Abstract
This paper presents the kinematic calibration of a four degrees-of-freedom (DOF) hybrid machine tool based on a novel planar 3-DOFs parallel mechanism and a long movement of the worktable. Closed-form solutions are developed for both the inverse and direct kinematics about the parallel mechanism. The error model is built and the mechanism accuracy is investigated. Two types of kinematic calibration method are proposed by a simple measurement device. The first type of calibration method is based on estimation error, and can easy improve the machine tool accuracy quickly by estimating the error trends. The second type of kinematic calibration method is based on local measurement information, which includes the position errors and does not include the pose errors of the machine tool. The calibration tests showed the effectiveness of the calibration methods, which can be useful for the similar types of parallel machine tool.
Similar content being viewed by others
References
Cleary K, Brooks T, Hughes SR (1993) Kinematics analysis of a novel 6-DOFs parallel manipulator. Proceedings of the IEEE International Conference on Robotics and Automation, San Antonio, TX, pp 708–713
Salcudean SE, Drexel PA, Ben-Dov D, Tayor AJ, Lawrence PD (1994) A six degree-of-freedom, hydraulic, one person motion simulator. Proceedings of the IEEE International Conference on Robotics and Automation, San Diego, CA, pp 2437–2443
Kerr DR (1989) Analysis, properties and design of Stewart platform transducer. J Mech Transm Autom Des Trans ASME 111:25–28
Reboulet C, Pigeyre R (1990) Hybrid control of a 6-DOFs in-parallel actuated micro-manipulator mounted on a Scara robot. Proceedings of the 3rd International Symposium on Robotics and Manufacturing: Research, Education, and Applications - ISRAM ’90, Burnaby, BC, Canada, 18–20 July 1990, pp 293–298
Cox DJ, Tesar D (1981) The dynamic modeling and command signal formulation for parallel multi-parameter robotic devices. Intern Rep CIMAR Univ Florida
Stewart D (1965) A platform with six degree of freedom. Proc Inst Mech Eng, pp 371–386
Moriwaki T (1999) Survey of R&D activities related to parallel mechanisms in Japan. In: Boer CR, Molinari-Tosatti L, Smith KS (eds) Parallel Kinematic Machines. Springer, Berlin Heidelberg New York, pp 431–440
Siciliano B (1999) The tricept robot: inverse kinematics, manipulability analysis and closed-loop direct kinematics algorithm. Robotica 17(4):437–445
Tonshoff HK, Grendel H, Kaak R (1999) Structure and characteristics of the hybrid manipulator Georg V. In: Boer CR, Molinari-Tosatti L, Smith KS (eds) Parallel kinematic machines. Springer, Berlin Heidelberg New York, pp 365–376
Tsai L (1997) Multi-degree-of-freedom mechanisms for machine tools and the like. US Patent 5,656,905, 12 Aug 1997
Zhuang H, Yan J, Masory O (1998) Calibration of Stewart platforms and other parallel manipulator by minimizing inverse kinematics residuals. J Robot Syst 15(7):395–405
Nahvi A, Hollerbach JM, Hayward V (1994) Calibration of parallel robot using multiple kinematic closed loops. Proceedings of the IEEE International Conference on Robotics and Automation, San Diego, CA, 8–13 May 1994, pp 407–412
Maurine P, Dombre E (1996) A calibration procedure for the parallel robot delta 4. Proceedings of the IEEE International Conference on Robotics and Automation Minneapolis, MN, 24–26 April 1996, pp 975–980
Zhuang H (1997) Self-calibration of parallel mechanisms with a case study on Stewart platforms. IEEE Trans Robot Autom 13(3):387–397
Wampler CW, Hollerbach JM, Arai T (1995) An implicit loop method for kinematic calibration and its application to closed-chain mechanisms. IEEE Trans Robot Autom 11(5):710–724
Khalil W, Besnard S (1999) Self calibration of Stewart-Gough parallel robots without extra sensors. IEEE Trans Robot Autom 15(6):1116–1121
Rauf A, Ryu J (2001) Fully autonomous calibration of parallel manipulators by imposing position constraint. Proceedings of the IEEE International Conference on Robotics and Automation, Seoul, Korea, 21–26 May 2001, pp 2389–2394
Wang J, Duan G, Tang X (2002) Type of parallel machine tools frame driven by slider and extensible strut. US Patent 6,402,444, 11 June 2002
Wang J, Tang X (2003) Analysis and dimensional design of a novel hybrid machine tool. Int J Mach Tools Manuf 43(7):647–655
Grosselin C, Angels J(1991) A global performance index for the kinematic optimization of robotic manipulators. ASME J Mech Des 113(3):220–226
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tang, X., Wang, J. & Gao, M. Kinematic calibration of gantry hybrid machine tool based on estimation error and local measurement information. Int J Adv Manuf Technol 26, 382–390 (2005). https://doi.org/10.1007/s00170-003-1999-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-003-1999-x