面向叶片电解加工分析的等几何方法

摘要

For solving the low precision problem for sensitive boundary w hich caused by traditional numerical analysis method ,this paper proposed a method of promoting the analysis precision by using the isogeometric analysis .The NURBS basis functions were used to replace the Lagrange basis func-tion for establishing the solving equations of the electrochemical machining gap .The problem of the non-interpolation feature belonged to the NURBS basis functions was settled ,which could bring the errors for imposing Dirichlet boundary condition .At last ,the superiority ,including precision and the rate of convergence ,of the isogeometric analysis was proved by the comparison tests .%为了解决传统数值分析方法在电解加工间隙间电场分布边界敏感问题上计算精度不足的问题，提出利用等几何法原理提高叶片电解加工数值仿真精度的思路，采用N U RBS基函数替代原有拉格朗日基函数建立加工间隙物理场的求解方程组，解决由于N U RBS基函数在边界处非插值特性引起的Dirichlet边界条件施加误差问题。并通过实验证明，等几何方法能提高叶片电解加工数值分析的计算精度和收敛速度。