由补偿法构建封闭非圆齿轮节曲线  

Creating Pitch Curve of Closed Noncircular Gear by Compensation Method

作　　者：刘大伟[1] 任廷志[1] 

机构地区：[1]燕山大学机械工程学院,秦皇岛066004

出　　处：《机械工程学报》2011年第13期147-152,共6页Journal of Mechanical Engineering

基　　金：河北省自然科学基金资助项目(E2008000819)

摘　　要：由于现有的封闭非圆齿轮设计方法不能满足任意给定的传动要求,提出基于补偿思想的构建封闭非圆齿轮的方法。首先给出该方法的机理与运算步骤,根据曲线的光滑特性和节曲线的封闭条件,推导由传动比函数获得节曲线方程的过程;然后根据连铸机结晶器的非正弦振动形式,构建适用于此运动过程的一对非圆齿轮节曲线,针对传动比范围过大引起的根切或压力角过大的情况,提出由两对非圆齿轮串联组合的方法,并给出两对非圆齿轮节曲线的设计方法。以实际工程应用为例,分别计算由一对和两对非圆齿轮获得非正弦振动方式的节曲线,从而说明该方法的实用性。Because the existing method to design closed noncircular gears cannot satisfy an arbitrarily given transmission ratio,a new design method based on compensation is proposed to create noncircular pitch curve by transmission function.The mechanism and design steps of the method are given.According to the characteristics of smooth curve and closed pitch curve,the pitch curve equations to satisfy the known transmissions ratio are derived.Then on the basis of the non-sinusoidal oscillation form of continuous casting mould,a pair of noncircular pitch curves is built to adjust this movement.In view of the undercutting and excessive pressure angle as a result of wide range of transmission ratio,the method of series combination of two pairs of noncircular gears is presented,and the method of designing their pitch curves is given.In an actual engineering application,pitch curves are computed respectively to achieve non-sinusoidal oscillation by one and two pairs of noncircular gears,which illustrates the practicability of the proposed method.

关 键 词：非圆齿轮 节曲线 非正弦振动 串联齿轮 

分 类 号：TH132[机械工程—机械制造及自动化]