基于三维多重网格法的抗滑稳定计算精度分析  

Computational accuracy of stability analysis based on 3-D multi-grid method

作　　者：杨强[1] 朱玲[1] 薛利军[1] 

机构地区：[1]清华大学水沙科学与水利水电工程国家重点实验室,北京100084

出　　处：《岩土力学》2008年第1期94-100,共7页Rock and Soil Mechanics

基　　金：国家自然科学基金资助项目(No.50579026);国家重点基础研究发展规划(973)项目(No.2002CB412708)

摘　　要：在以有限元法来分析评价坝基、边坡的稳定安全度时,多重网格法将有限元分析网格和滑移块体的滑面网格作为独立的两套网格,滑面网格可随意切割有限元单元。这样一套有限元网格和一套应力成果就可以进行任意的滑块稳定分析。着重分析了多重网格法的精度。针对三维柱体和锦屏高边坡,研究两套网格如何匹配以提高计算精度进行处理,初步得出了一些有关多重网格法计算精度的知识。最后,应用基于多重网格法的第2类方法分析了锦屏左坝肩高边坡的稳定性问题。The conception and method of multi-grid is brought forward; the mesh of finite element analysis and the sliding surface＇s mesh are deal with as two unattached mesh, and the sliding surface＇s mesh can go across any finite elements. In this way, discretionary sliding blocks＇ analysis can be done with a set of finite element mesh and a set of stress results. The calculation efficiency of multi-grid method is emphatically analyzed. The 3D multi-grid method is applied to a typical 3-D quadrangular and Jinping Project high slope. Nuraerical results show that the properly adjusting the mesh of the finite element models and sliding surfaces can effectively improve the precision and calculation efficiency of this method; especially for the large scale structure. Finally, the stability of Jinping Project high slope is analyzed using the second way of multi-grid method.

关 键 词：插值 刚体极限平衡法 块体 滑动面 

分 类 号：O241[理学—计算数学] TU454[理学—数学]