考虑插补动力学的加工进给速度和周期的精确预测
Accurate Prediction Of Machining Feedrate And Cycle Time Prediction Considering Interpolator Dynamics
摘要：
本文提出了一种精确的加工进给速度预测技术，通过建模的轨迹生成行为的现代数控机床。通常，CAM系统基于命令的进给速率和路径几何形状来模拟机器运动。这种方法没有考虑机床数控系统的进给规划和插补策略。在这项研究中，轨迹生成行为的数控系统建模和精确的周期时间预测复杂的加工刀具路径实现。数控系统的线性插补动力学和命令轴运动轮廓预测使用有限脉冲响应（FIR）的低通滤波器。对直线段不间断插补过程中的角点融合行为进行了建模，并首次对任意几何形状的3轴刀具路径进行了满足公差和加工约束的最小转弯进给速度的解析计算。该方法适用于4个不同的情况下，包括复杂的加工刀具路径的研究。实验验证表明，实际周期时间可以估计超过90%的准确度，大大优于基于CAM的预测。预计该方法将有助于提高虚拟加工模型的准确性，并支持企业在计算加工过程成本时的决策。
英文摘要：
This paper presents an accurate machining feedrate prediction technique by modeling the trajectory generation behaviour of modern CNC machine tools. Typically, CAM systems simulate machines motion based on the commanded feedrate and the path geometry. Such approach does not consider the feed planning and interpolation strategy of the machines numerical control (NC) system. In this study, trajectory generation behaviour of the NC system is modelled and accurate cycle time prediction for complex machining toolpaths is realized. NC systems linear interpolation dynamics and commanded axis kinematic profiles are predicted by using Finite Impulse Response (FIR) based low-pass filters. The corner blending behaviour during nonstop interpolation of linear segments is modeled, and for the first time, the minimum cornering feedrate, that satisfies both the tolerance and machining constraints, has been calculated analytically for 3 axis toolpaths of any geometry. The proposed method is applied to 4 different case studies including complex machining tool-paths. Experimental validations show actual cycle times can be estimated with greater than 90 percent accuracy, greatly outperforming CAM-based predictions. It is expected that the proposed approach will help improve the accuracy of virtual machining models and support businesses decision making when costing machining processes.
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