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Kinematic and dynamic analysis of a serial manipulator with local closed loop mechanisms

Chu Anh My, Vu Minh Hoan

Abstract


This paper addresses the kinematic and dynamic modelling and analysis for a robot arm consisting of two hydraulic cylinders driving two revolute joints of the arm. The two cylinders and relevant links of the robot constitute two local closed kinematic chains added to the main robot mechanism. Therefore, the number of the generalized coordinates of the mechanical system is increased, and the mathematical modelling is more complex that requires a formulation of constraint equations with respect to the local closed chains. By using the Lagrangian formulation with Lagrangian Multipliers, the dynamic equations are first derived with respect to all extended generalized coordinates. Then a compact form of the dynamic equations is yielded by canceling the Multipliers. Since the obtained dynamic equations are expressed in terms of independent generalized coordinates which are selected according to active joint variables of the arm, the equations could be best suitable for control law design and implementation. The simulation of the forward and inverse kinematics and dynamics of the arm demonstrates the motion behavior of the robot system.


Keywords


hydraulic robot; robot kinematics; robot dynamics; local closed mechanism

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References


N. V. Khang and C. A. My. Fundamentals of industrial robots. Vietnam Education Publisher, (2011). (n Vietnamese).

J. J. Craig. Introduction to robotics: Mechanics and control. Pearson Education, Upper Saddle River, NJ, USA, (2005).

J. J. Murray and G. H. Lovell. Dynamic modeling of closed-chain robotic manipulators and implications for trajectory control. IEEE Transactions on Robotics and Automation, 5, (4), (1989), pp. 522–528. https://doi.org/10.1109/70.88066.

V. Mata, S. Provenzano, F. Valero, and J. I. Cuadrado. Serial-robot dynamics algorithms for moderately large numbers of joints. Mechanism and machine Theory, 37, (8), (2002), pp. 739–755. https://doi.org/10.1016/s0094-114x(02)00030-7.

H. N. Tran. Inverse kinematic, dynamics and sliding mode control of redundant manipulator. PhD thesis, Institute of Mechanics, Vietnam Academy of Science and Technology, (2010). (In Vietnamese).

C. A. My. Mechanical design and dynamics modelling of RoPC robot. In Proceedings of International Symposium on Robotics and Mechatronics, Hanoi, Vietnam, (2009). pp. 92–96.

J. P. Merlet. Parallel robots. London Kluwer Academic Publishers, (2000).

O. Ibrahim and W. Khalil. Kinematic and dynamic modeling of the 3-PRS parallel manipulator. In Proceedings of the 12th IFToMM World congress, France, (2007). pp. 1–6.

L. Carbonari, M. Battistelli, M. Callegari, and M. C. Palpacelli. Dynamic modelling of a 3-CPU parallel robot via screw theory. Mechanical Sciences, 4, (1), (2013), pp. 185–197. https://doi.org/10.5194/ms-4-185-2013.

Y. Li and Q. Xu. Kinematics and inverse dynamics analysis for a general 3-PRS spatial parallel mechanism. Robotica, 23, (2), (2005), pp. 219–229. https://doi.org/10.1017/s0263574704000797.

S. Staicu. Matrix modeling of inverse dynamics of spatial and planar parallel robots. Multibody System Dynamics, 27, (2), (2012), pp. 239–265. https://doi.org/10.1007/s11044-011-9281-8.

W. Khalil and O. Ibrahim. General solution for the dynamic modeling of parallel robots. Journal of Intelligent and Robotic Systems, 49, (1), (2007), pp. 19–37. https://doi.org/10.1007/s10846-007-9137-x.

W. H. Yuan and M. S. Tsai. A novel approach for forward dynamic analysis of 3-PRS parallel manipulator with consideration of friction effect. Robotics and Computer-Integrated Manufacturing, 30, (3), (2014), pp. 315–325. https://doi.org/10.1016/j.rcim.2013.10.009.

M. Diaz-Rodriguez, A. Valera, V. Mata, and M. Valles. Model-based control of a 3-DOF parallel robot based on identified relevant parameters. IEEE/ASME Transactions on Mechatronics, 18, (6), (2012), pp. 1737–1744. https://doi.org/10.1109/tmech.2012.2212716.

D. H. Kim, J. Y. Kang, and K. I. Lee. Nonlinear robust control design for a 6 DOF parallel robot. KSME International Journal, 13, (7), (1999), pp. 557–568. https://doi.org/10.1007/BF03186446.

K. Fu and J. K. Mills. Robust control design for a planar parallel robot. International Journal of Robotics & Automation, 22, (2), (2007), pp. 139–147. https://doi.org/10.2316/journal.206.2007.2.206-2937.

Y. Li and Q. Xu. Dynamic modeling and robust control of a 3-PRC translational parallel kinematic machine. Robotics and Computer-Integrated Manufacturing, 25, (3), (2009), pp. 630–640. https://doi.org/10.1016/j.rcim.2008.05.006.

H. B. Guo, Y. G. Liu, G. R. Liu, and H. R. Li. Cascade control of a hydraulically driven 6-DOF parallel robot manipulator based on a sliding mode. Control Engineering Practice, 16, (9), (2008), pp. 1055–1068. https://doi.org/10.1016/j.conengprac.2007.11.005.

A. Codourey. Dynamic modeling of parallel robots for computed-torque control implementation. The International Journal of Robotics Research, 17, (12), (1998), pp. 1325–1336. https://doi.org/10.1177/027836499801701205.

H. Abdellatif and B. Heimann. Advanced model-based control of a 6-DOF hexapod robot: A case study. IEEE/ASME Transactions On Mechatronics, 15, (2), (2009), pp. 269–279. https://doi.org/10.1109/tmech.2009.2024682.

Q. Li and F. X. Wu. Control performance improvement of a parallel robot via the design for control approach. Mechatronics, 14, (8), (2004), pp. 947–964. https://doi.org/10.1016/j.mechatronics.2004.04.002.

O. Ibrahim and W. Khalil. Inverse and direct dynamic models of hybrid robots. Mechanism and Machine Theory, 45, (4), (2010), pp. 627–640. https://doi.org/10.1016/j.mechmachtheory.2009.11.007.

D. Pisla, A. Szilaghyi, C. Vaida, and N. Plitea. Kinematics and workspace modeling of a new hybrid robot used in minimally invasive surgery. Robotics and Computer-Integrated Manufacturing, 29, (2), (2013), pp. 463–474. https://doi.org/10.1016/j.rcim.2012.09.016.

T. K. Tanev. Kinematics of a hybrid (parallel–serial) robot manipulator. Mechanism and Machine Theory, 35, (9), (2000), pp. 1183–1196. https://doi.org/10.1016/s0094-114x(99)00073-7.

P. Xu, C. F. Cheung, B. Li, L. T. Ho, and J. F. Zhang. Kinematics analysis of a hybrid manipulator for computer controlled ultra-precision freeform polishing. Robotics and Computer-Integrated Manufacturing, 44, (2017), pp. 44–56. https://doi.org/10.1016/j.rcim.2016.08.003.

Q. Zeng and Y. Fang. Structural synthesis and analysis of serial–parallel hybrid mechanisms with spatial multi-loop kinematic chains. Mechanism and Machine Theory, 49, (2012), pp. 198–215. https://doi.org/10.1016/j.mechmachtheory.2011.10.008.

Q. Zeng and K. F. Ehmann. Design of parallel hybrid-loop manipulators with kinematotropic property and deployability. Mechanism and Machine Theory, 71, (2014), pp. 1–26. https://doi.org/10.1016/j.mechmachtheory.2013.08.017.

D. Zhang and Z. Gao. Performance analysis and optimization of a five-degrees-of-freedom compliant hybrid parallel micromanipulator. Robotics and Computer-Integrated Manufacturing, 34, (2015), pp. 20–29. https://doi.org/10.1016/j.rcim.2015.01.002.

C. A. My. Inverse kinematics of a serial-parallel robot used in hot forging process. Vietnam Journal of Mechanics, 38, (2), (2016), pp. 81–88. https://doi.org/10.15625/0866-7136/38/2/5958.

C. A. My, C. H. Le, M. Packianather, and E. L. J. Bohez. Novel robot arm design and implementation for hot forging press automation. International Journal of Production Research, (2018), pp. 1–15. https://doi.org/10.1080/00207543.2018.1521026.

N. V. Khang, N. P. Dien, N. V. Vinh, and T. H. Nam. Inverse kinematic and dynamic analysis of redundant measuring manipulator BKHN-MCX-04. Vietnam Journal of Mechanics, 32, (1), (2010), pp. 15–26. https://doi.org/10.15625/0866-7136/32/1/313.




DOI: https://doi.org/10.15625/0866-7136/13073 Display counter: Abstract : 113 views. PDF : 1 views.

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