Advertisement

Mechanics of Impact for Compliant Multi-Body Systems

  • W. J. Stronge
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 72)

Abstract

In multi-body systems an external impact introduces internal reactions that are required to maintain constraints on relative displacements between points of contact on adjacent elements. The constraints can be either unilateral or bilateral. Unilateral constraints occur at points of contact where terminal relative velocity and contact forces are positive in a direction normal to the tangent plane; i.e. contact points on adjacent bodies must finally separate as in problems of granular flow. On the other hand, bilateral constraints represent linkages where at each joint the relative velocity finally vanishes. Here we are concerned with external impact on multi-body systems with unilateral constraints.

Keywords

Contact Force Contact Point Relative Velocity Multibody System Contact Region 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Cundall, P.A. and Strack, O.D.L. (1979) A discrete numerical model for granular assemblies, Geotechnique 29, 47–65.CrossRefGoogle Scholar
  2. Glocker, Ch and Pfeiffer, F. (1995) Multiple impacts with friction in rigid multibody systems, Advances in Nonlinear Dynamics (ed. A.K. Bajaj & S.W. Shaw), Kluwer Academic Pub.Google Scholar
  3. Johnson, W. (1976) ’simple’ linear impact, Int. J. Mech. Engng. Ed., 4, 167–181.Google Scholar
  4. Keller, J. (1986) Impact with friction, ASME J. Appl. Mech. 53, 1–4.ADSzbMATHCrossRefGoogle Scholar
  5. Pereira, M.S. and Nikravesh, P. (1996) Impact dynamics of multibody systems with frictional contact using joint coordinates and canonical equations of motion, Nonlinear Dynamics 9, 53–71.MathSciNetCrossRefGoogle Scholar
  6. Singh, Shukla & Zervas (1996) Explosively generated pulse propagation through particles containing natural cracks, Mechanics of Materials 23, 255–270CrossRefGoogle Scholar
  7. Stronge, W.J. (1989) Rigid body collisions with friction, Proc. Roy. Soc. Lond. A431, 169–181.MathSciNetADSGoogle Scholar
  8. Stronge, W.J. (1994) Planar impact of rough compliant bodies, Int. J. Impact Engng. 15, 435–450.CrossRefGoogle Scholar
  9. Wittenburg, J. (1977) Dynamics of System of Rigid Bodies. Teubner, StuttgartCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • W. J. Stronge
    • 1
  1. 1.Department of EngineeringUniversity of CambridgeCambridgeUK

Personalised recommendations