中国机械工程2026，Vol.37Issue(3)：604-611,8.DOI:10.3969/j.issn.1004-132X.2026.03.010
负半径滚子直动推杆盘形凸轮机构运动保真及其解域研究
Study on No-undercutting and Its Solution Spaces of Cam Mechanisms with Negative Radius Roller Follower
摘要
Abstract
The issue of"undercutting"in mechanisms with negative radius follower was highly prone to occur and was very prominent.By discovering the offset curve with opposite direction relationship be-tween the cam pitch curve and cam profile,a new criterion was proposed for no-undercutting based on cam pitch curve.Based on this new criterion,the issue of undercutting was conducted in-depth research.Firstly,a coordinate system was established based on the base circle radius and eccentric offset,and the discrete-traversal method was employed.The inevitable/possible undercutting regions were discovered.The new concepts of non-roller-type/roller-type undercutting were proposed.And the impact of stroke,rise/return phase motion angle,and motion law on inevitable undercutting regions were discussed.Sec-ondly,a vertical numerical axis was established based on roller radius to analyze the distribution characteris-tics of two types of roller radius values.Then,based on the three-dimensional coordinate system estab-lished with the base circle radius,eccentric offset,and roller radius,the solution space and two types of non-solution spaces were obtained for ensuring no-undercutting.Two types of cam profile morphological characteristics,specifically the"swallowtail-shaped-type Ⅰ/type Ⅱ"corresponding to the two types of non-solution spaces were analyzed.This solution space expresses the range of values for the base circle ra-dius,eccentric offset,and roller radius that satisfied the no-undercutting conditions,as well as the mini-mum size of the cam profile,etc.Finally,the correctness and effectiveness of the proposed theory and method were verified through design cases.关键词
负半径滚子机构/异向等距曲线/必失真/或失真取值域/运动保真解域Key words
mechanism with negative radius roller/offset curve with opposite direction/inevitable/possible undercutting region/solution space of no-undercutting分类
机械制造引用本文复制引用
胡志超,常勇,杨富富,温圣兴..负半径滚子直动推杆盘形凸轮机构运动保真及其解域研究[J].中国机械工程,2026,37(3):604-611,8.基金项目
国家自然科学基金(51175224,51475209) （51175224,51475209）
