负半径滚子直动推杆盘形凸轮机构的可视映射尺度综合与比较优势*

doi:10.3901/JME.2017.01.036

摘要/Abstract

摘要：

针对新型的负半径滚子直动推杆盘形凸轮机构，提出通用有效的可视映射尺寸综合方法。阐释新型机构形态构成、基本/总体尺寸和尺寸综合问题准确描述、求解的基本思路与步骤，提出四项性能评价指标及解析表达，构建尺寸坐标系ORr₀e、尺寸空间Ω(R，r₀， e)并离散化-网格化处理，采取“遍历搜索”思想方法，在解决单一约束下边界线/解域、边界面/解空间基础上，解决归并约束下边界线/解域、边界面/解空间问题，成功实现朝二维、三维尺寸坐标系、尺寸空间的可视映射。据此，发现和揭示“谷底点/脊底点”、“非劣解区间/区域/空间”、“脊面”、“谷底线/脊底线”和“壑底点”等存在性、重要内涵和求解方法，系统全面解决了新型机构的尺寸综合问题。通过尺寸综合结果比较，得到大载荷下，负半径滚子较正半径滚子机构，具有“跨数量级”尺寸紧凑、占据空间小的关键性、重要性结论即其优势所在，对推动、促进广泛付诸工程应用具有重要理论价值和实际意义。

关键词: 比较优势, 尺寸综合, 尺寸坐标系, 谷底点/脊底点, 壑底点, 可视映射, 负半径滚子

Abstract: By considering a disc cam mechanism with negative radius follower, an effective dimension synthesis method based on technology of the visualization-oriented mapping is presented. It shows the new configuration’s form, basic/ general dimension, accurate description and basic steps for dimension synthesis, constructs coordinate systemORr₀e and areaΩ(R, r₀, e) of dimension, then discretizing and gridding the dimension area. By getting the boundary /soluble region and boundary surface/ solution space of single constraint based on the way of “general search”, it also get the boundary/soluble region boundary surface/ solution space of merge constraint, successfully achieving the visual mapping of two-dimensional/three-dimensional coordinate system and scale space. According to the multi objective planning, it shows some important rules such as “bottom point/ ridge point” “non-inferior solution nterval/area/space”, “ crestal plane”, “ thalweg/ridge line”, “ gully bottom”, it also reveals the existence of optimal solution. All the consequences are instructive to the dimension synthesis of the new mechanism with comprehensive system solutions. What’s more, it gets an important conclusion. When bearing enough loading, the disc cam mechanism with negative radius follower has advantages in size compare with radius roller mechanism. This critical advantage has important theoretical value and practical significance to promote new typed mechanism into engineering application.

Key words: bottom point/ ridge point, comparative advantage, dimensional coordinate system, gully bottom point, size synthesis, visual mapping, negative radius roller

常勇, 吴秋平, 陈续扬, 林荣富, 杨富富, 李延平. 负半径滚子直动推杆盘形凸轮机构的可视映射尺度综合与比较优势^*[J]. 机械工程学报, 2017, 53(1): 36-46.

CHANG Yong, WU Qiuping, CHEN Xuyang, LIN Rongfu, YANG Fufu, LI Yanping. Dimension Synthesis of Cam Mechanisms with Negative Radius Follower Based on Technology of the Visualization-oriented Mapping and Comparative Advantage[J]. Journal of Mechanical Engineering, 2017, 53(1): 36-46.

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负半径滚子直动推杆盘形凸轮机构的可视映射尺度综合与比较优势^*

Dimension Synthesis of Cam Mechanisms with Negative Radius Follower Based on Technology of the Visualization-oriented Mapping and Comparative Advantage

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