中文摘要：

文章从减振降噪和提高工效出发,小轮齿廓采用三段修形。通过改变齿条刀切削刃的形状,以三段抛物线代替齿条刀的直线齿廓,推导出了齿条刀的齿面方程,并给出了轮齿端面齿廓修形量的计算方法。以承载传动误差最小为目标函数,采用复形调优法进行优化,可以获得最佳修形参数。以一对试验人字齿轮为例,通过对修形前后承载传动误差、啮合振动和噪音的比较,验证了该修形优化方法的可行性。

英文摘要：

In order to reduce vibration and noise and to raise working efficiency,we propose a different way of implementing the usual three segment modification of pinion profile.Section 1 of the full paper explains our way of implementing the three segment modification of pinion profile;its core is that we deduce eq.（3） as the cutter surface equation by substituting three segment parabolas for straight lines.Subsections 2.1,2.2 and 2.3 explain how to calculate the desired modification of tooth profile.Section 3 explains how to optimize gear tooth profile;its core is that we choose the minimum transmission error as optimization goal.Finally we give an optimization example that compares the experimental results before gear tooth profile modification with those after such modification.The experimental results are presented in Table 3 and,for saving space,the last paragraph of section 4 merely summarizes instead of presenting other experimental results.Table 3 and the above-mentioned summary show preliminarily that our different way of implementing three segment modification of gear tooth profile is indeed better than existing ones.