Abstract
In this paper, a novel 6-DOF parallel manipulator with coaxial actuated arms is introduced and investigated. This mechanism has six rotating arms, and by rotation of arms about the base, positioning and desired movement of the mechanism is achieved. Sine parallel mechanisms have a nonlinear motion while moving from an initial position to a desired position, investigation of nonlinear error in such mechanisms is of paramount importance. In this paper, inverse and forward kinematics of the mechanism are studied. Nonlinear error of the mechanism’s motion in its workspace is extracted using mid-oscillating circle and kinematic relations as well. Moreover, effective parameters on nonlinear motion error of mechanism are determined. The results obtained by theoretical method are further verified through image processing experimental tests. It is found that the results of the theoretical analysis and experimental test are in good consistency.
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References
Zhang D (2010) Parallel robotic machine tools. Springer, Oshawa
Harib K, Srinivasan K (2003) Kinematic and dynamic analysis of Stewart platform-based machine tool structures. Robotica 21:541–554
Pedrammehr S, Mahboubkhah M, Pakzad S (2011) An improved solution to the inverse dynamics of the general Stewart platform. In: Proc. of the 2011 I.E. international conference on mechatronics, ICM 2011, 5971317:392–397
Pedrammehr S, Mahboubkhah M, Khani N (2012) Improved dynamics equations for the generally configured Stewart platform manipulator. J Mech Sci Technol 26:711–721
Zheng K-J, Gao J-S, Zhao Y-S (2005) Path control algorithms of a novel 5-DOF parallel machine tool. In: Proc. of the IEEE international conference on mechatronics and automation, Niagara Falls, 3:1381–1385
Beale EML (1960) Confidence regions in non-linear estimation. J R Stat Soc Ser B 22:41–88
Guttman I, Meeter DA (1965) On Beale’s measures of nonlinearity. Technometrics 7:623–637
Box MJ (1971) Bias in nonlinear estimation. J R Stat Soc Ser B 33:171–201
Gillis R, Ratkowsky DA (1978) The behavior of estimators of the parameters of various yield-density relationships. Biometrics 34:191–198
Bates DM, Watts DG (1980) Relative curvature measures of nonlinearity. J R Stat Soc Ser B 42:1–25
Karimi D, Nategh MJ (2011) A statistical approach to the forward kinematics nonlinearity analysis of Gough-Stewart mechanism. J Appl Math 2011:1–17
Dasgupata B, Mruthyunjaya TS (1998) Singularity-free path planning for the Stewart platform manipulator. Mech Mach Theory 33:711–725
Shaw D, Chen YS (2000) Cutting path generation of the Stewart-platform based milling machine using an end-mill. Int J Prod Res 39:1367–1383
Merlet JP (2001) A generic trajectory verifier for the motion planning of parallel robots. ASME J Mech Des 123:509–515
Pugazhenthi S, Nagarajan T, Singaperumal M (2001) Optimal trajectory planning for a hexapod machine tool during contour machining. Proc Inst Mech Eng C J Mech 216:1247–1257
Dash AK, Chen IM, Yeo SH, Yang G (2005) Workspace generation and planning singularity-free path for parallel manipulators. Mech Mach Theory 40:776–805
Afroun M, Chettibi T, Hanchi S (2006) Planning optimal motions for a DELTA parallel robot. In: Proc of the IEEE 14th Mediterranean conference on control and automation, pp 1–6
Afroun M, Chettibi T, Hanchi S, Dequidet A, Vermeiren L (2008) Optimal motions planning for a GOUGH parallel robot. In: IEEE 16th Mediterranean conference on control and automation, Congress Centre, Ajaccio, France
Harib KH, Sharif Ullah AAM, Hammami A (2007) A hexapod-based machine tool with hybrid structure: kinematic analysis and trajectory planning. Int J Mach Tools Manuf 47:1426–1432
Li Z (2000) Reconfiguration and tool path planning of hexapod machine tools. PhD thesis, New Jersey Institute of Technology, New Jersey
Jinsong W, Zhonghua W, Tian H, Whitehouse DJ (2002) Nonlinearity for a parallel kinematic machine tool and its application to interpolation accuracy analysis. Sci China Ser A 45:625–637
Isaksson M, Brogårdh T, Watson M, Nahavandi S, Crothers P (2012) The octahedral hexarot-A novel 6-DOF parallel manipulator. Mech Mach Theory 55:91–102
Isaksson M, Watson M (2013) Workspace analysis of a novel six-degrees-of-freedom parallel manipulator with coaxial actuated arms. ASME J Mech Des 135:1–9
Liu K, Fitzgerald JM, Lewis FL (1993) Kinematic analysis of a Stewart platform manipulator. IEEE Trans Ind Electron 40:282–293
Wang L-C, Oen K-T (2002) Numerical direct kinematic analysis of fully parallel linearly actuated platform type manipulators. J Robot Syst 19:391–400
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Appendix
Appendix
The physical specifications of the test manipulator are as follows (all the quantities are given in SI units):
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Chalak Qazani, M.R., Pedrammehr, S., Rahmani, A. et al. An experimental study on motion error of hexarot parallel manipulator. Int J Adv Manuf Technol 72, 1361–1376 (2014). https://doi.org/10.1007/s00170-014-5685-y
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DOI: https://doi.org/10.1007/s00170-014-5685-y