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Error-space-oriented tolerance design for a deployable mechanism with multiple clearances

Published online by Cambridge University Press:  22 February 2022

Jianzhong Ding Open the ORCID record for Jianzhong Ding [Opens in a new window] ,
Yang Dong ,
Xueao Liu  and
Chunjie Wang
Jianzhong Ding
Affiliation:
School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China
Yang Dong
Affiliation:
School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China
Xueao Liu*
Affiliation:
School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China
Chunjie Wang
Affiliation:
State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing 100191, China
*
*Corresponding author. E-mail: [email protected]
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Abstract

This paper presents a geometrical alternative to estimate the accuracy of a deployable mechanism equipped on the Synthetic Aperture Radar (SAR) space satellite. The deployable mechanism is simplified into a planar mechanism, and the error space of the outer panel in its deployed state is modeled concerning multiple revolute joint clearances and link length tolerances. Compared with the existing methods, the advance of the proposed geometrical approach lies in that it gives expressions of the complete error mobility that the outer panel may have. After deducing the expressions, the final error space is visualized and evaluated numerically with discrete sampling points. Finally, based on the error space and the computed maximum errors, effects of tolerances on accuracy are studied and the optimal accuracy design of tolerances is obtained. The result reveals that, for the deployable mechanism discussed in this paper, effects of tolerances on the final accuracy can be eliminated without increasing the manufacturing cost.

Keywords

deployable mechanismtoleranceclearanceerror modelingkinematics
Type
Research Article
Information
Robotica , Volume 40 , Issue 9 , September 2022 , pp. 3254 - 3265
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

Ting, K., Zhu, J. and Watkins, D., “The effects of joint clearance on position and orientation deviation of linkages and manipulators,” Mech. Mach. Theory 35(3), 391–401 (2000).10.1016/S0094-114X(99)00019-1CrossRefGoogle Scholar
Ting, K., Hsu, K. and Wang, J., “Clearance-induced position uncertainty of planar linkages and parallel manipulators,” J. Mech. Rob. 9(6), 061001 (2017).10.1115/1.4037619CrossRefGoogle Scholar
Chan, C. and Ting, K., “Clearance-induced orientation uncertainty of spherical linkages,” J. Mech. Rob. 13(2), 021021 (2021).10.1115/1.4049974CrossRefGoogle Scholar
Tsai, M. and Lai, T., “Kinematic sensitivity analysis of linkage with joint clearance based on transmission quality,” Mech. Mach. Theory 39(11), 1189–1206 (2004).10.1016/j.mechmachtheory.2004.05.009CrossRefGoogle Scholar
Tsai, M. and Lai, T., “Accuracy analysis of a multi-loop linkage with joint clearances,” Mech. Mach. Theory 43(9), 1141–1157 (2008).10.1016/j.mechmachtheory.2007.09.001CrossRefGoogle Scholar
Liu, H., Huang, T. and Chetwynd, D. G., “A general approach for geometric error modeling of lower mobility parallel manipulators,” J. Mech. Rob. 3(2), 021013 (2011).10.1115/1.4003845CrossRefGoogle Scholar
Tian, W., Gao, W., Zhang, D. and Huang, T., “A general approach for error modeling of machine tools,” Int. J. Mach. Tools Manuf. 79, 17–23 (2014).10.1016/j.ijmachtools.2014.01.003CrossRefGoogle Scholar
Frisoli, A., Solazzi, M., Pellegrinetti, D. and Bergamasco, M., “A new screw theory method for the estimation of position accuracy in spatial parallel manipulators with revolute joint clearances,” Mech. Mach. Theory 46(42), 1929–1949 (2011).Google Scholar
Cammarata, A., “A novel method to determine position and orientation errors in clearance-affected overconstrained mechanisms,” Mech. Mach. Theory 118, 247–264 (2017).10.1016/j.mechmachtheory.2017.08.012CrossRefGoogle Scholar
Simas, H. and Gregorio, R. D., “Geometric error effects on manipulators’ positioning precision: A general analysis and evaluation method,” J. Mech. Rob. 8(6), 061016 (2016).10.1115/1.4034577CrossRefGoogle Scholar
Li, X., Ding, X. and Chirikjian, G. S., “Analysis of angular-error uncertainty in planar multiple-loop structures with joint clearances,” Mech. Mach. Theory 91, 69–85 (2015).10.1016/j.mechmachtheory.2015.04.005CrossRefGoogle Scholar
Zhao, Q., Guo, J. and Hong, J., “Closed-form error space calculation for parallel/hybrid manipulators considering joint clearance, input uncertainty, and manufacturing imperfection,” Mech. Mach. Theory 142, 103608 (2019).10.1016/j.mechmachtheory.2019.103608CrossRefGoogle Scholar
Meng, J. and Li, Z., “A General Approach for Accuracy Analysis of Parallel Manipulators with Joint Clearance,” 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems (2005) pp. 2468–2473.Google Scholar
Meng, J., Zhang, D. and Li, Z., “Accuracy analysis of parallel manipulators with joint clearance,” J. Mech. Des. 131(1), 011013 (2009).10.1115/1.3042150CrossRefGoogle Scholar
Briot, S. and Bonev, I. A., “Accuracy analysis of 3T1R fully-parallel robots,” Mech. Mach. Theory 45(5), 695–706 (2010).CrossRefGoogle Scholar
Yao, R., Zhu, W. and Huang, P., “Accuracy analysis of Stewart platform based on interval analysis method,” Chin. J. Mech. Eng. 26(1), 29–34 (2013).CrossRefGoogle Scholar
Chen, G., Wang, H. and Lin, Z., “A unified approach to the accuracy analysis of planar parallel manipulators both with input uncertainties and joint clearance,” Mech. Mach. Theory 64, 1–17 (2013).CrossRefGoogle Scholar
Ding, J., Lyu, S., Da, T., Wang, C. and Chirikjian, G. S., “Error space estimation of 3-DOF planar parallel mechanisms,” J. Mech. Rob. 11(3), 031013 (2019).10.1115/1.4042633CrossRefGoogle Scholar
Kumaraswamy, U., Shunmugam, M. S. and Sujatha, S., “A unified framework for tolerance analysis of planar and spatial mechanisms using screw theory,” Mech. Mach. Theory 69, 168–184 (2013).10.1016/j.mechmachtheory.2013.06.001CrossRefGoogle Scholar
Huang, T., David, W. J. and Derek, C. G., “A unified error model for tolerance design, assembly and error compensation of 3-DOF parallel kinematic machines with parallelogram struts,” CIRP Ann. 51(1), 297–301 (2002).CrossRefGoogle Scholar
Martin, H., Benjamin, S. and Sandro, W., “From tolerance allocation to tolerance-cost optimization: a comprehensive literature review,” Int. J. Adv. Manuf. Technol. 107(1), 1–54 (2020).Google Scholar