丹江口重力坝二期加高非线性有限元接触分析

Nonlinear FEM Contact Research on Danjiangkou Gravity Dam Heightened During Post-period

为了论证大坝加高后坝体联合剖面的变形及稳定是否满足要求,利用变分原理和最小位能原理将非线性有限元接触问题转化为标准的凸二次规划问题,然后采用基于扩展拉格朗日方法的序列二次规划优化法求解,重点研究了新老混凝土界面不同连结情况下的大坝应力、变形和稳定性状。计算结果表明,大坝加高后的整体变形、坝址坝踵和接触缝键槽处的应力以及整体稳定安全系数均满足设计要求。

In order to prove whether the deformation and stabilization of the whole dam section after heightening meet the demand of design, this paper transforms a nonlinear FEM contact problem to standard convex quadratic programming by use of differential principle and principle of minimum potential energy. Then, this paper analyzes and computes the stress, deformation and stabilization at different contact state of new old concrete interface by use of sequential quadratic programming (SQP) method of contact algorithm, based on augmented Lagrange procedure. The computation results show that the stress, deformation and stabilization all meet with general rules and design demand.