Authors

Stefano Stramigioli, Vincent Duindam

Abstract

In this paper, the geometrical description of viscoelastic contacts is described using physical modeling concepts based on energy conservation and network theory. The proposed model is on one side simple enough to be used in real time applications and on the other captures the geometrical features and coupling of a complete spatial geometric unisotropical contact.

Keywords

Contacts; Geometry; Port-Hamiltonian

Citation

  • Journal: European Journal of Control
  • Year: 2004
  • Volume: 10
  • Issue: 5
  • Pages: 505–514
  • Publisher: Elsevier BV
  • DOI: 10.3166/ejc.10.505-514

BibTeX

@article{Stramigioli_2004,
  title={{Port Based Modeling of Spatial Visco-Elastic Contacts}},
  volume={10},
  ISSN={0947-3580},
  DOI={10.3166/ejc.10.505-514},
  number={5},
  journal={European Journal of Control},
  publisher={Elsevier BV},
  author={Stramigioli, Stefano and Duindam, Vincent},
  year={2004},
  pages={505--514}
}

Download the bib file

References

  • Bloch, Representation of dirac structures on vector spaces and nonlinear lcv-circuits. (1999)
  • Armstrong-Hélouvry, B., Dupont, P. & De Wit, C. C. A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica vol. 30 1083–1138 (1994) – 10.1016/0005-1098(94)90209-7
  • Bicchi, Robotic grasping and contact: a review. (2000)
  • Courant, T. J. Dirac manifolds. Transactions of the American Mathematical Society vol. 319 631–661 (1990) – 10.1090/s0002-9947-1990-0998124-1
  • Cutkosky, M. R. & Wright, P. K. Friction, Stability and the Design of Robotic Fingers. The International Journal of Robotics Research vol. 5 20–37 (1986) – 10.1177/027836498600500402
  • Duindam, Modeling the kinematics and dynamics of compliant contact. (2003)
  • Harris, (1990)
  • Howard, On the 6×6 stiffness matrix for three dimensional motions. (1995)
  • Hunt, Coefficient of restitution interpreted as damping in vibroimpact. ASMEJAM (1975)
  • Landzettel, Rokviss verification of advanced tele-presence concepts for future space missions. (2002)
  • Marhefka, D. W. & Orin, D. E. A compliant contact model with nonlinear damping for simulation of robotic systems. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans vol. 29 566–572 (1999) – 10.1109/3468.798060
  • Marigo, A. & Bicchi, A. Rolling bodies with regular surface: controllability theory and applications. IEEE Transactions on Automatic Control vol. 45 1586–1599 (2000) – 10.1109/9.880610
  • Montana, D. J. The Kinematics of Contact and Grasp. The International Journal of Robotics Research vol. 7 17–32 (1988) – 10.1177/027836498800700302
  • Montana, The kinematics of contact with compliance. (1989)
  • Paynter, (1960)
  • Stramigioli, (2001)
  • Tellegen, A general network theorem, with applications. Philips Res Rep (1952)
  • van der Schaft, The Hamiltonian formulation of energy conserving physical systems with external ports. Archiv für Elektronik und Ubertragungstechnik (1995)
  • van der Schaft, A. J. & Maschke, B. M. Hamiltonian formulation of distributed-parameter systems with boundary energy flow. Journal of Geometry and Physics vol. 42 166–194 (2002)10.1016/s0393-0440(01)00083-3
  • van der Schaft, Mathematical structures in the network representation of energy-conserving physical systems. (1996)
  • Visser, Screw bondgraph contact dynamics. (2002)
  • Zefran, Affine connections for the Cartesian stiffness matrix. (1997)