基于等几何法的叶片电解加工过程仿真方法研究

Research on Blade Electrochemical Machining Process Simulation Based on Isogeometric Method

航空发动机叶片具有复杂的加工边界,其电解加工的过程仿真是加工预测的重要手段。而传统基于有限元法的腐蚀过程仿真需要反复划分网格,且存在边界上计算精度不足的问题。提出利用等几何法原理提升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。将阳极边界的腐蚀位移转化为其控制顶点位移,避免反复划分网格所占用的计算时间,提升过程仿真精度。最后,通过试验证明该方法的有效性。

Electrochemical machining process simulation for the blade of aviation engine with complex boundary plays an important role in the machining prediction. Traditional process simulation relies on finite element method which needs to solve the remeshing problem and computational accuracy problem. In this paper, we present an approach for improving the simulation precision based on isogeometric method, which employs NURBS basis function to replace the original Lagrange basis function in the finite element method and solves the Dirichlet boundary condition＇s infliction prob- lem. In the process of simulation, the corrosion displacement is translated into the displacement of the control point which avoids the computation time of remeshing and promotes the simulation precision, as demonstrated in the case of this paper.