The Gantry-Tau parallel kinematic machine-kinematic and elastodynamic design optimisation

被引:11
作者
Tyapin, Ilya [2 ]
Hovland, Geir [1 ]
机构
[1] Univ Agder, Grimstad, Norway
[2] Lulea Univ Technol, S-95187 Lulea, Sweden
关键词
PKM; Evolutionary; Design; Optimisation; Flexible; Dynamics; Model; MANIPULATORS; WORKSPACE; DYNAMICS; PLATFORM; ROBOT;
D O I
10.1007/s11012-010-9394-9
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
One of the main advantages of the Gantry-Tau machine is a large accessible workspace/footprint ratio compared to many other parallel machines. The optimal kinematic, elastostatic and elastodynamic design parameters of the machine are still difficult to calculate and this paper introduces an optimisation scheme based on the geometric and functional dependencies to define the workspace and first resonance frequency. This method assumes that each link and universal joint can be described by a mass-spring-damper model and calculates the transfer function from a Cartesian force or torque to Cartesian position or orientation. The evolutionary algorithm based on the complex search method is compared to the gradient-based search function in Matlab integrated optimisation toolbox. Kinematic design obtained by optimisation according to this paper gives a 2D workspace/footprint ratio more than 1.66 and first resonance frequency is more than 50 Hz with components of an existing lab prototype at the University of Agder, Norway.
引用
收藏
页码:113 / 129
页数:17
相关论文
共 32 条
  • [1] [Anonymous], 1984, Multiple objective optimization with vector evaluated genetic algorithms
  • [2] [Anonymous], 1988, ASME J MECH T AUTOM
  • [3] Brog?rdh, 2008, P 2 INT WORKSH FUND
  • [4] BROGARDH T, 2000, P S COMM LEG WORKS L
  • [5] Architecture optimization of a 3-DOF translational parallel mechanism for machining applications, the Orthoglide
    Chablat, D
    Wenger, P
    [J]. IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION, 2003, 19 (03): : 403 - 410
  • [6] Dynamic and compliant characteristics of a Cartesian-guided tripod machine
    Chen, JS
    Hsu, WY
    [J]. JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING-TRANSACTIONS OF THE ASME, 2006, 128 (02): : 494 - 502
  • [7] Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art
    Coello, CAC
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (11-12) : 1245 - 1287
  • [8] DASHY A, 2002, P 7 INT C CONTR AUT, P962
  • [9] Accuracy of kinematic and dynamic models of a Gantry-Tau parallel kinematic robot
    Dressler, Isolde
    Robertsson, Anders
    Johansson, Rolf
    [J]. PROCEEDINGS OF THE 2007 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION, VOLS 1-10, 2007, : 883 - 888
  • [10] FATTAH A, 1995, IEEE INT CONF ROBOT, P627, DOI 10.1109/ROBOT.1995.525354