Modeling of contact with the environment is an essential capability for the simulation of space robotics system, which includes tasks such as berthing and docking. The effect of interbody contact on the robotic system has to be determined to predict potential problems in the design cycle. A compliant contact dynamics model is proposed here that considers most possible contact situations for a wide diversity of possible object shapes and using interference geometry information. A uniform formula is provided to determine the contact force as a function of geometric parameters and material properties. A corresponding geometric algorithm is provided in order to obtain the necessary geometric parameters. Some simulation results are presented based on the implementation of the geometric algorithm.
Issue Section:
Research Papers
1.
Ma
, O.
, 1995, “Contact Dynamics Modeling for the Simulation of the Space Station Manipulators Handling Payloads
,” IEEE International Conference on Robotics and Automation
, Vol. 2
, pp. 1252
–1258
.2.
Gilardi
, G.
, and Sharf
, I.
, 2002, “Literature Survey of Contact Dynamics Modeling
,” Mech. Mach. Theory
0094-114X, 37
, pp. 1213
–1239
.3.
Kim
, S. W.
, 1999, “Contact Dynamics and Force Control of Flexible Multi-Body Systems
,” Ph.D. thesis, McGill University, Montreal.4.
Brach
, R. M.
, 1991, Mechanical Impact Dynamics: Rigid Body Collisions
, Wiley
, New York
.5.
Mason
, M. T.
, and Wang
, Y.
, 1988, “On the Inconsistency of Rigid-Body Frictional Planar Mechanics
,” IEEE International Conference on Robotics and Automation
, Vol. 1
, pp. 524
–528
.6.
Stronge
, W. J.
, 1991, “Unravelling Paradoxical Theories for Rigid Body Collisions
,” ASME J. Appl. Mech.
0021-8936, 58
, pp. 1049
–1055
.7.
Vukobratovic
, M. K.
, and Potkonjak
, V.
, 1999, “Dynamics of Contact Tasks in Robotics. Part I: General Model of Robot Interacting With Environment
,” Mech. Mach. Theory
0094-114X, 34
, pp. 923
–942
.8.
Goldsmith
, W.
, 1960, Impact: The Theory and Physics Behavior of Colliding Solids
, Edward Arnold Publishers
, London
.9.
Hunt
, K. H.
, and Grossley
, F. R. E.
, 1975, “Coefficient of Restitution Interpreted as Damping in Vibroimpact
,” ASME J. Appl. Mech.
0021-8936, 45
, pp. 440
–445
.10.
De Mul
, J. M.
, Kalker
, J. J.
, and Fredriksson
, B.
, 1986, “The Contact Between Arbitrarily Curved Bodies of Finite Dimensions
,” ASME J. Tribol.
0742-4787, 108
, pp. 140
–148
.11.
Johnson
, K. L.
, 1985, Contact Mechanics
, Cambridge University Press
, Cambridge, England
.12.
Lankarani
, H. M.
, and Nikravesh
, P. E.
, 1990, “A Contact Force Model With Hysteresis Damping for Impact Analysis of Multibody Systems
,” J. Mech. Des.
1050-0472, 112
, pp. 369
–376
.13.
Marherfka
, D. W.
, and Orin
, D. E.
, 1999, “A Compliant Contact Model With Nonlinear Damping for Simulation of Robotic Systems
,” IEEE Trans. Syst. Man Cybern.
0018-9472, 29
(6
), pp. 566
–572
.14.
Houpert
, L.
, 2001, “An Engineering Approach to Hertzian Contact Elasticity—Part I
,” ASME J. Tribol.
0742-4787, 123
, pp. 582
–588
.15.
Henrich
, D.
, Ogasawara
, T.
, and Worn
, H.
, 1999, “Manipulating Deformable Linear Objects: Contact States and Point Contacts
,” IEEE International Symposium on Assembly and task planning (ISATP’99)
, Porto
, Portugal, pp. 198
–204
.16.
Ciavarella
, M.
, 1999, “Indentation by Nominally Flat or Conical Indenters With Round Corners
,” Int. J. Solids Struct.
0020-7683, 36
, pp. 4149
–4181
.17.
Ciavarella
, M.
, Hills
, D. A.
, and Monno
, G.
, 1998, “Contact Problems for a Wedge With Rounded Apex
,” Int. J. Mech. Sci.
0020-7403, 40
, pp. 977
–988
.18.
Rhadem
, R.
, and O’conner
, J. J.
, 1969, “Adhesive or Frictionless Compression of an Elastic Rectangle Between Two Identical Elastic Half-Spaces
,” Int. J. Eng. Sci.
0020-7225, 7
, pp. 153
–168
.19.
Rhadem
, R.
, and O’Conner
, J. J.
, 1969, “Axial Compression of an Elastic Circular Cylinder in Contact With Two Identical Elastic Half-Spaces
,” Int. J. Eng. Sci.
0020-7225, 7
, pp. 785
–800
.20.
Fabrikant
, V. I.
, 1986, “Flat Punch of Arbitrary Shape on an Elastic Half-Space
,” Int. J. Eng. Sci.
0020-7225, 24
, pp. 1731
–1740
.21.
Hills
, D. A.
, Nowell
, D.
, and Sackfield
, A.
, 1993, Mechanics of Elastic Contacts
, Butterworth-Heinemann
, Oxford
.22.
Saada
, A. S.
, 1993, Elasticity Theory and Applications
, Krieger
, Melbourne, FL
.23.
Ma
, O.
, and Nahon
, M.
, 1992, “A General Method for Computing the Distance Between Two Moving Objects Using Optimization Techniques
,” ASME Advances in Design Automation
, ASME
, New York
, Vol. 1
, pp. 109
–117
.24.
Preparata
, F. P.
, and Shamos
, M. I.
, 1985, Computational Geometry: An Introduction
, Springer-Verlag
, Berlin
.25.
O’Rourke
, J.
, 1993, Computational Geometry in C
, Cambridge University Press
, Cambridge, England
.26.
Hasegawa
, S.
, and Sato
, M.
, 2004, “Real-Time Rigid Body Simulation for Haptic Interactions Based on Contact Volume of Polygonal Objects
,” Computer Graphics Forum
, Vol. 23
, pp. 529
–538
.27.
Ma
, O.
, 2002, New Mexico State University at Las Cruces, personal communication.28.
Luo
, L.
, and Nahon
, M.
, 2005, “A Compliant Contact Model Including Interference Geometry for Space Robotic Systems
,” Proceedings of ASME International Design Engineering Technical Conferences& Computers and Information in Engineering Conference
, Long Beach, CA, ASME
, New York
, 6
, pp. 487
–496
.29.
Gonthier
, Y.
, McPhee
, J.
, Lange
, C.
, and Piedboeuf
, J.-C.
, 2005, “A Contact Modeling Method Based on Volumetric Properties
,” Proceedings of ASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference
, Long Beach, CA, ASME
, New York
, 6
, pp. 477
–486
.Copyright © 2006
by American Society of Mechanical Engineers
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