Apparatus for modelling interaction of rigid bodies

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ABSTRACT:
Apparatus for modelling or simulating the dynamics of interacting rigid bodies. In the apparatus, the rigid bodies are represented as convex polyhedra. Contacts between the bodies are modelled as contacts between a face and a vertex or between edges. All other types of contact are reduced to these types. The beginning or end of a contact is determined by means of linear interpolation. The dynamics of the contacts are modelled as contacts between massless rigid surface elements which are connected by massless viscous layers to the objects. The viscous layer connecting a surface element to its object permits the surface element to move either perpendicular to or tangent to the plane of contact. The properties of the viscous layers determine the dynamics of the contacts. In the implementation, the properties are described by means of two systems of springs and dampers, one permitting motion in the perpendicular direction and the other motion in the tangential direction. Parameters of the spring and damper systems may be set as required to model contacts between various kinds of objects.

REFERENCES:
C. R. Walton, "Numerical Simulation of Inelastic, Frictional Particle--Particle Interactions", Particulate Two-Phase Flow, Chapter 25, edited by M. C. Roco, Butterworth-Heinemann, Boston 1992.
O. R. Walton, "Description of DIBS (Discrete Interacting Block System) Movie", Lawrence Livermore Laboratory, LLNL Technical Photo Print No. 1470), UCID-19804, May 1983.
P. A. Cundall, "Formulation of a Three-dimensional Distinct Element Model--Part I. A Scheme to Detect and Represent Contacts in a System Composed of Many Polyhedral Blocks", Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., vol. 25, No. 3, pp. 107-116, 1988.
R. Hart, P. A. Cundall, J. Lemos, "Formulation of a Three-Dimensional Distinct Element Model--Part II. Mechanical Calculations for Motion and Interaction of a System Composed of Many Polyhedral Blocks", Int. J. Rock Mech. Min. Sci. & Goemech. Abstr., vol. 25, No. 3, pp. 117-125, 1988.
P. A. Cundall and O. K. L. Strack, "A Discrete Numerical Model for Granular Assemblies", Geotechnique, vol. 29, No. 1, 47-65 (1979).

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