Optimal solution method for the cable catenary between cable-driven parallel robots

被引：0
|
作者：
Wei H. [1 ]
Qiu Y. [2 ]
Sheng Y. [2 ]
Chen H. [1 ]
Lu Q. [1 ]
机构：
[1] College of Mechanical and Electrical Engineering, Foshan University, Foshan
[2] School of Mechanical-Electrical Engineering, Xidian University, Xi'an
来源：
Qinghua Daxue Xuebao/Journal of Tsinghua University | 2021年 / 61卷 / 03期
关键词：
Analytic solutions; Cable-driven parallel robots; Cables; Catenary models; Numerical solutions;
D O I：
10.16511/j.cnki.qhdxxb.2020.26.019
中图分类号：
学科分类号：
摘要：
Accurate dynamic models are difficult to develop for long-span cable-driven parallel robots. This paper presents a reduced dimension optimization method for designing nonlinear cable catenaries. This paper gives the differential equation for the catenary and its boundary conditions. The dimension of the transcendental equation of the catenary model was then reduced according to the boundary conditions with the analytical solution obtained using the substitution method and the Taylor expansion method. Then, the Newton method was used to numerically solve the catenary model to study the range and characteristics of the numerical solution. Finally, the effectiveness of the reduced dimension optimization method are verified by examples. This research provides a theoretical basis for accurate dynamic modeling and real-time motion stability control strategies for cable-driven parallel mechanisms. © 2021, Tsinghua University Press. All right reserved.
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页码：224 / 229
页数：5
相关论文
共 32 条
  • [1] JIANG X L, BARNETT E, GOSSELIN C., Periodic trajectory planning beyond the static workspace for six-DOF cable-suspended parallel robots, IEEE Transactions on Robotics, 34, 3, pp. 781-793, (2018)
  • [2] TANG X Q., An overview of the development for cable-driven parallel manipulator, Advances in Mechanical Engineering, 6, (2014)
  • [3] LIN J Q, WU C Y, CHANG J L., Design and implementation of a multi-degrees-of-freedom cable-driven parallel robot with gripper, International Journal of Advanced Robotic Systems, 15, 5, pp. 1-10, (2018)
  • [4] LI H, YAO R., Optimal orientation planning and control deviation estimation on FAST cable-driven parallel robot, Advances in Mechanical Engineering, 6, (2014)
  • [5] KUAN J Y, PASCH K, HERR H., A high-performance cable-drive module for the development of wearable devices, IEEE/ASME Transactions on Mechatronics, 23, 3, pp. 1238-1248, (2018)
  • [6] DOUADI L, SPINELLO D, SARFRAZ W., Planar kinematics analysis of a snake-like robot, Robotica, 32, 5, pp. 659-675, (2014)
  • [7] XIAO Y W, LIN Q, ZHENG Y Q, Et al., Model aerodynamic tests with a wire-driven parallel suspension system in low-speed wind tunnel, Chinese Journal of Aeronautics, 23, pp. 393-400, (2010)
  • [8] GOUTTEFARDE M, COLLARD J F, RIEHL N, Et al., Geometry selection of a redundantly actuated cable-suspended parallel robot, IEEE Transactions on Robotics, 31, 2, pp. 501-510, (2015)
  • [9] AFLAKIANA A, SAFARYAZDIB A, MASOULEH M T, Et al., Experimental study on the kinematic control of a cable suspended parallel robot for object tracking purpose, Mechatronics, 50, pp. 160-176, (2018)
  • [10] ZI B, WANG N, QIAN S, Et al., Design, stiffness analysis and experimental study of a cable-driven parallel 3D printer, Mechanism and Machine Theory, 132, pp. 207-222, (2019)
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