考虑局部切向约束接触问题的直接刚度法

针对工程中大量存在的切向滑移受到约束的接触问题,提出了基于Lagrange乘子的点-面及点-点接触直接刚度法,该方法生成的接触协调条件可以直接组装到结构刚度阵中,从而可直接用于考虑存在结构几何非线性及材料非线性的接触问题分析中。采用这一算法进行了考虑拱坝横缝张合效应的地震响应分析,结果表明考虑切向滑移约束对接触中的张开度有明显影响。

Lagrange multiplier method for contact problems with tangential sliding constraint

A solution method is presented for three dimensional node-to-node or node-to-surface contact problems with tangential sliding constraints based on Lagrange Multiplier method.The force equilibrium condition and displacement conforming conditions are directly incorporated with the stiffness matrix,thus the method can be applied to the contact problems with the geometric large deforming,large displacement or nonlinear material model.The seismic response of an arch dam with contraction joints is analyzed and the results show that the algorithm is effective and effect of shear key of the contraction joints on the open displacement between the contact surface can not be ignored.