Preprints
https://doi.org/10.5194/wes-2022-58
https://doi.org/10.5194/wes-2022-58
 
18 Jul 2022
18 Jul 2022
Status: this preprint is currently under review for the journal WES.

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

Ozan Gözcü1, Emre Barlas2, and Suguang Dou1 Ozan Gözcü et al.
  • 1DTU Wind Energy, Technical University of Denmark (DTU), Frederiksborgvej 399, 4000 Roskilde, Denmark
  • 2Ørsted, Nesa Allè 1, 2820 Gentofte

Abstract. Modal based reduced order models are preferred for modelling structures in engineering problems due to their computational efficiency. One of the important limitations of the classic modal based models is that they are linear and thus can not fully account for the nonlinearities in structures. This study proposes a fast correction method to account for geometric nonlinearities linked to large 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. The accuracy of the method is examined on a straight beam benchmark model and an engineering wind blade model for the IEA 15 MW wind turbine. The results show that the proposed method increases the accuracy of modal approach significantly in estimating the secondary motions in comparison to the conventional modal based linear models.

Ozan Gözcü et al.

Status: open (until 10 Sep 2022)

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Ozan Gözcü et al.

Ozan Gözcü et al.

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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 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.