Vibration Analysis of Tendon-Based Parallel Robot for Processing

Abstract:

The vibration characteristics of the tendon-based parallel robot for processing are presented. Firstly, the free vibration equations of the robot on the stable position and orientation were modeled, and secondly the natural frequencies were deduced from the transformation of principal coordinates into modal coordinates. Next, cutting-force model was introduced and the solutions of the forced vibration equations were obtained from the Runge-Kutta method, where the minimum natural frequency was taken as basis of the time step that was important for computation convergence. Lastly, the algorithm was verified by simulations, also including solution transformation of time domain into frequency domain by Fast Fourier Transformation (FFT). The vibration properties could be manifested clearly by the solutions in frequency domain. The results show that the eccentricity and the mass of the moving platform are the important factors to make system instable in certain excitation frequency.

• Periodical: Advanced Materials Research (Volumes 655-657)
• Pages: 1086-1091
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.655-657.1086
• Online since: January 2013
• Authors: Ao Fei Tang, Yan Li, Ling Fei Kong, Xiao Juan Cheng
• Keywords: FFT Algorithm, Modal Analysis, Runge-Kutta Method, Tendon-Based Parallel Robot

References

[1] W. B. lim, G. Yang, S. H. Y, et al. A generic force-closure analysis algorithm for cable-driven parallel manipulators, Mechanism and Machine Theory, Vol 46, No. 9 (2011), pp.1265-1275.

DOI: 10.1016/j.mechmachtheory.2011.04.006

[2] P. Bosscher and I. Ebert-Uphoff. A stability measure for cable-driven underconstrained robots. Proceedings of the 2004 IEEE International conference on Robotics 8 Automation. New Orleans, LA, (2004).

DOI: 10.1109/robot.2004.1302501

[3] B. Zhang, Y. Kobayashi,T. Chiba, et al. Robotic patch-stabilizer using wire driven mechanism for minimally invasive fetal surgery. 31st annual international conference of the IEEE EMBS, Minneapolis, Minnesota, USA (2009).

DOI: 10.1109/iembs.2009.5334245

[4] Ou. Ma and X. M. Diao. Dynamics analysis of a cable-driven parallel manipulator for hardware-in-the-loop dynamic simulation. Proceedings of the 2005 IEEE/ASME International Conference on Advanced intelligent Mechatronics. Monterey, California, USA (2005).

DOI: 10.1109/aim.2005.1511113

[5] J. L. Du, H. Bao, X. C. Duan and C. Z. Cui. Jacobian analysis of a long-span cable-driven manipulator and its application to foward solution. Mechanism and Machine Theory, Vol. 45 (2010), pp.1227-1238.

DOI: 10.1016/j.mechmachtheory.2010.05.005

[6] B. Zhang, M. Y. Zhao and L. J. Fang. Study on dynamics of a 6-DOF wire driven parallel robot. Mechanical science and technology, Vol. 23, No. 6 (2004), pp.735-738 (in Chinese).

[7] G. Meunier, B. Boulet and M. Nahon. Control of an overactuated cable-driven parallel mechanism for a radio telescope application. IEEE transactions on control systems technology, Vol. 17, No. 5 (2009), pp.1043-1054.

DOI: 10.1109/tcst.2008.2004812

[8] A. F. Tang, Y. Li, H. Qu and J. B. Xiao. Dynamics modeling and simulating analysis of a Wire Driven Parallel mechanism. Procedia Engineering. Vol. 15 (2011), pp.788-794.

DOI: 10.1016/j.proeng.2011.08.147

[9] Z. Q. Li. Dynamic modeling, Simulation and optimization of high speed milling under complicated cutting conditions. Doctor's dissertation, Beihang University (2008). (in Chinese).