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Stiffness analysis of multi-chain parallel robotic systems with loading

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EN
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EN
The paper presents a new stiffness modelling method for multi-chain parallel robotic manipulators with flexible links and compliant actuating joints. In contrast to other works, the method involves a FEA-based link stiffness evaluation and employs a new solution strategy of the kinetostatic equations, which allows computing the stiffness matrix for singular postures and to take into account influence of the external forces. The advantages of the developed technique are confirmed by application examples, which deal with stiffness analysis of a parallel manipulator of the Orthoglide family.
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  • Ecole des Mines de Nantes, 4 rue Alfred-Kastler, Nantes 44307, France; Institut de Recherches en Communications et Cybernetique de Nantes, UMR CNRS 6597, 1 rue de la No, 44321 Nantes, France, anatol.pashkevich@emn.fr
Bibliografia
  • [1] Brogardh T., “Present and future robot control development - An industrial perspective”,Annual Reviews in Control, vol. 31, no 1, 2007, pp. 69-79.
  • [2] Chanal H., Duc E., Ray P., “A study of the impact of machine tool structure on machining processes”,International Journal of Machine Tools and Manufacture, vol. 46, no 2, 2006, pp. 98-106.
  • [3] Merlet J.-P., Parallel Robots, Dordrecht: Kluwer Academic Publishers, 2000.
  • [4] Duffy J.,Statics and Kinematics with Applications to Robotics, New-York: Cambridge University Press, 1996.
  • [5] Kövecses J., Angeles J., “The stiffness matrix in elastically articulated rigid-body systems”,Multibody System Dynamics, vol. 18, no. 2, 2007, pp. 169-184.
  • [6] Alici G., Shirinzadeh B., “Enhanced Stiffness Modeling, Identification and Characterization for Robot Manipulators”,IEEE Transactions on Robotics, vol. 21, 2005 no 4, pp. 554-564.
  • [7] Gosselin C.M., “Stiffness mapping for parallel manipulators”, IEEE Transactions on Robotics and Automation ,vol. 6, no 3, 1990, pp. 377-382.
  • [8] Pashkevich A., Chablat D., Wenger P., “Stiffness analysis of 3-d.o.f. overconstrained translational parallel manipulators”,IEEE International Conference on Robotics and Automation, 2008, pp. 1562-1567.
  • [9] Chen S.F., Kao I., “Conservative congruence transformation for joint and Cartesian stiffness matrices of robotic hands and fingers”,International Journal of Robotics Research, vol. 19, no 9, 2000, pp. 835-847.
  • [10] Quennouelle C., Gosselin C.M.,Stiffness Matrix of Compliant Parallel Mechanisms Springer Advances in Robot Kinematics: Analysis and Design, 2008, pp. 331-341.
  • [11] Pashkevich A., Chablat D., Wenger P., “Stiffness analysis of overconstrained parallel manipulators”,Mechanism and Machine Theory, vol. 44, 2009, no. 5, pp. 966-982.
  • [12] Griffis M., Duffy J., “Global stiffness modeling of a class of simple compliant couplings”,Mechanism and Machine Theory, vol. 28, no 2, 1993, pp. 207-224.
  • [13] Pigoski T., Griffis M., Duffy J., “Stiffness mappings employing different frames of reference”,Mechanism and Machine Theory, vol. 33, 1998, no. 6, pp. 825-838.
  • [14] Ciblak N., Lipkin H., “Asymmetric Cartesian stiffness for the modeling of compliant robotic systems”, ASME Robotics: Kinematics, Dynamics and Controls, vol. 72,1994, pp. 197-204.
  • [15] Li Y., Xu Q., “Stiffness analysis for a 3-PUU parallel kinematic machine”, Mechanism and Machine Theory, vol. 43, no. 2, 2008, pp. 186-200.
  • [16] Clavel R., “DELTA, a fast robot with parallel geometry”.In:Proceedings, of the 18 International Symposium of Robotic Manipulators, IFR Publication, 1988, pp. 91-100.
  • [17] Chablat D. , Wenger P., “Architecture Optimization of a 3-DOF Parallel Mechanism for Machining Applications, the Orthoglide”,IEEE Transactions on Robotics and Automation, vol. 19, no 3, 2003, pp. 403-410.
  • [18] Timoshenko S., Goodier J.N.,Theory of elasticity , 3rd ed.,New York: McGraw-Hill, 1970.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ5-0025-0010
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