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A Study of Transmission Error Modeling and Preload Compensation for the Cable-Driven Sheaves Used in Space Docking Locks

Published online by Cambridge University Press:  28 October 2020

Chuntian Xu Open the ORCID record for Chuntian Xu [Opens in a new window] ,
Jianguang Li ,
Peng Wang  and
Zhengdong Xu
Chuntian Xu*
Affiliation:
School of Mechanical Engineering and Automation, University of Science and Technology LiaoNingAnShan, China
Jianguang Li
Affiliation:
School of Mechatronics Engineering, Harbin Institute of TechnologyHarbin, China
Peng Wang
Affiliation:
Shanghai Institute of Aerospace System Engineering Shanghai, China
Zhengdong Xu
Affiliation:
School of Mechanical Engineering and Automation, University of Science and Technology LiaoNingAnShan, China
*
*Corresponding author (xuchuntian@163.com)
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Abstract

The transmission error of cable-driven sheaves (CDS) used in space docking locks directly affects the synchronous docking of two spacecraft, which is guaranteed mainly by the preload applied to their serial cables. But it is difficult controlled precisely because of the complicated cable deformation and operating conditions. The synchronous testing efficiency of the docking locks is inevitably influenced, correspondingly. This paper proposes a prediction model for the transmission error of CDS based on their cable deformation. In this model, the deformations of non- and free sectional cables are both modified on finite element analysis, which are respectively derived from classical Capstan equation and Hooke’s law for them without considering the effects of the friction coefficient between wire strands. Based on the proposed model, the relationships between the transmission error and dominating factors are analyzed. Then the preload compensation for transmission error is obtained at the engaging and locking angles of the docking locks, respectively. Experiments validate the model. This can provide a valuable reference in controlling the transmission error of CDS and improving the assembly efficiency of docking locks.

Keywords

Cable-driven sheavesCable deformationTransmission errorPreload compensation
Type
Technical Note
Information
Journal of Mechanics , Volume 36 , Issue 6 , December 2020 , pp. N9 - N20
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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References

REFERENCES

Jamshidifar, H., Fidan, B., Gungor, G. and Khajepour, A., “Adaptive vibration control of a flexible cable driven parallel robot,” IFAC-papers Online, 48(5), pp. 1302-1307(2015).CrossRefGoogle Scholar
Li, H., Liu, W., Wang, K., Kawashima, K. and Magid, E., “A cable-pulley transmission mechanism for surgical robot with back drivable capability,” Robotics and Computer-Integrated Manufacturing, 49(328), pp. 328-334 (2018).CrossRefGoogle Scholar
Jung, Y. and Bae, J., “An asymmetric cable-driven mechanism for force control of exoskeleton systems,” Mechatronics, 40(10), pp. 41-50(2016).CrossRefGoogle Scholar
Li, J., Xu, C., Yao, Y., Ding, J. and Fang, H., “Predicting synchronous accuracy of the wire sheave drives,” Precision Engineering, 39(1), pp. 261-269(2015).CrossRefGoogle Scholar
Xiao, J., Tang, S., Zhang, H. and Zhao, J., “The application of orthogonal test based on simulation in the study of docking-latch system’s motorial synchronization”. Journal Astronautics, 29(6), pp. 1778-1781(2008).Google Scholar
Zhou, J. P., Space Rendezvous and Docking Technology, 1st Edition, National Defense Industry Press, Beijing, China, pp.05-20(2013).Google Scholar
Huang, T. Q., Chen, M. and Xiao, Y. Z., “Study of kinetic synchronous theory on space docking locking system,” Journal System Simulation, 23(1), pp. 13-16(2011).Google Scholar
Zhang, H., Xiao, Y., Chen, M. and Du, S., “Study on synchronization of space docking mechanism’s docking lock,” Journal Astronautics, 30(1), pp. 310-314(2009).Google Scholar
Zheng, Y. Q., Bai, H. M. and Liu, Z., “Synchronous analysis of the wire cable flexibility transformation between the structure latches,” Manned Spaceflight, 15(3), pp. 59-64(2009).Google Scholar
Sun, Z., Wang, Z. and Phee, S.J., “Elongation modeling and compensation for the flexible tendon-sheath system,” IEEE/ASME Transactions on Mechatronics, 19(4), pp. 1243-1250(2014).Google Scholar
Chen, L., Wang, X. and Xu, W., “Inverse transmission model and compensation control of a single-tendon-sheath actuator,” IEEE Transactions on Industrial Electronics, 61 (3), pp. 1424-1433(2014).CrossRefGoogle Scholar
Wu, Q., Wang, X., Chen, L. and Du, F., “Transmission model and compensation control of double-ten-don-sheath actuation system,” IEEE Transactions on Industrial Electronics, 62 (3), pp. 1599-1609(2015).CrossRefGoogle Scholar
Wei, M. and Chen, R., “An improved capstan equation for nonflexible fibers and yarns,” Textile Research Journal, 68(7), pp. 487-492(1998).CrossRefGoogle Scholar
Gao, X., Wang, L. and Hao, X., “An improved capstan equation including power-law friction and bending rigidity for high performance yarn,” Mechanism and Machine Theory, 90(1) pp. 84-94(2015).CrossRefGoogle Scholar
Lu, Y., Fan, D., Liu, H. and Hei, M., “Transmission capability of precise cable drive including bending rigidity,” Mechanism and Machine Theory, 94(1), pp. 132-140(2015).Google Scholar
Baser, O. and Konukseven, E.I., “Theoretical and experimental determination of capstan drive slip error,” Mechanism and Machine Theory, 45(6), pp. 815-827(2010).Google Scholar
Xue, R., Ren, B., Yan, Z. and Du, Z., “A cable-pulley system modeling based position compensation control for a laparoscope surgical robot,” Mechanism and Machine Theory, 118(9), pp. 283-299 (2017).CrossRefGoogle Scholar
Jung, J.H., Pan, N. and Kang, T.J., “Tension transmission via an elastic rod gripped by two circular-edged plates,” International Journal of Mechanical Sciences, 49(10), pp. 1095-1103(2007).CrossRefGoogle Scholar
Kastratović, G., Vidanović, N., Bakić, V. and Rašuo, B., “On finite element analysis of sling wire rope subjected to axial loading,” Ocean Engineering, 88(15), pp. 480-487(2014).CrossRefGoogle Scholar
Páczelt, I. and Beleznai, R. “Nonlinear contact-theory for analysis of wire rope strand using high-order approximation in the FEM,” Computers and Structures, 89(11-12), pp. 1004-1025(2011).CrossRefGoogle Scholar
Argatov, I., “Response of a wire rope strand to axial and torsional loads: Asymptotic modeling of the effect of interwire contact deformations,” International Journal of Solids and Structures, 48 (10), pp. 1413-1423(2011).CrossRefGoogle Scholar
Werkmeister, J. and Sloeum, A. “Theoretical and experimental determination of sheave drive stiffness,” Precision Engineering, 31(1), pp. 55-67(2007).CrossRefGoogle Scholar
Kmet, S., Stanova, E., Fedorko, G., Fabian, M. and Brodniansky, J., “Experimental investigation and finite element analysis of a four-layered spiral strand bent over a curved support,” Engineering Structures, 57(1), pp. 475-483(2013).CrossRefGoogle Scholar
Kim, S.-Y. and Lee, P.-S., “Modeling of helically stranded cables using multiple beam finite elements and its application to torque balance design,” Construction and Building Materials, 151(10), pp. 591-606 (2017).CrossRefGoogle Scholar
Wang, D., Zhang, D., Wang, S. and Ge, S., “Finite element analysis of hoisting rope and fretting wear evolution and fatigue life estimation of steel wires,” Engineering Failure Analysis, 27(1), pp. 173-193(2013).CrossRefGoogle Scholar
Xu, C., Li, J., Yao, Y. and Zhang, B., “Research of cable deformation effects on synchronous accuracy of serial cable-driven sheaves,” Advances in Mechanical Engineering, 9(9), pp. 1-13(2017).Google Scholar