Dynamic Analysis of Flexible-Link and Flexible-Joint Robots

ZHANG Ding-guo; ZHOU Sheng-feng

Volume 27 Issue 5

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ZHANG Ding-guo, ZHOU Sheng-feng. Dynamic Analysis of Flexible-Link and Flexible-Joint Robots[J]. Applied Mathematics and Mechanics, 2006, 27(5): 615-623.

Citation:

ZHANG Ding-guo, ZHOU Sheng-feng. Dynamic Analysis of Flexible-Link and Flexible-Joint Robots[J]. Applied Mathematics and Mechanics, 2006, 27(5): 615-623.

Citation:

ZHANG Ding-guo, ZHOU Sheng-feng. Dynamic Analysis of Flexible-Link and Flexible-Joint Robots[J]. Applied Mathematics and Mechanics, 2006, 27(5): 615-623.

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Dynamic Analysis of Flexible-Link and Flexible-Joint Robots

School of Sciences, Nanjing University of Science and Technology, Nanjing 210094, P. P. China

Received Date: 2004-09-16
Rev Recd Date: 2005-12-27
Publish Date: 2006-05-15

Abstract

Abstract

The dynamic modeling and simulation of an N-flexible-link and N-flexible-joint robot was reported. Each flexible joint is modeled as a linearly elastic torsional spring and the approach of assumed modes was adopted to describe the deformation of the flexible-link. The complete governing equations of motion of the flexible-link-joint robots were derived via Kane's method. An illustrative example is given to validate the algorithm presented and to show the effects of flexibility on the dynamics of robots.
- flexible robot,
- dynamics,
- numerical simulation,
- modeling

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References(18)

References

[1]	Fu K S,Gonzalez R C,Lee C S G.Robotics: Control,Sensing,Vision,and Intelligent[M].New York:McGraw-Hill Book Company,1987,82—148.
[2]	Angeles J.Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms[M].New York:Springer-Vertag,2002,213—439.
[3]	Sunada W H,Dubowsky S.On the dynamic analysis and behavior of industrial robotic manipulators with elastic members[J].Transactions of the ASME Journal of Mechanisms,Transmissions,and Automation in Design,1983,105:42—51. doi: 10.1115/1.3267343
[4]	Book W J.Recursive Lagrangian dynamics of flexible manipulator arms[J].The International Journal of Robotics Research,1984,3(3):87—101. doi: 10.1177/027836498400300305
[5]	Usoro P B,Nadira R,Mahil S S.A finite element/Lagrange approach to modeling lightweight flexible manipulator[J].Transactions of the ASME Journal of Dynamic Systems, Measurement, and Control,1986,108:198—205. doi: 10.1115/1.3143768
[6]	Wang P K C,WEI Jin-duo.Vibrations in a moving flexible robot arm[J].Journal of Sound and Vibration,1987,116(1):149—160. doi: 10.1016/S0022-460X(87)81326-3
[7]	Naganathan G,Soni A H.Coupling effects of kinematics and flexibility in manipulators[J].The International Journal of Robotics Research,1987,6(1):75—84. doi: 10.1177/027836498700600106
[8]	Low K H,Vidyasagar M.A Lagrangian formulation of the dynamic model for flexible manipulator systems[J].Transactions of the ASME Journal of Dynamic Systems,Measurement, and Control,1988,110:175—181. doi: 10.1115/1.3152668
[9]	Naganathan G,Soni A H.Nonlinear modeling of kinematic and flexibility effects in manipulator design[J].Transactions of the ASME Journal of Mechanisms, Transmissions, and Automation in Design,1988,110:243—254. doi: 10.1115/1.3267454
[10]	管贻生,安永辰.机器人手臂弹性动力学分析的Kane方法[J].机器人,1992,14(1):45—51.
[11]	Spong M W.Modeling and control of elastic joint robots[J].Transactions of the ASME Journal of Dynamic Systems, Measurement, and Control,1987,109(4):310—319. doi: 10.1115/1.3143860
[12]	Readman M C,Bélanger P R. Stabilization of the fast modes of a flexible-joint robot[J].The International Journal of Robotics Research,1992,11(2):123—134. doi: 10.1177/027836499201100203
[13]	Ahmad S. Constrained motion (force/position) control of flexible joint robots[J].IEEE Transactions on Systems, Man, and Cybernetics,1993,23(2):374—381. doi: 10.1109/21.229451
[14]	Al-Ashoor R A,Patel R V, Khorasani K.Robust adaptive controller design and stability analysis for flexible-joint manipulations[J].IEEE Transactions on Systems, Man, and Cybernetics,1993,23(2):589—602. doi: 10.1109/21.229473
[15]	Jankowski K P,van Brussel H.Inverse dynamics task control of flexible joint robots-Part Ⅰ:continuous-time approach;Part Ⅱ:discrete-time approach[J].Mech Mach Theory,1993,28(6):741—762. doi: 10.1016/0094-114X(93)90018-Q
[16]	Xi F,Fenton R G.Coupling effect of a flexible link and a flexible joint[J].The International Journal of Robotics Research,1994,13(5):443—453. doi: 10.1177/027836499401300505
[17]	Al-Bedoor B O,Almusallam A A.Dynamics of flexible-link and flexible-joint manipulator carrying a payload with rotary inertia[J].Mech Mach Theory, 2000,35:785—820. doi: 10.1016/S0094-114X(99)00043-9
[18]	边宇枢,陆震.柔性机器人动力学建模的一种方法[J].北京航空航天大学学报,1999,25(4):486—490.

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