Continuation Method Applied in Kinematics of Parallel Robot

DONG Bin; ZHANG Xiang-de

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(12): 1278-1284

DONG Bin, ZHANG Xiang-de. Continuation Method Applied in Kinematics of Parallel Robot[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1278-1284.

Citation:

DONG Bin, ZHANG Xiang-de. Continuation Method Applied in Kinematics of Parallel Robot[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1278-1284.

Citation:

DONG Bin, ZHANG Xiang-de. Continuation Method Applied in Kinematics of Parallel Robot[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1278-1284.

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Continuation Method Applied in Kinematics of Parallel Robot

DONG Bin¹,
ZHANG Xiang-de²

1.
Department of Mathematics, Northeastern University, Shenyang 110006, P. R. China;
2.
Robot Open Laboratory of Science Institute of China, Shenyang 110003, P. R. China

Received Date: 1999-05-05
Rev Recd Date: 2001-06-26
Publish Date: 2001-12-15

Abstract

Abstract

Continuation method solving forward kinematics problem of parallel robot was discussed. And through a coefficient-parameter continuation method the efficiency and feasibility of continuation method were improved. Using this method all forward solutions of a new parallel robot model which was put forward lately by Robot Open Laboratory of Science Institute of China were obtained. Therefore it provided the basis of mechanism analysis and real-time control for new model.
- continuation method,
- parallel robot kinematics,
- generic continuation,
- coefficient-parameter continuation

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References(12)

References

[1]	Tsai L W,Morgan A P.Solving the kine matics of the most general six-and-five-degree-of-freedom manipulators by continuation me thods[J].ASME Journal of Mechanism,Transmissions,and Automation in Design,1989,107:189-200.
[2]	刘安心,杨廷力.求一般6-SPS并联机器人机构的全部位置正解[J].机械科学与技术,1996,15(7):543-546.
[3]	Morgan A P,Wampler C W.Numerical continuation methods for solving polynomial systems arising in kinematics[J].Journal of Mechanical Design,1990,112(3):59-68.
[4]	Morgan A P,Sommese A J.Computing all solutions to polyn omial syst ems using homotopy continuation[J].Appl Math Comput,1987,24:115-138.
[5]	Morgan A P,Sommese A J.Coefficient parameter polynomial conti nuation[J].Appl Math Comput,1989,29:123-160.
[6]	王则柯,高堂安.同伦方法引论[M].重庆:重庆出版社,1990,123-178.
[7]	Merlet J P.An algorithm for the forward kinematics of general parallel manipulators[A].In:International Conference on Advanced R obotics[C].Pise,June,1991,1131-1135.
[8]	Merlet J P.Algebraic-Geometry tools for the study of kin ematics of parallel manipulators[A].In:J Angeles et al Eds.Computational Kinematics,Netherlands:Kluwer Academic Publishers,1993,183-194.
[9]	Merlet J P.Direct Kinematics and assembly modes of parallel manipulators[J].The International Journal of Robotics Research,1992,11:150-162.
[10]	Nanua P,Waldron K J,Murthy V.Direct kinematics solution of a stewart platform[J].IEEE Trans Robotics Automation,1990,6:438-444.
[11]	Raghavan M,Roth B.Kinematic analysis of the 6-R manipulator of general geometry[A].In:5th Int Symp of Robotics Research[C].Tokyo,1990,263-270.
[12]	赵明扬.一种衍架结构数控机床[P].中国专利:98121062.7,1998.