Articles | Volume 8, issue 1
https://doi.org/10.5194/wes-8-109-2023
https://doi.org/10.5194/wes-8-109-2023
Research article
 | 
16 Jan 2023
Research article |  | 16 Jan 2023

A correction method for large deflections of cantilever beams with a modal approach

Ozan Gözcü, Emre Barlas, and Suguang Dou

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Cited articles

Barter, G., Gaertner, E., Bortolotti, P., Abbas, N. J., Rinker, J., Zahle, F., Branlard, E., Lapadron, Hall, M., Dzalkind, and Issraman: IEAWindTask37/IEA-15-240-RWT: IEA Wind 15-MW Reference Wind Turbine update, v1.1, Zenodo [data set], https://doi.org/10.5281/zenodo.6330754, 2022. a
Bauchau, O. A.: DYMORE user's manual: Formulation and finite element implementation of beam elements, University of Maryland, Maryland, https://www.nrel.gov/docs/fy06osti/38230.pdf (last access: August 2022), 2009. a
Beardsell, A., Collier, W., and Han, T.: Effect of linear and non-linear blade modelling techniques on simulated fatigue and extreme loads using Bladed, J. Phys.: Conf. Ser., 753, 042002, https://doi.org/10.1088/1742-6596/753/4/042002, 2016. a
Bisplinghoff, R. L., Ashley, H., and Halfman, R. L.: Aeroelasticity, Courier Corporation, ISBN 13:978-0486691893 ISBN 10:0486691896, 2013. a
Branlard, E. and Geisler, J.: A symbolic framework to obtain mid-fidelity models of flexible multibody systems with application to horizontal-axis wind turbines, Wind Energ. Sci., 7, 2351–2371, https://doi.org/10.5194/wes-7-2351-2022, 2022. a, b
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Short summary
This study proposes a fast correction method for modal-based reduced-order models to account for geometric nonlinearities linked to large bending deflections in cantilever beam-like engineering structures. The large deflections cause secondary motions such as axial and torsional motions when the structures go through bending deflections. The method relies on pre-computed correction terms and thus adds negligibly small extra computational cost to the time domain analyses of the dynamic response.
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