Abstract
This chapter addresses the dimensional synthesis of parallel kinematics machines. A multiobjective optimization problem is proposed in order to determine optimum structural and geometric parameters of parallel manipulators. The proposed approach is applied to the optimum design of a three-degree-of-freedom planar parallel manipulator in order to minimize the mass of the mechanism in motion and to maximize its regular shaped workspace.
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References
Hay, A.M., Snyman, J.A. (2004) Methodologies for the optimal design of parallel manipulators. International Journal for Numerical Methods in Engineering, 59(11):131–152.
Merlet, J.P. (2006) Parallel Robots. Kluwer, Norwell, MA.
Lou, Y., Liu, G., Chen, N., Li, Z. (2005) Optimal design of parallel manipulators for maximum effective regular workspace. Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, Alberta, pp. 795–800.
Lou, Y., Liu, G., Li, Z. (2008) Randomized optimal design of parallel manipulators. IEEE Transactions on Automation Science and Engineering, 5(2):223–233,.
Ottaviano, E., Ceccarelli, M. (May 2000) Workspace and optimal design of a pure translation parallel manipulator-tsai manipulator. Meccanica, 35(3):203–214.
Ottaviano, E., Ceccarelli, M. (2001) Optimal design of capaman (cassino parallel manipulator) with prescribed workspace. 2nd Workshop on Computational Kinematics KC2001, Seoul, South Korea, pp. 35–43.
Hao, F., Merlet, J.-P. (2005) Multi-criteria optimal design of parallel manipulators based on interval analysis. Mechanism and Machine Theory, 40(2):157–171.
Ceccarelli, M., Carbone, G., Ottaviano, E. (2005) Multi criteria optimum design of manipulators. In Bulletin of the Polish Academy of Technical Sciences, 53(1):9–18.
Gosselin, C.M., Angeles, J. (1988) The optimum kinematic design of a planar three-degree-of-freedom parallel manipulator. ASME Journal of Mechanisms, Transmission and Automation in Design, 110:35–41.
Gosselin, C.M., Angeles, J. (1989) The optimum kinematic design of a spherical three-degree-of-freedom parallel manipulator. Journal of Mechanisms, Transmissions and Automation in Design, 111(2):202–207.
Pham, H.H., Chen, I.-M. (2003) Optimal synthesis for workspace and manipulability of parallel flexure mechanism. Proceeding of the 11th World Congress in Mechanism and Machine Science, Tianjin, China, April 1–4 2003, pp 2069–2073.
Stamper, R.E., Tsai, L.-W., Walsh, G.C. (1997) Optimization of a three-dof translational platform for well-conditioned workspace. Proceedings of the IEEE International Conference on Robotics and Automation, New Mexico, pp. 3250–3255.
Stock, M., Miller, K. (2003) Optimal kinematic design of spatial parallel manipulators: Application of linear delta robot. Transactions of the ASME, Journal of Mechanical Design, 125(2):292–301.
Menon, C., Vertechy, R., Markot, M.C., Parenti-Castelli, V. (February 2009) Geometrical optimization of parallel mechanisms based on natural frequency evaluation: application to a spherical mechanism for future space applications. IEEE Transactions on Robotics, 25(1):12–24.
Li, H., Yang, Z., Huang, T. (2009) Dynamics and elasto-dynamics optimization of a 2-dof planar parallel pick and place robot with flexible links. Journal of Structural and Multidisciplinary Optimization, 38(2):195–204.
Krefft, M., Hesselbach, J. (2005) Elastodynamic optimization of parallel kinematics. Proceedings of the IEEE International Conference on Automation Science and Engineering, Edmonton, AB, Canada, Aug 1–2 2005.
Chablat, D., Wenger, P. (2003) Architecture optimization of a 3-dof parallel mechanism for machining applications, the orthoglide. IEEE Transactions On Robotics and Automation, 19(3):403–410.
Chablat, D., Wenger, Ph., Caro, S., Angeles, J. (2002) The isoconditioning loci of planar 3-dof parallel manipulator. Proceedings of DETC’2002, ASME Design Engineering Technical Conference, Montreal, QC, Canada, 29 Sep–2 Oct 2002.
Chablat, D., Wenger, P. (May 1998) Working modes and aspects in fully parallel manipulators. Proceedings of the IEEE International Conference on Robotics and Automation, pp. 1964–1969.
Gosselin, C.M., Merlet, J.P. (1994) The direct kinematics of planar parallel manipulators: special architectures and number of solutions. Mechanism and Machine Theory, 29(8):1088–1097.
Pashkevich, A., Chablat, D., Wenger, P. (2009) Stiffness analysis of overconstrained parallel manipulators. Mechanism and Machine Theory, 44(5):966–982.
Pashkevich, A., Chablat, D., Wenger, P. (2009) Design optimization of parallel manipulators for high-speed precision machining application. 13th IFAC Symposium on Information Control Problems in Manufacturing, Moscow, Russia, 3–5 June 2009.
Liu, X.J., Wang, J., Oh, K.K., Kim, J. (February 2004) A new approach to the design of a delta robot with a desired workspace. Journal of Intelligent and Robotic Systems, 39(2):209–225.
Wenger, P., Chablat, D. (2000) Kinematic analysis of a new parallel machine tool: The orthoglide. Proceedings of the 7th International Symposium on Advances in Robot Kinematics, Portoroz, Slovenia.
Li, Z. (1990) Geometrical consideration of robot kinematics singularities. The International Journal of Robotics and Automation, 5(3):139–145.
Paden, B., Sastry, S. (1988) Optimal kinematic design of 6r manipulator. The International Journal of Robotics Research, 7(2):43–61.
Ranjbaran, F., Angeles, J., Gonzalez Palacios, M.A., Patel, R. (1995) The mechanical design of a seven-axes manipulator with kinematic isotropy. ASME Journal of Intelligent and Robotic Systems, 14(1):21–41.
ESTECO (2008) Modefrontier, version 4.0.3.
Altuzarra, O., Salgado, O., Hernandez, A., Angeles, J. (2009) Multiobjective optimum design of a symmetric parallel schnflies-motion generator. ASME Journal of Mechanical Design, 131(3):031002-1–031002-11.
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Caro, S., Chablat, D., Ur-Rehman, R., Wenger, P. (2011). Multiobjective Design Optimization of 3–PRR Planar Parallel Manipulators. In: Bernard, A. (eds) Global Product Development. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15973-2_37
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DOI: https://doi.org/10.1007/978-3-642-15973-2_37
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