平面内齿轮一次包络鼓形蜗杆传动参数优化

Optimization of Parameters for Planar Internal Gear Primary-enveloping Crown Worm Drive

平面内齿轮一次包络鼓形蜗杆传动是一种新型蜗杆传动,为了获得优良的啮合性能,其设计参数的选择是一个复杂而困难的问题。针对这一问题,以微分几何和空间啮合理论为基础建立传动副的啮合性能方程,提出一种在保证蜗杆强度和齿面不根切等的条件下,基于传动副宏微观啮合性能的多目标蜗杆参数优化设计方法。选用遗传算法进行计算求解并得出合理设计参数,与传统设计所得参数相比,由该组参数所形成的传动副具有更为优良啮合性能。以优化后设计参数制作样机并进行传动性能试验,结果表明样机具有较大的承载能力和较高的传动效率。研究工作为该传动的推广应用奠定了理论及试验基础。

As a new worm drive, it is difficult to choice parameters of planar internal gear primary-enveloping crown worm drive for the acquisition of the excellent meshing performance. Aiming at this question, the meshing performance equations are established basing on the theory of differential geometry and gear meshing. A new multi-object parameters optimization method is presented based on the macroscopic meshing performance and the microcosmic meshing performance. Based on its characters, the equation is solved using the genetic algorithm. The result of analysis proves that the method is effective and possible and the parameters can acquire the excellent meshing performance. The prototype is manufactured based on the optimized parameters, and the transmission performance is tested. The results show that the prototype has a larger carrying capacity and higher transmission efficiency.