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在拱坝坝肩稳定分析中经常使用刚体极限平衡法。但是,它的非线性方程组求解复杂,且有时某滑动面出现负的法向反力,这是与实际不符合的。本文论述了利用最优化方法求解刚体极限平衡等K值法的非线性方程组的原理和方法。并且,当有的侧滑面出现负值时,调整底滑面的剪力方向以消除负值。将这种方法的计算成果和非线性三维有限元计算成果进行比较,结果表明,这种调整方法是可行的。
In the stability analysis of arch dam abutment often use rigid body limit balance method. However, its nonlinear equations are complicated to be solved, and sometimes a slip surface has negative normal reaction force, which is not in accordance with the actual situation. This paper discusses the principle and method of using the optimization method to solve the nonlinear equations of K value method such as the limit equilibrium of rigid body. And, when some of the sliding surface negative, adjust the shear direction of the bottom slip surface to eliminate negative values. Comparing the result of this method with that of the nonlinear three-dimensional finite element method, the results show that this method is feasible.