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    • 9. 发明授权
    • Involute interpolation speed controlling method
    • 插值速度控制方法
    • US4899096A
    • 1990-02-06
    • US309669
    • 1989-02-07
    • Hideaki KawamuraKentaro FujibayashiToshiaki Otsuki
    • Hideaki KawamuraKentaro FujibayashiToshiaki Otsuki
    • G05B19/4103G05B19/41G05B19/416
    • G05B19/41G05B2219/34144
    • An involute interpolation method for use in machining by a numerical control apparatus.A rotational direction (G03.1) of an involute curve, coordinates of an end point (Xe, Ye), a center position (I, J) of a base circle as viewed from a start point, and a radius (R) of the base circle are instructed, from two equations representing the involute curve sequence of points are obtained, and interpolation of the involute curve is performed while interpolating those points in a range of the angle .theta. corresponding to the start point on the involute curve to the end point thereon.The increment of .theta. is decremented in proportion to the increment of the angle owing to the factor K/ (R.multidot..theta.), so that the interpolation is performed in such a manner that the speed in the tangential direction is made at constant, whereby a machining speed of the involute curve is maintained at constant.
    • 一种用于数控机械加工的渐开线插补方法。 渐开线曲线的旋转方向(G03.1),终点(Xe,Ye)的坐标,从起点观察的基圆的中心位置(I,J)和半径(R) 指示基圆,从获得表示渐开线曲线序列的两个方程式获得渐开线曲线的内插,同时在与渐开线曲线上的开始点对应的角度θ的范围内插入那些点到最后 点上。 由于因子K /(Rxθ),θ的增量与角度的增量成比例地减小,使得以使得切线方向上的速度恒定的方式执行插值,由此进行加工 渐开线曲线的速度保持恒定。