直动推杆式直线减速器齿条易加工曲线分析  

Workable rack tooth forms of straight push rod linear reducer.

作　　者：周传喜[1] 黄清世[1] 

机构地区：[1]江汉石油学院机械工程系

出　　处：《石油机械》2001年第1期19-20,2-1,共2页China Petroleum Machinery

基　　金：湖北省自然科学基金资助项目 !(97J110 )

摘　　要：介绍了直动推杆式直线减速器齿条的三种易加工曲线 ,即用正弦机构实现的余弦曲线、用对心曲柄滑块机构实现的两种余弦曲线的组合曲线和用偏心刀具滚切实现的短幅摆线。给出了各种曲线的数学表达式 ,分析比较了各曲线的最小曲率半径 ρmin、最大速度vmax、最大加速度amax及最大的最小压力角 (αmin) max。得出的结论是 ,三种曲线中 ,余弦曲线的最小曲率半径值最大 ,最大速度与最大加速度值最小 ,这符合曲线性能的最好条件。从曲线的综合条件看 ,认为应采用余弦曲线作为直动推杆式直线减速器齿条的齿廓曲线。For the sake of convenience of machining the toothed rack of a straight push rod linear reducer, workable rack tooth forms are often demanded. This article analyzes three curves of rack tooth forms, Which are reallied respectively by sine mechanism, slidercrank mechanism and eccentric cutting tool. The mathematical expressions for these three curves are given, and their minimum curvature radii, maximum velocities and accelerations, and maximum minimum pressure angles are compared. The result of the comparison shows that the cosine curve obtained from the sine mechanism has the best comprehensive characteristics, therefore it should be taken as thecurve of the rack tooth forms of the straight push rod linear reducer.

关 键 词：推杆 机械传动 直线减速器 齿条齿廓 曲线特性 加工 

分 类 号：TH132.46[机械工程—机械制造及自动化]