【摘要】 以高阶椭圆齿轮为研究对象,根据非圆齿轮啮合的基本原理,建立起非圆齿轮节曲线的数学模型。应用MATLAB的数值计算方法,对椭圆齿轮节曲线的凹凸性进行判断,并对其弧长进行精确的计算。运用三次样条插值法进行拟合,绘制出椭圆齿轮副的节曲线,从而使椭圆齿轮节曲线的设计更加精确快速。另外,还以Pro/E为建模平台,以其提供的关系特征为基础,建立了渐开线齿形与椭圆齿轮基本参数的对应关系,并成功地实现了一对椭圆齿轮的参数化造型设计,为渐开线椭圆齿轮的原形制作和数控加工提供了方便。更多还原

【Abstract】 We established mathematical model of pitch curve of non-circular gear according to the meshing theory of non-circular gears.We studied the convex-concave and arc length of the pitch curves of higher-order elliptic gears using MATLAB.We used cubic spline interpolation method to fit and draw out the gear pair of pitch curve graph in order to make non-circular pitch curve of gear more quickly and accurately.A corresponding relationship was built up among the models of the involute tooth profiles and the basic parameters of elliptic gears by Pro/E.Parametric modeling of a pair of involute elliptic gears was achieved.The convenience for NC machining and prototype’s manufacturing was provided.更多还原