基于无网格NS-PIM与有限元法的边坡应变能及位移上下限解研究  

Study on Upper and Lower Bound Solutions for Slope Strain Energy and Displacement Based on Mesh-free NS-PIM and FEM

作　　者：张媛[1] 李同春[1,2] 程井[1] 谢浩[1] 

机构地区：[1]河海大学水利水电学院,江苏南京210098 [2]河海大学水资源高效利用与工程安全国家工程研究中心,江苏南京210098

出　　处：《水电能源科学》2015年第3期120-123,共4页Water Resources and Power

基　　金：水资源与水电工程科学国家重点实验室开放基金项目(2012B103);教育部博士点新教师基金项目(20100094120005);国家自然科学基金项目(51009056);水利部公益性行业科研专项经费项目(51338712)

摘　　要：为尽可能精确求解边坡应变能及位移的上下限解的问题,结合无网格NS-PIM方法与有限元法,求解出了离散精度不同的边坡模型的应变能及位移,快速确定了精确解的分布范围,并依据工程精度要求,进一步细化模型以使计算结果逼近精确解。实例计算表明,NS-PIM方法、有限元方法可分别得到应变能和总体位移的上、下限解,为位移监测分析和边坡稳定性评价提供了良好思路。For solving slope strain energy and displacement as exactly as possible,the mesh-free node-based smoothed point interpolation method（NS-PIM）and finite element method（FEM）are combined for solving strain energies and displacements of discrete slope models with different accuracies.And then,the range of exact solutions can be determined quickly.To make the results closer to the exact solution,models are further refined according to specific accuracy requirements of the project.The calculated results of several examples show that the upper and lower bound solutions of strain energies and displacements can be obtained by NS-PIM and FEM,separately.Therefore,it provides a good idea for monitoring analysis of displacement and evaluation of slope stability.

关 键 词：边坡 无网格法 有限单元法 上下限解 应变平滑 

分 类 号：TV311[水利工程—水工结构工程]