Towards a Parallel Time Integration Method for Nonlinear Systems

  • Paul L. C. van der Valk
  • Daniel J. Rixen
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)


Obtaining the forced dynamic response of large nonlinear structural models is in practice computationally expensive. As time integration involves solving a static-like nonlinear problem at each time steps, these simulations could take up to several days to solve. In a lot of cases however, the global nonlinearity of the model could be relatively mild or parts of the model can be assumed to behave linearly and the strong nonlinearities, that require many iterations to solve, are localized in a small number of regions of the model. Normal approaches to solve this more efficiently require one to reduce the linear and/or mildly nonlinear parts of the system. In this paper however, a different approach is taken. Here we decompose the total time integration by separating the iterations required, into iterations on the global (linearized) interface problem and iterations on the (local) substructure level. It will be shown that this approach leads to a method that can be efficiently implemented in a parallel computing environment.


Nonlinear models Newmark time integration Dual assembly Simulations Parallel computations 


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Copyright information

© The Society for Experimental Mechanics, Inc. 2014

Authors and Affiliations

  1. 1.Faculty of 3ME, Section Engineering DynamicsDelft University of TechnologyDelftThe Netherlands
  2. 2.Faculty of Mechanical Engineering, Institute of Applied MechanicsTechnische Universität MünchenGarchingGermany

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