基于等效误差法的凸轮磨削算法研究

为提高凸轮磨削的加工精度和解决凸轮磨削系统的磨削精度问题, 提出了基于等效误差法和B 样条曲线的凸轮磨削平台的轮廓控制策略。运用B 样条曲线插补的方法给出两轴运动命令指令, 将凸轮的升程数据通过B 样条反算法进行处理得到生成序列的控制顶点等参数, 从而进行插补运算。根据等效轮廓误差为被控对象, 以建立凸轮磨削系统中的非线性等效误差模型, 将两轴跟踪精度问题转化为等效误差稳定化问题, 进而将计算得到控制输入值补偿到两轴, 从而对轮廓误差进行补偿。为使设计的控制器与B 样条曲线产生的指令兼容, 采用Sylvester 隐式化方法将B 样条曲线的参数形式转换为代数形式, 结合使用两种方法进行控制器设计,以满足数控凸轮磨削平台的高精度加工要求。通过在Sinulink 仿真平台实验表明, 该方法可行且有效减小了系统的轮廓误差和跟踪误差, 同时具有良好的轮廓性能。

Research on Cam Grinding Algorithm Based on Equivalent Error Method

In order to improve the machining accuracy of cam grinding and solve the grinding accuracy problem of cam grinding system, the contour control strategy of cam grinding platform based on equivalent error method and B spline curve is put forward. By using B spline interpolation method, the motion command is given, and the lift data of the cam is processed by B spline inverse algorithm to obtain the control points of the generated sequence, to interpolate operation. Using the equivalent contour error as the object, the nonlinear equivalent error model of cam grinding system is established, such two axis tracking precision problems become equivalent error stabilization problems. And the control input value is calculated for compensation of contour error. In order to make the controller and the B spline curve design instruction compatible with Sylvester implicit method, B spline curve parameters are converted into algebraic form, combined with the use of two methods to design the controller for high precision machining CNC cam grinding platform requirements. The proposed control strategy is demonstrated on the Sinulink simulation platform, It is proved that this method is feasible and effective, reduces the contour error and tracking error of the system, and has good contour performance.