机械工程学报 >

2017 , Vol. 53 >Issue 1: 36 - 46

DOI: https://doi.org/10.3901/JME.2017.01.036

机构学及机器人

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*

  • 常勇 ,
  • 吴秋平 ,
  • 陈续扬 ,
  • 林荣富 ,
  • 杨富富 ,
  • 李延平
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  • 1. 集美大学机械与能源工程学院 厦门 361021；
    2. 集美大学工程训练中心 厦门 361021
常勇，男，1964年出生，教授，硕士研究生导师。主要研究方向为凸轮与连杆机构学、机构分析/综合可视化等。E-mail：cy13950017369@163.com李延平(通信作者)，女，1963年出生，教授，硕士研究生导师。主要研究方向为RE、RP、RM、机构分析、综合可视化等。E-mail：ypli@jmu.edu.cn

网络出版日期: 2017-01-05

基金资助

* 国家自然科学基金(51475209， 51175224)和福建省自然科学基金(2010J01302， 2006J0169)资助项目; 20160203收到初稿，20161117收到修改稿;

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

  • CHANG Yong ,
  • WU Qiuping ,
  • CHEN Xuyang ,
  • LIN Rongfu ,
  • YANG Fufu ,
  • LI Yanping
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  • 1. School of Mechanical Engineering， Jimei University， Xiamen 361021;
    2. Engineering Training Center， Jimei University， Xiamen 361021

Online published: 2017-01-05

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

本文引用格式

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 . DOI: 10.3901/JME.2017.01.036

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

参考文献

 [1]  国家自然科学基金委员会工程与材料科学部. 机械工程学科发展战略报告[M]. 北京：科学出版社，2010.

        Department of Engineering and Materials Science，National Natural Science Foundation of China. Development strategy report of mechanical engineering discipline(2011-2020)[M]. Beijing：Science Publishing Company，2010.

 [2]  MERLET J P. Jacobian，manipulability，condition number，and accuracy of parallel robots[J]. Trans. ASME Journal of Mechanical Design，2006，128：199-206.

 [3]  PIERROT F J. NABAT V，COMPANY O，et al. Optimal design of a 4-DOF parallel manipulator：From academia to industry[J]. IEEE Transactions on Robotics，2009，25(2)：213-224.

 [4]  ANGELES J，LOPEZ-CAJUN C S. Optimal synthesis of cam mechanisms with oscillating flat face followers[J]. Mechanism and Machine Theory，1988，23(1)：1-6.

 [5]  NAVARRO O，ANGELES J. Size-minimizationof planar cam mechanisms[J]. Mechanism and Machine Theory，2001，36(3)：371-386.

 [6]  华大年. 按许用压力角设计最小尺寸摆动从动杆滚平面凸轮的解析法[J]. 机械工程学报，1982，18(4)：74-79.

        HUA Danian. Analytics of disc cam mechanism with oscillating roller follower in accordance with allowable pressure angle[J]. Journal of Mechanical Engineering，1982，18(4)：74-79.

 [7]  王知行，李瑰贤. 关于直动滚子从动件盘形凸轮基本尺寸的讨论[J]. 机械工程学报，1986，22(4)：86-93.

        WANG Zhixing，LI Guixian. Discussion on the size of disc cam mechanism with translating roller follower[J]. Chinese Journal of Mechanical Engeering，1986，22(4)：86-93.

 [8]  常勇，杨富富. 作平面运动滚子从动件盘形凸轮机构的第Ⅱ类机构综合问题[J]. 机械工程学报，2010，46(21)：35-41.

        CHANG Yong，YANG Fufu. Second mechanism synthesis task of disc cam mechanisms with roller follower moving in planar general motion[J]. Journal of Mechanical Engineering，2010，46(21)：35-41.

 [9]  常勇，杨富富. 作平面运动滚子从动件形锁合凸轮机构的第Ⅱ类机构综合问题[J]. 机械工程学报，2012，48(1)：39-46.

        CHANG Yong，YANG Fufu. Research on second mechanism synthesis task of positive-drive disc cam mechanisms with roller follower moving in planar general motion[J]. Journal of Mechanical Engineering，2012，48(1)：39-46.

[10]  常勇，杨富富，胡志超，等. 作平面运动滚子从动件盘形凸轮机构的广义第Ⅱ类机构综合问题[J]. 机械工程学报，2012，48(15)：47-57.

        CHANG Yong，YANG Fufu，HU Zhichao, et al. Research on the general second mechanism synthesis task of disc cam mechanisms with roller follower moving in planar general motion[J]. Journal of Mechanical Engineering，2012，48(15)：47-57.

[11]  常勇，林荣富，李延平. 浮动平底推杆等宽凸轮机构第Ⅱ类机构综合问题[J]. 农业机械学报，2014，45(4)：310-315.

        CHANG Yong，LIN Rongfu，LI Yanping. Class II synthesis of constant-width cam mechanisms with floating flat-faced follower[J]. Transactions of the Chinese Society for Agricultural Machinery，2014，45(4)：310-315.

[12]  常勇，林荣富，李延平. 做平面运动滚子从动件盘形凸轮机构的深度广义第Ⅱ类综合问题[J]. 中国机械工程，2014，25(16)：2149-2158.

        CHANG Yong，LIN Rongfu，LI Yanping. In-depth general class II synthesis of disc cam mechanisms with roller follower moving in planar general motion[J]. Chinese Mechanical Engineering，2014，25(16)：2149-2158.

[13]  CARRA S，GARZIERA R，PELLEGRINI M. Synthesis of cams with negative radius follower and evaluation of the pressure angle[J]. Mechanism and Machine Theory，2004，39：1017-1032.

[14]杨富富，常勇. 支撑函数法在凸轮机构学中的若干重要新应用[J]，机械传动，2009，33(6)：98-103.

        YANG Fufu，CHANG Yong. Some important and new applications of support-function method in cam mechanisms[J]. Journal of Machine Design，2009，33(6)：98-103.

[15]  杨富富，常勇. 新型滚子从动件盘形凸轮机构的压力角公式推导[J]，机械传动，2009，33(5)：44-47

        YANG Fufu，CHANG Yong. The pressure-angle formulae Derivation of new-type cam mechanisms with follower[J]. Journal of Mechanical Transmission，2009，33(5)：44-47.

[16]  贾延龄，王栋梁，张尚盈，等. 一种新型凸轮机构—凹圆弧底从动件盘形凸轮机构的设计(一)[J]. 机械设计，1998，15(11)：39-41.

        JIA Yanling，WANG Dongliang，ZHANG Shangying，et al. Design of a new cam mechanism-concave arc follower disc cam mechanism(I)[J]. Journal of Machine Design，1998，15(11)：39-41.

[17]  贾延龄，王栋梁，张尚盈，等. 一种新型凸轮机构—凹圆弧底从动件盘形凸轮机构的设计(二)[J]. 机械设计，1998，15(12)：28-29.

        JIA Yanling，WANG Dongliang，ZHANG Shangying，et al. Design of a new cam mechanism-concave arc follower disc cam mechanism(II)[J]. Journal of Machine Design，1998，15(12)：28-29.

[18]  李延平. 正置式凹圆弧底直动从动件盘形凸轮机构的最小尺寸设计[J]. 机械设计，2002，19(8)：30-33.

        LI Yanping. Minimum-size design of cam mechanisms with centric concave-arc translating follower[J]. Journal of Machine Design，2002，19(8)：30-33.

[19]  WU L I，LIU C H，CHEN T W. Disc cam mechanisms with a concave-faced follower[J]. Proc. IMechE Part C：J. Mechanical Engineering Science，2009，223：1-6.

[20]  HIDALGO-MARTINEZ M，SANMIGUEL-ROJAS E，BURGOS M A. Design of cams with negative radius follower using Bezier curves[J]. Mechanism and Machine Theory，2014，82：87-96.

[21]  李晓梅，黄朝晖，蔡勋，等. 并行与分布式可视化技术及应用[M]. 北京：国防工业出版社，2001.

        LI Xiaomei，HUANG Chaohui，CAI Xun，et al. Concurrent and distributed visualization technology and application[M]. Beijing：National Defence Industry Press，2001.

[22]  刘三明. 多目标规划的理论方法及其应用研究[M]. 上海：上海交通大学出版社，2014.

        LIU Sanming. Theory/method and application of multi-objective programming[M]. Shanghai：Shanghai Jiao Tong University Press，2014.

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