Abstract
This paper presents a linear driven 2 degree-of-freedoms (DoFs) Parallel Manipulator (PM) for pick-and-place operation in the light industry, and its dynamic dimensional synthesis is carried out. Inverse kinematics and rigid-body dynamics are formulated to propose a dynamic performance index, which is to minimize the maximum driving force of a single link. The index is associated with dimensional and inertial parameters and can be expressed as function of transmission angles. Then performance constraints are considered by investigating the relationship between singular values of Jacobian matrix and mapping characteristics of velocity, accuracy and stiffness. The approach is illustrated in detail through an example and the optimized dimensional parameters are obtained for high performance throughout the entire workspace.
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Adept Technology Inc., http://adept.com
Clavel, R.: Device for the Movement and Positioning of an Element in Space. Patent number: US 4976582 (1990)
Rey, L., Clavel, R.: The Delta Parallel Robot. In: Boer, C.R., Molinari-Tosatti, L., Smith, K.S. (eds.) Parallel Kinematic Machine: Theoretical Aspects and Industrial Requirements, pp. 401–417. Springer, New York (1999)
Huang, T., Li, M., Li, Z.X., et al.: Optimal Kinematic Design of 2-DOF Parallel Manipulators with Well-shaped Workspace Bounded by a Specified Conditioning Index. IEEE Transactions on Robotics and Automation 20, 538–542 (2004)
Huang, T., Mei, J.P., Li, Z.X.: A Method for Estimating Servomotor Parameters of a Parallel Robot for Rapid Pick-and-Place Operations. ASME Journal of Mechanical Design 127, 596–601 (2005)
Weck, M., Staimer, D.: Parallel Kinematic Machine Tools: Current State and Future Potentials. Annals of the CIRP 51, 671–683 (2002)
Merlet, J.P.: Solid Mechanics and Its Applications, 2nd edn., vol. 128. Springer, The Netherlands (2006)
Francois, P., Vincent, N., Sebastien, K., et al.: Optimal Design of a 4-DOF Parallel Manipulator: From Academic to Industry. IEEE Transactions on Robotic 25(2), 213–224 (2009)
Liu, X.J., Wu, C., Wang, J.S.: A New Index for the Performance Evaluation of Parallel Manipulators: A Study on Planar Parallel Manipulators. In: The 7th World Congress on Intelligent Control and Automation, Chongqing, China, pp. 353–357 (2008)
Kim, S.G., Ryu, J.: Optimal Design of 6-DOF Parallel Manipulators Using Three Point Coordinate. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, Hawaii, USA, pp. 2178–2183 (2001)
Wang, Z.F., Ji, S.M., Wan, Y.H., et al.: Optimal Design of Parallel Robot for the Prescribed Regular Dexterous Workspace. In: IEEE International Conference on Automation and Logistics, Jinan, China, pp. 565–568 (2007)
Merlet, J.P.: Jacobian, Manipulability, Condition Number, and Accuracy of Parallel Manipulators. Journal of Mechanical Design 128, 199–206 (2006)
Ma, O., Angeles, J.: Optimum Architecture Design of Platform Manipulator. In: IEEE Int. Conf. Robotics and Automation, pp. 1131–1135 (1991)
Ranjbaran, F., Angeles, J., Kecskemethy, A.: On the Kinematic Conditioning of Robotic Manipulators. In: IEEE International Conference on Robotics and Automation, Minneapolis, Minnesota, pp. 3167–3172 (1996)
Pott, A., Boye, T., Hiller, M.: Parameter Synthesis for Parallel Kinematic Machines From Given Process requirements. In: IEEE/ASME International Conference on Advanced Intelligent Mechatronics Monterey, California, USA, pp. 753–758 (2005)
Kim, H.S., Tsai, L.W.: Design Optimization of a Cartesian Parallel Manipulator. ASME Journal of Mechanical Design 125, 43–51 (2003)
Liu, X.J., Jin, Z.L., Gao, F.: Optimum design of 3-DOF spherical parallel manipulators with respect to the conditioning and stiffness indices. Mechanism and Machine Theory 35, 1257–1267 (2000)
Zhang, L.M., Song, Y.M.: Optimal Design of the Delta Robot Based on Dynamics. In: IEEE International Conference on Robotic and Automation, Shanghai, China, pp. 336–341 (2011)
Zhang, L.M., Mei, J.P., Zhao, X.M., et al.: Dimensional Synthesis of the Delta Robot Using Transmission Angle Constraints. Robotica, 1–7 (2011)
Codourey, A.: Dynamic Modeling of Parallel Robots for Computed-torque Control Implementation. Int. J. Robot. Res. 17, 1325–1336 (1998)
Choi, H., Konno, A., Uchiyama, M.: Inverse Dynamic Analysis of a 4-DOF Parallel Robot H4. In: IEEE International Conference on Intelligent Robotic Systems, Sendai, Japan, pp. 3501–3506 (2004)
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Lian, B., Song, Y., Dong, G., Sun, T., Qi, Y. (2012). Dimensional Synthesis of a Planar Parallel Manipulator for Pick-and-Place Operations Based on Rigid-Body Dynamics. In: Su, CY., Rakheja, S., Liu, H. (eds) Intelligent Robotics and Applications. ICIRA 2012. Lecture Notes in Computer Science(), vol 7506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33509-9_25
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DOI: https://doi.org/10.1007/978-3-642-33509-9_25
Publisher Name: Springer, Berlin, Heidelberg
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