The theory of bonds: A new method for the analysis of linkages

被引:25
|
作者
Hegedues, Gabor [1 ]
Schicho, Josef
Schroecker, Hans-Peter [2 ]
机构
[1] Obuda Univ, John von Neumann Fac Informat, Inst Appl Math, Antal Bejczy Ctr Intelligent Robot, Budapest, Hungary
[2] Univ Innsbruck, Unit Geometry & CAD, A-6020 Innsbruck, Austria
基金
奥地利科学基金会; 美国国家科学基金会;
关键词
Dual quaternions; Bond theory; Overconstrained revolute chain; Overconstrained 5R chain;
D O I
10.1016/j.mechmachtheory.2013.08.004
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper we introduce a new technique, based on dual quaternions, for the analysis of closed linkages with revolute joints: the theory of bonds. The bond structure comprises a lot of information on closed revolute chains with a one-parametric mobility. We demonstrate the usefulness of bond theory by giving a new and transparent proof for the well-known classification of overconstrained 5R linkages. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:407 / 424
页数:18
相关论文
共 50 条
  • [1] THE ANALYSIS OF LINKAGES IN DEMOGRAPHIC-THEORY
    ARTHUR, WB
    DEMOGRAPHY, 1984, 21 (01) : 109 - 128
  • [2] New method for planar linkages analysis based on geometric constraints satisfaction
    Chen, Liping
    Wang, Boxing
    Zhou, Junlong
    Ai, Xing
    Jixie Kexue Yu Jishu/Mechanical Science and Technology, 1998, 17 (06): : 965 - 967
  • [3] The theory of bonds II: Closed 6R linkages with maximal genus
    Hegedues, Gabor
    Li, Zijia
    Schicho, Josef
    Schroecker, Hans-Peter
    JOURNAL OF SYMBOLIC COMPUTATION, 2015, 68 : 167 - 180
  • [4] On mobility analysis of linkages using group theory
    Martínez, JMR
    Ravani, B
    JOURNAL OF MECHANICAL DESIGN, 2003, 125 (01) : 70 - 80
  • [5] On the new methylising method: Methylene bonds out of oxyethylene bonds
    Kotz, A
    Schaeffer, E
    JOURNAL FUR PRAKTISCHE CHEMIE-LEIPZIG, 1913, 88 (13): : 604 - 640
  • [6] Kinematic analysis of Hoberman's Linkages with the screw theory
    Cai, Jianguo
    Xu, Yixiang
    Feng, Jian
    MECHANISM AND MACHINE THEORY, 2013, 63 : 28 - 34
  • [7] Vector method for kinetostatic analysis of planar linkages
    Assylbek Jomartov
    Amandyk Tuleshov
    Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2018, 40
  • [8] APPROXIMATE METHOD FOR DYNAMIC ANALYSIS OF ELASTIC LINKAGES
    MIDHA, A
    ERDMAN, AG
    FROHRIB, DA
    JOURNAL OF ENGINEERING FOR INDUSTRY-TRANSACTIONS OF THE ASME, 1977, 99 (02): : 449 - 455
  • [9] Accuracy analysis of planar linkages by the matrix method
    Psang, Dain Lin
    Jen, Fun Chen
    Mechanism & Machine Theory, 1992, 27 (05): : 507 - 516
  • [10] Vector method for kinetostatic analysis of planar linkages
    Jomartov, Assylbek
    Tuleshov, Amandyk
    JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2018, 40 (02)