基于微分模型的空间圆弧与椭圆弧插补研究
发布时间：2018-11-27 08:42
【摘要】：针对目前圆弧插补与椭圆弧插补在适用范围、计算效率与精度方面的问题,通过引入微分模型表达空间圆弧与椭圆弧,提出了基于微分模型的空间圆弧与椭圆弧插补方法,能实现空间任意圆弧与椭圆弧的插补。在空间圆弧插补中能实现零径向误差与零速度波动。在空间椭圆弧插补中能实现零径向误差与较低的速度波动。同时,该方法的插补过程统一了圆弧和椭圆弧的正逆插补,无需象限判断,因此插补流程简单高效。另外,该方法采用的插补点递推公式能转换为一系列简单的四则运算,因此插补计算效率高。仿真对比分析表明了该方法相对于目前的方法具有很大的优越性。最后,在自主开发的数控平台上实现了该方法并完成了试件的加工。
[Abstract]:Aiming at the problems in the application range, calculation efficiency and precision of circular arc interpolation and elliptical arc interpolation, a method of space arc and elliptic arc interpolation based on differential model is proposed by introducing differential model to express space arc and elliptic arc. The interpolation of arbitrary circular arc and elliptical arc in space can be realized. Zero radial error and zero velocity fluctuation can be realized in space arc interpolation. Zero radial error and low velocity fluctuation can be realized in space elliptical arc interpolation. At the same time, the interpolation process of this method unifies the forward and inverse interpolation of circular arc and elliptical arc without quadrant judgment, so the interpolation process is simple and efficient. In addition, the interpolation point recursive formula used in this method can be converted into a series of simple four-principle operations, so the interpolation calculation efficiency is high. The simulation results show that this method is superior to the present method. Finally, the method is realized on the NC platform and the sample is processed.
【作者单位】： 北京航空航天大学机械工程及自动化学院;北京市高效绿色数控加工工艺及装备工程技术研究中心;
【基金】：国家自然科学基金资助项目(11290144)
【分类号】：TG659;TP391.7
本文编号：2360093
[Abstract]:Aiming at the problems in the application range, calculation efficiency and precision of circular arc interpolation and elliptical arc interpolation, a method of space arc and elliptic arc interpolation based on differential model is proposed by introducing differential model to express space arc and elliptic arc. The interpolation of arbitrary circular arc and elliptical arc in space can be realized. Zero radial error and zero velocity fluctuation can be realized in space arc interpolation. Zero radial error and low velocity fluctuation can be realized in space elliptical arc interpolation. At the same time, the interpolation process of this method unifies the forward and inverse interpolation of circular arc and elliptical arc without quadrant judgment, so the interpolation process is simple and efficient. In addition, the interpolation point recursive formula used in this method can be converted into a series of simple four-principle operations, so the interpolation calculation efficiency is high. The simulation results show that this method is superior to the present method. Finally, the method is realized on the NC platform and the sample is processed.
【作者单位】： 北京航空航天大学机械工程及自动化学院;北京市高效绿色数控加工工艺及装备工程技术研究中心;
【基金】：国家自然科学基金资助项目(11290144)
【分类号】：TG659;TP391.7
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