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Key technologies for online pre-compensation of profile errors in three-axis computer numerical control(CNC)machine tools based on cross-coupled dynamics
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作者 Wanjun Zhang Honghong Sun +2 位作者 Derek Northwood Kristian Waters Hao Ma 《MetaResource》 2025年第3期197-223,共27页
A design approach for online pre-compensation of three-axis cross-coupled contour errors with mismatched dynamics is proposed.In the context of cross-coupled contour control design,online pre-compensation of contour e... A design approach for online pre-compensation of three-axis cross-coupled contour errors with mismatched dynamics is proposed.In the context of cross-coupled contour control design,online pre-compensation of contour errors is commonly employed.However,establishing a specific relationship between contour errors is challenging for mismatched computer numerical control(CNC)systems.Therefore,the design of interpolation methods for mismatched systems remains crucial,as most existing systems struggle to be adjusted to match seamlessly.This study introduces an online pre-compensation scheme for cross-coupled contour errors in three-axis motion,which constitutes a compensation system for real-time correction of contour error estimation.The coupling control structure,based on a speed loop,comprises a proportion integration differentiation(PID)control feedback controller,a feedforward controller,and an online pre-compensation cross-coupled contour controller.The experimental results demonstrate that the proposed three-axis cross-coupled contour error pre-compensation scheme significantly enhances the contour accuracy compared to traditional cross-coupled control systems.Moreover,the proposed cross-coupled contour error pre-compensation controller exhibits superior contour performance over conventional cross-coupled controllers when tracking high-order curvature bending paths. 展开更多
关键词 three axis CNC machine tool cross-coupled contour error tracking error online pre-compensation key technologies
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一般三次代数方程求根公式的特殊推导——三元数应用一例
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作者 屈鹏展 《南阳师范学院学报》 CAS 2003年第9期7-10,共4页
应用三元数运算,推导得到了一般三次代数方程的求根公式,结果证明与卡尔丹公式是一致的。
关键词 三次代数方程 公式 卡尔丹公式 三元数 复平面
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