Frontiers of Mechanical Engineering >
Kinematic calibration of precise 6-DOF stewart platform-type positioning systems for radio telescope applications
Received date: 20 Oct 2012
Accepted date: 24 Jan 2013
Published date: 05 Sep 2013
Copyright
The pose accuracy of a parallel robot is a function of the mobile platform posture. Thus, there is no a single value of the robot’s accuracy. In this paper, two novel methods for estimating the accuracy of parallel robots are presented. In the first method, the pose accuracy estimation is calculated by considering the propagation of each error, i.e., error variations are considered as a function of the actuator’s stroke. In the second method, it is considered that each actuator has a constant error at any stroke. Both methods can predict pose accuracy of precise robots at design stages, and/or can reduce calibration time of existing robots. An example of a six degree-of-freedom parallel manipulator is included to show the application of the proposed methods.
Key words: pose errors; error estimation; parallel robot; radio telescopes
Juan Carlos JÁUREGUI , Eusebio E. HERNÁNDEZ , Marco CECCARELLI , Carlos LÓPEZ-CAJÚN , Alejandro GARCÍA . Kinematic calibration of precise 6-DOF stewart platform-type positioning systems for radio telescope applications[J]. Frontiers of Mechanical Engineering, 2013 , 8(3) : 252 -260 . DOI: 10.1007/s11465-013-0249-7
1 |
Merlet J P. Parallel Robots. Springer, 2006
|
2 |
Masory O, Wang J. On the accuracy of a stewart platform-part I: The effect of manufacturing tolerances. In: IEEE Int. Conf. on Robotics and Automation, Atlanta, 1993, 725–731
|
3 |
Merlet J P. Parallel Robots: Open Problems. In: ASME Conference DECT, 2002
|
4 |
Castillo E, Takeda Y. Improving path accuracy of a crank-type 6-DOF parallel mechanism by stiction compensation. Mechanism and Machine Theory, 2008, 43(1): 104–114
|
5 |
Zhuang H, Roth Z. Method for kinematic calibration of stewart platforms. Journal of Robotic Systems, 1993, 10(3): 391–405
|
6 |
Ziegert J C.Volumetric performance of hexapod machine tools, Hexapod Machine Tool Users Group. Internal report 13, 1996
|
7 |
Soons J A. Error Analysis of a hexapod machine tool. In: 3rd International Conference and Exhibition on Laser Metrology and Machine Performance, Lamdamap, 1997, 347–358
|
8 |
Rudder F F. Thermal expansion of long slender rods with forced convection cooling along the rod length. Report NISTIR, 1997, 5975: 46
|
9 |
Gupta K. Measure of positional error for a rigid body. Journal of Mechanical Design, ASME, 1997, 119(3): 346–348
|
10 |
Parenti-Castelli V. Di Gregorio R., Lenarcic J. Sensitivity to geometric parameter variation of a 3 DOF fully-parallel manipulator. In: 3rd International Conference on Advanced Mechatronics JSME, 1998, 364–369
|
11 |
Oiwa T, Tamaki M. Study on abbe's principle in parallel kinematics. In: 2nd Chemnitz Parallel Kinematics Seminar, Chemnitz, 354–352, 2000.
|
12 |
Cui H, Zhu Z, Gan Z, Brogangrdh T. Kinematic analysis and error modeling of TAU parallel robot. Robotics and Integrated Manufacturing, 2005, 21(6): 497–505
|
13 |
Brogangrdh T. Device for relative movement of two elements. United States Patent 6425303, 2002.
|
14 |
Oiwa T. Error compensation system for joints, links and machine frame of parallel kinematics machines. International Journal of Robotics Research, 2005, 24(12): 1087–1102
|
15 |
Yu A, Bonev I, Zsombor P. Geometric approach to the accuracy of a class of 3-DOF planar parallel robots. Mechanism and Machine Theory, 2008, 43(3): 364–375
|
16 |
Briota S, Bonev I. Accuracy analysis of 3-DOF planar parallel robots. Mechanism and Machine Theory, 2008, 43(4): 445–458
|
17 |
Chebbia A, Affia Z, Romdhaneb L. Prediction of the pose errors produced by joints clearance for a 3-UPU parallel robot. Mechanism and Machine Theory, 2009, 44(9): 1768–1783
|
18 |
Pashkevich A, Chablat D, Wenger P. Kinematic Calibration of orthoglide-type mechanism from observation of parallel leg motions. Mechatronics, 2009, 19(4): 478–488
|
19 |
Ren X, Feng Z, Su C A. New calibration method for parallel kinematic machine tools using orientation constraint. International Journal of Machine Tools & Manufacture, 2009, 49(9): 708–721
|
20 |
Hernandez-Martinez E, Ceccarelli M, Carbone G, Lopez-Cajun C, Jauregui-Correa J C. Characterization of a cable-based parallel mechanism for measurement purposes. Mechanism Based Design of Structures and Machines an International Journal, 2010, 38(1): 25–49
|
21 |
Angeles J. On the Nature of the Cartesian Stifiness Matrix. Ingenieria Mecanica Tecnologia y Desarrollo, 2010, 3(5): 163–170
|
22 |
Bohm J, Hefele J, Fritsch D. Towards on-line pose measurement for robots. In: Pattern Recognition, 23rd DAGM Symposium, LCNS-2191, 2003, 298–303
|
23 |
Minor M, Merrel R. Instrumentation and algorithms for posture estimation in compliant framed modular mobile robots. International Journal of Robotics Research, 2007, 26(5): 491–512
|
24 |
Gosselin C, Angeles J. Singularity analysis of closed-loop kinematic chains. IEEE Transactions on Robotics and Automation, 1990, 6(3): 281–290
|
/
〈 | 〉 |