A unified input-output analysis of four-bar linkages

被引:33
|
作者
Bai, Shaoping [1 ]
Angeles, Jorge [2 ]
机构
[1] Aalborg Univ, Dept Mech Engn, DK-9220 Aalborg, Denmark
[2] McGill Univ, Ctr Intelligent Machines, Dept Mech Engn, Montreal, PQ H3A 2K6, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
dual numbers; four-bar linkages; the principle of transference; robust input-output analysis;
D O I
10.1016/j.mechmachtheory.2007.01.002
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Proposed in this paper is a unified, robust algorithm for the input-output analysis of planar, spherical and spatial four-bar linkages. Robustness is needed to account for architecture and algebraic singularities that are likely to occur, for example, when conducting an iterative optimization of the linkage at hand. The unified feature of the algorithm is based on the algebra of dual numbers and the Principle of Transference, which allows the extension of the algorithm developed for spherical linkages to their spatial counterparts by a simple dualization of the real geometric relations derived for the former. Numerical examples are included to demonstrate the application of the algorithm. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:240 / 251
页数:12
相关论文
共 50 条
  • [1] Input-Output Equation for Planar Four-Bar Linkages
    Hayes, M. John D.
    Husty, Manfred L.
    Pfurner, Martin
    [J]. ADVANCES IN ROBOT KINEMATICS 2018, 2019, 8 : 12 - 19
  • [2] Integration method for input-output modeling and error analysis of four-bar polymer compliant micromachines
    Chang, RJ
    Wang, YL
    [J]. JOURNAL OF MECHANICAL DESIGN, 1999, 121 (02) : 220 - 228
  • [3] Planar and spherical four-bar linkage vi-vj algebraic input-output equations
    Hayes, M. John D.
    Rotzoll, Mirja
    Bucciol, Quinn
    Copeland, Zachary A.
    [J]. MECHANISM AND MACHINE THEORY, 2023, 182
  • [4] A Revisit of the Planar Four-Bar Linkage Synthesis Problem for Two and Three Input-Output Positions
    Simionescu, P. A.
    [J]. PROCEEDINGS OF THE 2022 USCTOMM SYMPOSIUM ON MECHANICAL SYSTEMS AND ROBOTICS, 2022, 118 : 188 - 197
  • [5] An integrated design approach of four-bar linkages with variable input speed
    Yan, HS
    Soong, RC
    [J]. JSME INTERNATIONAL JOURNAL SERIES C-MECHANICAL SYSTEMS MACHINE ELEMENTS AND MANUFACTURING, 2004, 47 (01) : 350 - 362
  • [6] Inverse kinetostatic analysis of compliant four-bar linkages
    Belfiore, Nicola Pio
    Simeone, Pasquale
    [J]. MECHANISM AND MACHINE THEORY, 2013, 69 : 350 - 372
  • [7] A Blend of Delassus Four-Bar Linkages
    Lee, Chung-Ching
    Herve, Jacques M.
    [J]. COMPUTATIONAL KINEMATICS (CK2013), 2014, 15 : 165 - 173
  • [8] Approximate synthesis of four-bar linkages
    Ferdinand Freudenstein
    [J]. Resonance, 2010, 15 (8) : 740 - 767
  • [9] Multi-modal Continuous Approximate Algebraic Input-Output Synthesis of Planar Four-Bar Function Generators
    Copeland, Zachary A.
    Hayes, M. John D.
    [J]. PROCEEDINGS OF THE 2022 USCTOMM SYMPOSIUM ON MECHANICAL SYSTEMS AND ROBOTICS, 2022, 118 : 10 - 19
  • [10] An analysis on fundamental frequency features of elastic four-bar linkages
    Meng, XJ
    Zhang, C
    [J]. ELEVENTH WORLD CONGRESS IN MECHANISM AND MACHINE SCIENCE, VOLS 1-5, PROCEEDINGS, 2004, : 446 - 447