基于数值流形法的重力坝抗滑稳定性分析

Analysis of Anti-sliding Stability of Gravity Dam Using Numerical Manifold Method

作为一种新的数值方法,数值流形法在重力坝抗滑稳定性方面的研究较少。首先给出了水压及扬压力的荷载矩阵、安全系数的求解方法,然后采用数值流形法分析了重力坝沿建基面及深层双斜面的抗滑稳定性,得出了安全系数,并与有限元接触分析的结果进行了对比。分析结果表明:采用数值流形法和有限元接触分析法得到的安全系数基本一致,从而验证了数值流形法在重力坝抗滑稳定分析中的可行性。

The Numerical Manifold Method( NMM),as a new numerical method,has seldom been utilized in the anti-sliding stability analysis of gravity dam. In this study,the load matrix of water pressure and uplift pressure,as well as the solution of safety factor were given. Furthermore,NMM was adopted to analyze the anti-sliding stability of the foundation planes of gravity dam and the deeply-laid double-inclined planes,the safety factor was thus calculated,and was further compared with the corresponding results obtained by the contact analysis in finite element method( FEM). The results demonstrated that the safety factors calculated by the above two methods,namely the NMM and FEM,were fundamentally consistent,which verified the feasibility of applying NMM to the anti-sliding stability analysis of gravity dam.