模型,材料矩阵采用线性弹性模型,单元间接触力用有限元列式进行计算。文中给出的数值算例表明该方法具有与相同单元的有限元法精度相当,程序编制容易,占用内存小,具有一定工程应用价值。
A new formulation of distinct element is presented,and a 3-noded triangle element is employed to simulate the dynamic response of the concrete gravity dam under strong earthquake loading.An explicit central difference time-marching scheme is adopted for time integration of the dynamic equation.In order to account for geometric non-linearity,Green's strain formula is applied for the method,and a Rayleigh damping model and a linear elastic material matrix are also used in this work.Contact force between particles is computed by the finite element formulation.Numerical computation examples for dynamic response of concrete dam show that the distinct element methods are accurate,computationally efficient,easy for programming and valuable for engineering application as well.
A new formulation of distinct element is presented,and a 3-noded triangle element is employed to simulate the dynamic response of the concrete gravity dam under strong earthquake loading.An explicit central difference time-marching scheme is adopted for time integration of the dynamic equation.In order to account for geometric non-linearity,Green's strain formula is applied for the method,and a Rayleigh damping model and a linear elastic material matrix are also used in this work.Contact force between particles is computed by the finite element formulation.Numerical computation examples for dynamic response of concrete dam show that the distinct element methods are accurate,computationally efficient,easy for programming and valuable for engineering application as well.
引文
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[7]蔡松柏,沈蒲生.钢筋混凝土剪力墙结构非线性动力响应的有限元法[J].世界地震工程,1998,14(2):54-62.
[8]龙驭球.有限单元法概论[M].北京:高等教育出版社,1992.
[9]张国新,金峰,王光纶.用基于流形元的子域奇异边界元法模拟重力坝的地震破坏[J].工程力学,2001,18(4):18-27.
[2]Cudall P A,and Drescher A,Strack O D L.Numericalexperiments on granular assemblies;measurements andobservations[C].Proc of the IUTAM Symp on Deforma-tion and Failure of Granular Materials,1982:355-370.
[3]Mustoe G G,Williams,J R,and Hocking G.The dis-crete element method in geotechnical engineering[M].Dynamic Behavior of Foundations and Buried Structures(Banerjee P K and Butterfield R,eds),Elsevier Appl Sci,1989:233-264.
[4]Williams J R,Hocking G,and Mustoe G.Dynamic anal-ysis of biomechanical systems for occupant trauma assess-ment during impact[C].Proc of the Int Conference onNumerical Methods in Engrg:Theory and Applications,1987.
[5]Anandarajah A,and Lu,N.Structural analysis by dis-tinct element method[J].Journal of Engineering Me-chanics,ASCE,1991,117(9):2156-2163.
[6]王泳嘉,刑纪波.离散单元法及其在岩土力学的应用[M],沈阳:东北工学院出版社,1991.
[7]蔡松柏,沈蒲生.钢筋混凝土剪力墙结构非线性动力响应的有限元法[J].世界地震工程,1998,14(2):54-62.
[8]龙驭球.有限单元法概论[M].北京:高等教育出版社,1992.
[9]张国新,金峰,王光纶.用基于流形元的子域奇异边界元法模拟重力坝的地震破坏[J].工程力学,2001,18(4):18-27.
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