高阶椭圆锥齿轮泵的流量特性

Flow characteristics of high-order ellipse bevel gear pump

针对齿轮泵的变量功能及非圆锥齿轮的应用,提出了一种新型相交轴变量齿轮泵——高阶椭圆锥齿轮泵.该齿轮泵是以高阶椭圆锥齿轮为工作转子的非圆锥齿轮泵.根据齿轮的空间啮合原理,给出了其工作转子高阶椭圆锥齿轮副的齿形生成方法.基于该种齿轮特殊的运动学特性,分析了高阶椭圆锥齿轮泵的传动特性,并对其工作结构进行了设计.依据球面微分理论,推导出了高阶椭圆锥齿轮泵的平均理论流量公式、瞬时流量公式以及流量脉动公式,同时分析了高阶椭圆锥齿轮的偏心率、阶数等参数对其流量特性的影响.在同等参数模型及工况条件下,将对高阶椭圆锥齿轮泵的平均理论流量、瞬时流量及其变量范围与圆柱齿轮泵和非圆柱齿轮泵的流量特性进行了对比分析,获得了该锥齿轮泵在同等条件下排量最大、变量范围最大的特点.

Aiming at the function of variable displacement gear pumps and the application of noncircular bevel gears,a kind of new intersection axis variable gear pump named higher order elliptic bevel gear pump was proposed.The gear pump is a non-circular bevel gear pump which takes the high-order ellipse bevel gear as working rotor.The gear profile formative method of gear rotor can be provided based on the space engagement theory.Transmission characteristic of the pump was analyzed according to the special kinematic traits of ellipse gear.Average theoretical flow formula,instantaneous flow formula and flow pulsation formula of this pump were deduced base on the differential theory of spherical space.Meanwhile the impact of eccentricity ratio and exponent number on flow characteristic was also analyzed.Average theoretical flow and instantaneous flow of high-order ellipse bevel gear pump were compared with both cylindrical gear one and noncircular cylindrical gear one under the same work condition and similar model parameter,and which shows that the characteristic of high-order ellipse bevel gear pump owns the features of higher delivery and wider range of variation.