Neumann展开Monte Carlo随机无网格伽辽金法的镗刀位移变异分析

本文用Neumann展开Monte Carlo随机无网格伽辽金法(NMC-SEFGM)进行了随机结构分析。在随机无网格伽辽金法中,所求解问题的域由分布的节点表示,并采用移动最小二乘函数近似试函数以及用罚函数法施加本质边界条件。同时利用Neumann展开法,建立了随机结构分析的Neumann展开Monte Carlo随机无网格伽辽金法,并应用于镗刀杆工作位移的变异分析。数值实例表明Neumann展开Monte Carlo随机无网格伽辽金法适用于材料变异系数大和要求精度高的随机结构分析。

THE ANALYSIS OF THE DISPLACEMENT VARIANCE OF THE BORING CUTTER USING NEUMANN EXPANSION MONTE CARLO STOCHASTIC ELEMENT-FREE GALERKIN METHOD

The stochastic structure has been analyzed by Neumann expansion Monte Carlo stochastic element-free Galerkin method(NMC-SEFGM).In stochastic element-free Galerkin method(SEFGM),the problem domain is represented by properly scattered points.SEFGM uses the moving least squares to construct trial function and the essential boundary conditions are imposed by penalty function method.By applying the Neumann expansion method,a Neumann expansion Monte Carlo stochastic element-free Galerkin method in probabilistic structural analysis is constructed,and is applied to analyze the displacement variance of the boring cutter in working.Numerical example shows that Neumann expansion Monte Carlo stochastic element-free Galerkin method can be applied in probabilistic structural analysis with the large variance coefficient and the high precise.