摘要
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NURBS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NURBS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。
For solving the low precision problem for sensitive boundary which 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 function 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.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2015年第10期1368-1373,共6页
China Mechanical Engineering
基金
国家自然科学基金资助项目(51205320)
陕西省自然科学基金资助项目(2012JQ7002)
关键词
等几何法
叶片电解加工
NURBS基函数
非插值特性
isogeometric analysis
electrochemical machining
NURBS basis function
non-interpolation feature
