对数螺旋线齿锥齿轮齿面的形成及传动原理(Ⅲ)

Research on gearing theory of logarithmic spiral bevel gear(Ⅲ)

利用空间双参数曲面族包络理论推导了对数螺旋线齿锥齿轮的共轭齿面方程,在此基础上详细分析了对数螺旋线齿锥齿轮齿轮副啮合过程中齿面上的啮合线和接触线,并借助将曲面接触问题转化为曲线接触问题的研究方式,对齿轮齿面形状、特性等进行了充分的论证,研究和分析结果表明:对数螺旋线齿锥齿轮的共轭齿面也为对数螺旋曲面,从而进一步证明了该种新型齿轮传动应用于工程实际的可能性。

The equation of the conjugate flank of logarithmic spiral bevel gear was derived from wrapping theory, and the line of action and the line of contact were both detailedly analyzed during the engagement of the gear pair based on the equation. The demonstrations of the conjugate flank, such as the shape and the characteristic, etc., were made fully by virtue of the research way of transforming curved surfaces to curves study. The results of the demonstrations indicate the conjugate flank of logarithmic spiral bevel gear is logarithmic soiral curved surface, too.