Abstract
This paper deals with the use of quasi-Newton methods for dynamical simulations of nonlinear flexible multibody systems which are modelled using absolute nodal coordinate formulation (ANCF). Three ANCF beam elements are briefly reminded and implemented. The Newmark integration method for index 3 differential-algebraic equations is coupled with the iterative quasi-Newton method in order to reduce computational time. The described algorithm is implemented and tested on the benchmark problem of a flexible pendulum.
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Acknowledgements
The work was supported from ERDF “Research and Development of Intelligent Components of Advanced Technologies for the Pilsen Metropolitan Area (InteCom)” (No.: CZ.02.1.01/0.0/0.0/17_048/0007267).
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Bulín, R., Hajžman, M. (2020). On the Numerical Treatment of Nonlinear Flexible Multibody Systems with the Use of Quasi-Newton Methods. In: Kecskeméthy, A., Geu Flores, F. (eds) Multibody Dynamics 2019. ECCOMAS 2019. Computational Methods in Applied Sciences, vol 53. Springer, Cham. https://doi.org/10.1007/978-3-030-23132-3_40
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DOI: https://doi.org/10.1007/978-3-030-23132-3_40
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