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Dynamic Equations of Parallel Robots in Minimal Dimensional Parameter-Linear Form

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Romansy 14

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 438))

Abstract

A new approach for modeling of the dynamics of parallel robots is presented. It leads to a formulation of the dynamic equations which is linear with respect to a dynamic parameter vector of minimal dimension. The algorithm utilizes Jourdain’s principle of virtual power. Therefore, the resulting code is very efficient. The parameter reduction is based on opening the kinematic loops so that general rules known from serial robots can be implemented. The efficiency of the approach is proven by application to model-based control of the hexapod PaLiDA.

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References

  • Beji, L., and Pascal, M. (1999). The kinematics and the full minimal dynamic model of a 6-DOF parallel robot manipulator. Nonlinear Dynamics 18: 339–356.

    Article  MATH  MathSciNet  Google Scholar 

  • Codourey, A., and Burdet, E. (1997). A body-oriented method for finding a linear form of the dynamic equation of fully parallel robots. In Proc. of the 1997 IEEE International Conference on Robotic and Automation,1612–1618. IEEE.

    Google Scholar 

  • Gautier, M., and Khalil, W. (1988). A direct determination of minimum inertial parameters of robots. In Proc. of the IEEE Int. Conf. on Robotics and Automation, 1682–1687.

    Google Scholar 

  • Grotjahn, M., and Heimann, B. (2000). Determination of dynamic parameters of robots by base sensor measurements. In Proc. of the sixth IFAC Symposium on Robot Control (SYROCO),volume 1,277–282.

    Google Scholar 

  • Honegger, M., Cordourey, A., and Burdet, E. (1997). Adaptive control of the hexaglide, a 6 DOF parallel manipulator. In Proc. of the 1997 IEEE International Conference on Robotics and Automation. IEEE.

    Google Scholar 

  • Honegger, M., Brega, R., and Schweitzer, G. (2000). Application of a nonlinear adaptive controller to a 6 DOF parallel manipulator. In Proc. of the 2000 IEEE Conference on Robotics and Automation,1930–1935. IEEE.

    Google Scholar 

  • Khalil, W., and Kleinfinger, J. F. (1986). A new geometric notation for open and closed-loop robots. In Proc. of the IEEE Int. Conf. on Robotics and Automation, volume 2, 1174–1179.

    Google Scholar 

  • Sirouspour, M., and Salcudean, S. (2001). Nonlinear control of hydraulic parallel manipulator. In Proc. of the 2001 IEEE International Conference on Robotics and Automation,3760–3765. IEEE.

    Google Scholar 

  • Tönshoff, H., Günther, G., and Grendel, H. (1999) Influence of drive principles and strut arrangements on the characteristics of parallel kinematics. In Proc. of the 1999 SAE Aerospace Manufacturing Technology Conference & Exposition,Paper–no. 1999–01–2277.

    Google Scholar 

  • Tönshoff, H., Grendel, H., and Günther, G. (2000). Actuator with linear direct drives for PKM robot applications. In Proc. of the 2000 Parallel Kinematic Machines Intern. Conf., 340–349.

    Google Scholar 

  • Tsai, L.-W. (1999). Robot analysis: the mechanics of serial and parallel manipulators. New York: John Wiley & Sons, Inc.

    Google Scholar 

  • Zhang, C. D., and Song, S. (1993). An efficient method for inverse dynamics of manipulators based on the virtual work principle. Journal of Robotic Systems 10 (5): 605–627.

    Article  MATH  MathSciNet  Google Scholar 

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© 2002 Springer-Verlag Wien

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Grotjahn, M., Kühn, J., Heimann, B., Grendel, H. (2002). Dynamic Equations of Parallel Robots in Minimal Dimensional Parameter-Linear Form. In: Bianchi, G., Guinot, JC., Rzymkowski, C. (eds) Romansy 14. International Centre for Mechanical Sciences, vol 438. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2552-6_10

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  • DOI: https://doi.org/10.1007/978-3-7091-2552-6_10

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-2554-0

  • Online ISBN: 978-3-7091-2552-6

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