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**Harvard**

Chen, Y., Linderholt, A. och Abrahamsson, T. (2016) *An Efficient Simulation Method for Large-Scale Systems with Local Nonlinearities*. New York : Springer Verlag

** BibTeX **

@conference{

Chen2016,

author={Chen, Y. S. and Linderholt, Andreas and Abrahamsson, Thomas},

title={An Efficient Simulation Method for Large-Scale Systems with Local Nonlinearities},

booktitle={Special Topics in Structural Dynamics, Vol 6, 34th Imac},

isbn={978-3-319-29910-5},

pages={259-267},

abstract={In practice, most mechanical systems show nonlinear characteristics within the operational envelope. However, the nonlinearities are often caused by local phenomena and many mechanical systems can be well represented by a linear model enriched with local nonlinearities. Conventional nonlinear response simulations are often computationally intensive; the problem which becomes more severe when large-scale nonlinear systems are concerned. Thus, there is a need to further develop efficient simulation techniques. In this work, an efficient simulation method for large-scale systems with local nonlinearities is proposed. The method is formulated in a state-space form and the simulations are done in the Matlab environment. The nonlinear system is divided into a linearized system and a nonlinear part represented as external nonlinear forces acting on the linear system; thus taking advantage in the computationally superiority in the locally nonlinear system description compared to a generally nonlinear counterpart. The triangular-order hold exponential integrator is used to obtain a discrete state-space form. To shorten the simulation time additionally, auxiliary matrices, similarity transformation and compiled C-codes (mex) to be used for the time integration are studied. Comparisons of the efficiency and accuracy of the proposed method in relation to simulations using the ODE45 solver in Matlab and MSC Nastran are demonstrated on numerical examples of different model sizes.},

publisher={Springer Verlag},

place={New York},

year={2016},

keywords={Efficient time integration, Triangular-order hold, State-space, Locally nonlinear systems, C-code/mex },

}

** RefWorks **

RT Conference Proceedings

SR Electronic

ID 242951

A1 Chen, Y. S.

A1 Linderholt, Andreas

A1 Abrahamsson, Thomas

T1 An Efficient Simulation Method for Large-Scale Systems with Local Nonlinearities

YR 2016

T2 Special Topics in Structural Dynamics, Vol 6, 34th Imac

SN 978-3-319-29910-5

SP 259

OP 267

AB In practice, most mechanical systems show nonlinear characteristics within the operational envelope. However, the nonlinearities are often caused by local phenomena and many mechanical systems can be well represented by a linear model enriched with local nonlinearities. Conventional nonlinear response simulations are often computationally intensive; the problem which becomes more severe when large-scale nonlinear systems are concerned. Thus, there is a need to further develop efficient simulation techniques. In this work, an efficient simulation method for large-scale systems with local nonlinearities is proposed. The method is formulated in a state-space form and the simulations are done in the Matlab environment. The nonlinear system is divided into a linearized system and a nonlinear part represented as external nonlinear forces acting on the linear system; thus taking advantage in the computationally superiority in the locally nonlinear system description compared to a generally nonlinear counterpart. The triangular-order hold exponential integrator is used to obtain a discrete state-space form. To shorten the simulation time additionally, auxiliary matrices, similarity transformation and compiled C-codes (mex) to be used for the time integration are studied. Comparisons of the efficiency and accuracy of the proposed method in relation to simulations using the ODE45 solver in Matlab and MSC Nastran are demonstrated on numerical examples of different model sizes.

PB Springer Verlag

LA eng

DO 10.1007/978-3-319-29910-5_27

LK http://dx.doi.org/10.1007/978-3-319-29910-5_27

OL 30