TY - GEN
T1 - Towards a parallel time integration method for nonlinear systems
AU - van der Valk, Paul L.C.
AU - Rixen, Daniel J.
N1 - Publisher Copyright:
© The Society for Experimental Mechanics, Inc. 2014.
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
KW - Dual assembly
KW - Newmark time integration
KW - Nonlinear models
KW - Parallel computations
KW - Simulations
UR - http://www.scopus.com/inward/record.url?scp=84988732068&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-04501-6_12
DO - 10.1007/978-3-319-04501-6_12
M3 - Conference contribution
AN - SCOPUS:84988732068
SN - 9783319007700
T3 - Conference Proceedings of the Society for Experimental Mechanics Series
SP - 135
EP - 145
BT - Dynamic Behavior of Materials - Proceedings of the 2013 Annual Conference on Experimental and Applied Mechanics
PB - Springer New York LLC
T2 - 32nd IMAC Conference and Exposition on Structural Dynamics, 2014
Y2 - 3 February 2014 through 6 February 2014
ER -