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On the Numerical Solution of Many-Body Contact Dynamics Problems Formulated as Complementarity Problems

[+] Author Affiliations
Toby Heyn, Dan Negrut

University of Wisconsin - Madison, Madison, WI

Mihai Anitescu

Argonne National Laboratory, Argonne, IL

Alessandro Tasora

Università degli Studi di Parma, Parma, Italy

David Lamb

US Army Tank Automotive Research, Development & Engineering Center (TARDEC), Warren, MI

Paper No. DETC2012-71148, pp. 61-69; 9 pages
  • ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 1st Biennial International Conference on Dynamics for Design; 14th International Conference on Advanced Vehicle Technologies
  • Chicago, Illinois, USA, August 12–15, 2012
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4505-9
  • Copyright © 2012 by ASME


This contribution is concerned with the modeling and simulation of many-body dynamics problems. In such problems, the solution method has to routinely handle millions of unknowns when, for instance, investigating granular dynamics related phenomena. Given the size of these problems, the scope of tractable applications may be limited by computational efficiency and/or computational accuracy. This scenario has been found to be the case when the equations of motion embed a differential variational inequality (DVI) problem that captures frictional/contact interactions between rigid and/or flexible bodies. As the size of the system increases, the speed and quality of the numerical solution may decrease. This contribution describes an alternative numerical method, called the Gradient Projected Minimum Residual or GPMINRES method, which demonstrates better scalability and performance (in terms of solution speed and accuracy) than methods commonly used to solve problems posed in this manner.

Copyright © 2012 by ASME



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