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对国外样机配气凸轮型线进行分析时,需要将凸轮升程测量值用数学逼近法导出函数方程。本文讨论了四种数学遥近方法后指出,凑算法精度低而且费时;普通样条函数法使逼近方程通过带误差的测量点,不但不能减小误差,反而保留了这些误差;最小二乘法可使误差最小,精度最高;富里叶级数法用起来方便,精度也高。我们用后两种方法对国外数台样机的配气凸轮进行了数值逼近,逼近的凸轮升程与原凸轮升程测量值相比,最大偏差不大于0.01mm,位移、速度、加速度曲线连续,而且满足动力性要求,收到了满意的结果。
When analyzing cam profiles of foreign prototype cam, it is necessary to derive the function equation by mathematical approximation of the measured value of cam lift. In this paper, we discuss the four kinds of mathematic approaches, and point out that the algorithm has low accuracy and time-consuming. The ordinary spline function approximates the approximation equation through the measurement points with errors, not only can not reduce the errors, but retain the errors. The least- So that the smallest error, the highest accuracy; Fourier series method easy to use, high precision. We use the latter two methods to numerical approximation of the cam with several prototypes abroad. The maximum deviation of the approaching cam lift is less than 0.01mm compared with that of the original cam lift. The displacement, velocity and acceleration curves are continuous, And to meet the dynamic requirements, has received satisfactory results.