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

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。

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

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.