. Arnold, M. Multi-rate time integration for large scale multibody system models, pages 1–10. Springer Netherlands, Dordrecht, 2007. doi abstract bibtex In industrial applications of multibody dynamics the standard time integration methods are implicit. They are tailored to small and medium-sized nonlinear differential-algebraic equations of motion that may contain stiff components resulting from stiff force elements [1]. In high-end applications with thousands of degrees of freedom these implicit solvers show a dramatical loss of efficiency. Typical examples are multibody system models of vehicles that move along large elastic structures [3] and the dynamical simulation of combustion engines with chain drives [2]. Large scale problems that are composed of subsystems with different time scales may be handled efficiently by multi-rate methods that use different time stepsizes in different subsystems. In the present paper, we consider theoretical and practical aspects of multi-rate time integration in multibody dynamics.
@InBook{ Arnold_2007ab,
abstract = {In industrial applications of multibody dynamics the standard time integration methods are implicit. They are tailored to small and medium-sized nonlinear differential-algebraic equations of motion that may contain stiff components resulting from stiff force elements [1]. In high-end applications with thousands of degrees of freedom these implicit solvers show a dramatical loss of efficiency. Typical examples are multibody system models of vehicles that move along large elastic structures [3] and the dynamical simulation of combustion engines with chain drives [2]. Large scale problems that are composed of subsystems with different time scales may be handled efficiently by multi-rate methods that use different time stepsizes in different subsystems. In the present paper, we consider theoretical and practical aspects of multi-rate time integration in multibody dynamics.},
address = {Dordrecht},
author = {Arnold, Martin},
booktitle = {{IUTAM} Symposium on Multiscale Problems in Multibody System},
doi = {10.1007/978-1-4020-5981-0_1},
editor = {Eberhard, P.},
file = {Arnold_2007ab.pdf},
keywords = {cosimulation,multirate,multibody,dynamic-iteration,stability},
langid = {english},
pages = {1--10},
publisher = {Springer Netherlands},
title = {Multi-rate time integration for large scale multibody system models},
year = {2007}
}
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