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Motion planning issues encountered in assembling airplanes by employing the 6PURU parallel mechanism are analyzed in this paper. A sine curve of the change rate of acceleration, which is called as jerk in the following text, is proposed for uniaxial flexible acceleration and deceleration planning based on the optimal time and velocity and acceleration constraints. Compared with other curves, the proposed curve can realize a continuous n-order derivative and the smooth change of the speed and acceleration. The method is computationally simple and suitable for programming. In addition, a multiaxial coordinated movement scheme is proposed. The motion trajectory is no longer simply split into many single-direction trajectories nor are all single-direction planning trajectories combined directly. The multiaxial coordinated movement scheme aims to achieve synergic movement in multiple directions to ensure smoothness of the movement in the event of a kinematic error when maintaining a stable value. If the movement fails to achieve this goal, driving force mutations will deteriorate the effect of synergic movement. A physical model of the parallel mechanism is developed in simMechanics, and a holistic system model is completed in SIMULINK. The feasibility of the new planning algorithm is simulated and tested, and then, the multiaxial synergic movement planning method is proposed and verified.


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Synergic Motion Trajectory Planning for Airplane Docking Based on 6PURU Parallel Mechanism

Show Author's information Hui LiLinxuan Zhang( )Tianyuan XiaoJietao Dong
State CIMS Engineering Research Center at Tsinghua University, Beijing 100084, China.

Abstract

Motion planning issues encountered in assembling airplanes by employing the 6PURU parallel mechanism are analyzed in this paper. A sine curve of the change rate of acceleration, which is called as jerk in the following text, is proposed for uniaxial flexible acceleration and deceleration planning based on the optimal time and velocity and acceleration constraints. Compared with other curves, the proposed curve can realize a continuous n-order derivative and the smooth change of the speed and acceleration. The method is computationally simple and suitable for programming. In addition, a multiaxial coordinated movement scheme is proposed. The motion trajectory is no longer simply split into many single-direction trajectories nor are all single-direction planning trajectories combined directly. The multiaxial coordinated movement scheme aims to achieve synergic movement in multiple directions to ensure smoothness of the movement in the event of a kinematic error when maintaining a stable value. If the movement fails to achieve this goal, driving force mutations will deteriorate the effect of synergic movement. A physical model of the parallel mechanism is developed in simMechanics, and a holistic system model is completed in SIMULINK. The feasibility of the new planning algorithm is simulated and tested, and then, the multiaxial synergic movement planning method is proposed and verified.

Keywords: assembly simulation, motion trajectory planning, parallel mechanism, simMechanics

References(14)

[1]
Xiao, Q. Wang, Z. Ma, Q. and Meng, J. Research on digital assembly technology for the large size airplane, (in Chinese), Manufacture Information Engineering of China, vol. 3, pp. 26-29, 2007.
[2]
Hou, Z. Liang, X. and Zhou, W. Integrated control technology of automatic Butt for aircraft major part, (in Chinese), Aeronautical Manufacturing Technology, no. 23, pp. 93-96, 120, 2010.
[3]
Du Z. and Zou, F. Trajectory planning of large part merging with a multi-robot coordinated manipulation system, (in Chinese), Aeronautical Manufacturing Technology, no. 24, pp. 88-91, 2009.
[4]
Sigor, M. Goncharenko, I. Luo, Z. W. and Hosoe, S. Reaching movements in dynamic environments: How do we move flexible objects, IEEE Transaction on Robotics, vol. 22, no. 4, pp.724-739, 2006.
[5]
Garg D. P. and Kumar, M. Optimization techniques applied to multiple manipulators for path planning and torque minimization, Engineering Application of Artificial Intelligence, no. 15, pp. 211-252, 2002.
[6]
Zhao, L. Wang, X. and Geng, R. Study on a new trajectory planning algorithm, (in Chinese), Machine Development, no. 12, pp.41-44, 2004.
[7]
Liu, Y. Advanced Dynamics. Beijing, China: Higher Education Press, 2003.
DOI
[8]
Tsai, L. W. Solving the inverse dynamics of parallel manipulators by the principle of virtual work, in Proc. ASME Design Engineering Technical Conferences, 2000, pp. 3-9.
DOI
[9]
Yang, J. Wang, J. and Yu, D. Modular computation method for inverse kinematics and dynamics of spatial parallel manipulator, (in Chinese), Chinese Journal of Mechanical Engineering, no. 5, pp. 104-107, 2005.
[10]
Jeon J. W. and Ha, Y. Y. The acceleration and deceleration of industrial robots and CNC machine tools, (in Chinese), IEEE Transactions on Industrial Electronic, vol. 1, pp. 133-139, 2000.
[11]
Wang, M. Research on motion planning and graphic simulation of 4-dof robot arms and dexterous hand, (in Chinese), Ph.D. dissertation, Harbin Industrial University, Harbin, China, 2006.
[12]
Wang, Y. Huang, Q. and Zhen, S. Dynamic modeling and analysis of a parallel manipulator using Simulink and SimMechanics, (in Chinese), Journal of Harbin Engineering University, no. 1, pp. 100-105, 2012.
[13]
Zhang, N. Zhang, Y. and Gong, J. Kinematics and dynamic simulation of planar 2-DOF parallel mechanism based on SimMechanics, (in Chinese), Modular Machine Tool & Automatic Manufacturing Technique, no. 8, pp. 33-35, 2013.
[14]
Zhu Y. and Huang, X. Automation adjustment and tracking measurement of fuselage position and pose, (in Chinese), Mechanical Science and Technology for Aerospace Engineering, no. 7, pp. 1121-1127, 2012.
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Received: 29 September 2014
Revised: 30 November 2014
Accepted: 05 December 2014
Published: 23 April 2015
Issue date: April 2015

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© The author(s) 2015

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Acknowledgements

The work was supported by the National Science and Technology Supporting Plan of China (No. 2012BAF14G00).

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