Gerotors are positive displacement machines known for being cost-effective, durable, compact, and quiet and are used in many low-pressure applications. Nearly any smooth curve can define a gerotor gearset, yet three conventional profile types that are based on either epitrochoids, hypotrochoids, or cycloids are used almost exclusively in industry. Although each of the profile types has been known since the early 20th century, no extensive comparison has been made between them. In the present work a multi-objective optimization strategy using a genetic algorithm is used to find the Pareto front for each profile type when considering seven performance goals. The optimal designs of each profile type were combined, and a new set of Pareto designs was identified. The results showed that no single profile type can be considered universally better than the others. However, some observations about the general trade-offs for each profile type are presented, and the work serves as a baseline for development of novel gerotor profiles.

Gerotor是一种正排量机器，以经济高效，耐用，紧凑和安静而著称，并用于许多低压应用中。几乎任何平滑的曲线都可以定义齿轮传动齿轮，但是基于上摆线，下摆线或摆线的三种常规轮廓类型几乎仅在工业中使用。尽管每种轮廓类型自20世纪初期就已为人所知，但它们之间没有进行广泛的比较。在当前的工作中，当考虑七个性能目标时，使用遗传算法的多目标优化策略用于找到每种配置文件类型的Pareto前沿。组合了每种配置文件类型的最佳设计，并确定了一组新的帕累托设计。结果表明，没有任何一个概要类型可以被普遍认为比其他概要更好。但是，提出了关于每种轮廓类型的一般权衡的一些观察结果，并且该工作为开发新型齿轮齿轮廓提供了基线。