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
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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；运动保真解域中图分类号：TH112DOI：10.3969/j.issn.1004-132X.2026.03.010 开放科学（资源服务）标识码（OSID）：
Abstract：The issue of“undercutting”in mechanisms with negative radius follower was highly prone to occur and was very prominent.By discovering the ofset curve with opposite direction relationship between the cam pitch curve and cam profile，a new criterion was proposed for no-undercuting based on cam pitch curve. Based on this new criterion，the issue of undercuting was conducted in-depth research. Firstly，a coordinate system was established based on the base circle radius and eccentric ofset，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 undercuting regions were discussed. Secondly，a vertical numerical axis was established basedon roler radius to analyze the distribution characteristics of two types of roler radius values. Then，based on the three-dimensional coordinate system established 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 radius，eccentric ofset，and roller radius that satisfied the no-undercutting conditions，as wellas the minimum size of the cam profile，etc. Finally，the correctness and effectiveness of the proposed theory and method were verified through design cases.
Key words：mechanism with negative radius roller; offset curve with opposite direction; inevitable/ possible undercuting region; solution space of no-undercutting
0 引言
盘形凸轮机构结构简单，工作可靠，对函数、位置和轨迹等复杂多样的机构综合问题具有良好适应性，在轻工、纺织、医药、印刷和包装等众多行业领域中获得了广泛的应用。（剩余13400字）
