Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-10T20:11:11.877Z Has data issue: false hasContentIssue false

Joint dynamic analysis of space manipulator with planetary gear train transmission

Published online by Cambridge University Press:  30 July 2014

Tianfu Yang
Affiliation:
State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, China
Shaoze Yan*
Affiliation:
State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, China
Wei Ma
Affiliation:
China Academy of Space Technology, Beijing, 100094, China
Zengyao Han
Affiliation:
China Academy of Space Technology, Beijing, 100094, China
*
*Corresponding author. E-mail: yansz@mail.tsinghua.edu.cn

Summary

Joints of space manipulators are usually simplified as torsional springs in modeling motion equations, and the nonlinear behaviors of the reducer in the joints are generally neglected. In this study, a dynamic model of a space manipulator that considers the joints that are transmitted through a typical 2K-H planetary gear reducer is developed using the Lagrangian method. The backlash clearances, gear tooth profile error, and time-variant meshing stiffness are integrated into the process. The simulation results show that the backlash clearances lead to the accumulation of positioning errors in the space manipulator when the joints rotate back and forth. The tooth profile error is the main cause of severe acceleration fluctuations and meshing force impacts. These fluctuations influence torque instability, which may accelerate gear system failure.

Type
Articles
Copyright
Copyright © Cambridge University Press 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Yu, S. and Elbestawi, M. A., “Modelling and dynamic analysis of a two-link manipulator with both joint and link flexibilities,” J. Sound Vib. 179 (5), 839854 (1995).CrossRefGoogle Scholar
2.Gibbs, G. and Sachdev, S., “Canada and the international space station program: overview and status,” Acta Astronautica 51 (1–9), 591600 (2002).CrossRefGoogle ScholarPubMed
3.Yu, J. J., Dai, J. S., Zhao, T. S., Bi, S. S. and Zong, G. H., “Mobility analysis of complex joints by means of screw theory,” Robotica 27, 915927 (2009).Google Scholar
4.Komatsu, T., Uenohara, M., Iikura, S., Miura, H. and Shimoyama, I., “Dynamic control for two-link flexible manipulator,” Nippon Kikai Gakkai Ronbunshu, C Hen/Trans. Japan Soc. Mech. Eng. C 55 (516), 20222028 (1989).CrossRefGoogle Scholar
5.Morris, A. S. and Madani, A., “Static and dynamic modelling of a two-flexible-link robot manipulator,” Robotica 14(pt 3), 289300 (1996).CrossRefGoogle Scholar
6.He, B., Gao, F. and Wang, S., “Modeling and simulation of a mechanical arm with joint clearance,” J. Tianjin Univ. Sci. Technol. 38 (9), 795799 (2005). (In Chinese)Google Scholar
7.Nguyen, P. K., Ravindran, R., Carr, R., Gossain, D. M. and Doetsch, K. H., “Structural Flexibility of the Shuttle Remote Manipulator System Mechanical Arm,” Proceedings of the Guidance and Control Conference, San Diego, CA, USA (1982) pp. 246256.Google Scholar
8.Spong, M. W., “Modeling and control of elastic joint robots,” J. Dyn. Syst., Meas. Control 109 (4), 310318 (1987).Google Scholar
9.Ghorbel, F., Hung, J. Y. and Spong, M. W., “Adaptive Control of Flexible-Joint Manipulators,” Proceedings of the 1989 IEEE International Conference on Robotics and Automation, Scottsdale, AZ, USA (May 14–19, 1989) pp. 913.Google Scholar
10.Korayem, M. H. and Nikoobin, A., “Maximum payload for flexible joint manipulators in point-to-point task using optimal control approach,” Int. J. Adv. Manuf. Technol. 38 (9–10), 10451060 (2008).Google Scholar
11.Salmasi, H., Fotouhi, R. and Nikiforuk, P. N., “A biologically inspired controller for trajectory tracking of flexible-joint manipulators,” Int. J. Robot. Autom. 27 (2), 151162 (2012).Google Scholar
12.Hong, L., Liu, Y., Minghe, J., Sun, K. and Huang, J. B., “An experimental study on Cartesian impedance control for a joint torque-based manipulator,” Adv. Robot. 22 (11), 11551180 (2008).Google Scholar
13.Ciliz, M. K., “Adaptive control of robot manipulators with neural network based compensation of frictional uncertainties,” Robotica 23 (2), 159167 (2005).CrossRefGoogle Scholar
14.Subudhi, B. and Morris, A. S., “Singular perturbation based neuro-H-infinity control scheme for a manipulator with flexible links and joints,” Robotica 24 (2), 151161 (2006).CrossRefGoogle Scholar
15.Zhao, J. and Fang, C., “On the joint velocity jump during fault tolerant operations for manipulators with multiple degrees of redundancy,” Mech. Mach. Theory 44 (6), 12011210 (2009).Google Scholar
16.Zhao, J. and Li, Q., “On the joint velocity jump for redundant robots in the presence of locked-joint failures,” J. Mech. Des. 130(10230510), (2008).Google Scholar
17.Zhao, J. and Bai, S., “The study of coordinated manipulation of two redundant robots with elastic joints,” Mech. Mach. Theory 35 (7), 895909 (2000).Google Scholar
18.Gan, D. M., Tsagarakis, N. G., Dai, J. S., Caldwell, D. G. and Seneviratne, L. D., “Stiffness design for a spatial 3-DOF compliant manipulator based on impact configuration decomposition,” Trans. ASME, J. Mech. Robot. 5 (1), 2013, pp. 011002(110).Google Scholar
19.Woosoon, Y., “Adaptive Control of a Flexible Joint Manipulator,” Proceedings of the 2001 ICRA. IEEE International Conference on Robotics and Automation, Seoul, South Korea (2001) pp. 34413446.Google Scholar
20.Du, Z., Xiao, Y. and Dong, W., “Modeling of robot joints with friction, backlash and hysteresis,” Robot 33 (5), 539545 (2011). (In Chinese)Google Scholar
21.Al-Bedoor, B. O. and Almusallam, A. A., “Dynamics of flexible-link and flexible-joint manipulator carrying a payload with rotary inertia,” Mech. Mach. Theory 35 (6), 785820 (2000).Google Scholar