中文摘要：

高阶椭圆锥齿轮是一种典型的非圆锥齿轮传动形式。以空间传动的啮合原理为基础,建立了该锥齿轮传动的空间球面啮合坐标系。分析了节曲线、齿廓及啮合线之间的变化关系;运用空间坐标变换的矩阵法创建了该齿轮的齿面方程。对该非圆锥齿轮的传动比、模数及齿数等基本参数进行了设计,详细分析了偏心率对相关参数的影响变化关系及其规律。应用离散数值法及三维软件,建立了该非圆锥齿轮齿廓的数学模型及虚拟实体模型,并进行了运动仿真及干涉检查。获得了该非圆锥齿轮齿形的设计计算及生成方法,通过实验验证了该方法的正确性。

英文摘要：

Higher-order elliptical bevel gear is a typical form of the noncircular bevel gear transmission. Space spherical coordinate system of the bevel gear meshing is set up based on the meshing theory of space transmission. The varying relationship among the pitch curve,tooth profile and mesh lines are analyzed,and the equation of the gear tooth surface is developed with matrix method based on space coordinate transformation. The basic parameters of the noncircular bevel gear such as transmission ratio,modulus and the number of teeth are designed,and detailed analysis of the influence of the eccentricity on the relevant parameters is carried out as well. By using discrete numerical method and three-dimensional software,the mathematical model of the tooth profile and virtual physical model of the noncircular bevel gear are established,and then simulation on its motion and interference checking are performed. Finally,the approach for design,calculation and generation of the tooth profile is obtained and its correction has been verified by experiment.