| 时间分割法正弦曲线插补算法研究 |
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| 引用本文： | 罗欣,李光斌,朱涵梁,杨叔子.时间分割法正弦曲线插补算法研究[J].华中科技大学学报(自然科学版),1994(7). |
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| 作者姓名： | 罗欣 李光斌 朱涵梁 杨叔子 |
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| 作者单位： | 华中理工大学机械科学与工程学院 |
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| 摘 要： | 根据时间分割法的基本思想，从正弦曲线运动的物理意义出发，推导出插补正弦曲线的数学模型，提出一种新算法，分析了理论插补精度，编制出相应的轨迹插补程序．这种插补方法可获得较高的插补精度和插补速度，适用于不带数学协处理器的数控系统．
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| 关 键 词： | 计算机数控 时间分割法 插补原理 精度 |
An Approach to the Time Slicing Interpolation Algorithm for a Sine Curve |
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| Luo Xinof School of Mech.Sci. and Engin.,H.U.S.T.,Wuhan,China., Li Guangbin,Zhu Hanliang, Yang Shuzi.An Approach to the Time Slicing Interpolation Algorithm for a Sine Curve[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1994(7). |
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| Authors: | Luo Xinof School of MechSci and Engin HUST Wuhan China Li Guangbin Zhu Hanliang Yang Shuzi |
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| Institution: | Luo Xinof School of Mech.Sci. and Engin.,H.U.S.T.,Wuhan430074,China., Li Guangbin,Zhu Hanliang, Yang Shuzi |
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| Abstract: | The interpolation algorithm for a sine curve based on the principle of the tiem-slicingmethod and the physical meaning of sinusoidal motion is proposed.A sine curve can be ap-proximated by chords of equal length and each chord is to be machined within a time intervalof the same period. By mapping a sinusoidal motion onto its reference circle,the feed incre-ments along the active axis can be calculated with an iterative formula while that along thepassive axis can be obtained with a recursive formula based on the method of angular approx-imatiOn on the reference circle. With this algorithm,a position error smaller than the trunca-tion error can be guaranteed.An analysis of the approximation accuracy has led to the rela-tionship between it and the feedrate and the corresponding formula for feedrate selection.The correctness of this algorithm has been proved by simulation and industrial tests. |
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| Keywords: | computer numerical control time-slicing method interpolation accuracy |
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