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The premise of this work is that the presence of high stiffness and/or frictional contact/impact phenomena limits the effective use of high order integration formulas when numerically investigating the time evolution of real-life mechanical systems. Producing a numerical solution relies most often on low order integration formulas of which the paper(More)
  • Hammad Mazhar, Toby Heyn, Arman Pazouki, Daniel Melanz, Andrew Seidl, Aaron Bartholomew +2 others
  • 2012
The last decade witnessed a manifest shift in the microprocessor industry towards chip designs that promote parallel computing. Until recently the privilege of a select group of large research centers, Ter-aflop computing is becoming a commodity owing to inexpensive GPU cards and multi to many-core x86 processors. This paradigm shift towards large scale(More)
  • Dan Negrut, Gisli Ottarsson, Rajiv Rampalli, Anthony Sajdak
  • 2006
The paper presents theoretical and implementation aspects related to a numerical integrator used for the simulation of large mechanical systems with flexible bodies and contact/impact. The proposed algorithm is based on the Hilber-Hughes-Taylor implicit method and is tailored to answer the challenges posed by the numerical solution of index 3(More)
This paper has not been submitted elsewhere in identical or similar form, nor will it be during the first three months after its submission to Multibody System Dynamics. Abstract. When performing dynamic analysis of a constrained mechanical system, a set of index 3 differential algebraic equations (DAE) describes the time evolution of the model. This paper(More)
This document highlights aspects related to the support and use of unified, or managed, memory in CUDA 6. The discussion provides an opportunity to revisit two other CUDA memory transaction topics: zero-copy memory and unified virtual addressing. The latter two can be regarded as intermediary milestones in a process that has led in CUDA 6 to the release of(More)
In the context of simulating the frictional contact dynamics of large systems of rigid bodies, this paper reviews a novel method for solving large cone complementarity problems by means of a fixed-point iteration algorithm. The method is an extension of the Gauss-Seidel and Gauss-Jacobi methods with overrelaxation for symmetric convex linear complementarity(More)
SUMMARY We present two methods for efficiently sampling the response (trajectory space) of multibody systems operating under spatial uncertainty, when the latter is assumed to be representable with Gaussian processes. In this case, the dynamics (time evolution) of the multibody systems depends on spatially indexed uncertain parameters that span infinite(More)
  • Radu Serban, Dan Negrut, Florian A Potra, Edward J Haug
  • 1997
In this paper, a new method to efficiently compute accelerations and Lagrange multipliers in the equations of multibody dynamics is presented. These quantities are the solution of a system of linear equations whose coefficient matrix has the special structure of an optimization matrix. This matrix is likely to have a large number of zero entries, according(More)
This paper describes a numerical method for the parallel solution of the differential measure inclusion problem posed by mechanical multibody systems containing bilateral and unilateral frictional constraints. The method proposed has been implemented as a set of parallel algorithms leveraging NVIDIA's Compute Unified Device Architecture (CUDA) library(More)
SUMMARY Many-body dynamics problems are expected to handle millions of unknowns when, for instance, investigating the three-dimensional flow of granular material. Unfortunately, the size of the problems tractable by existing numerical solution techniques is severely limited on convergence grounds. This is typically the case when the equations of motion(More)