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

Gözcü, Ozan; Barlas, Emre; Dou, Suguang

doi:https://doi.org/10.5194/wes-8-109-2023

Articles | Volume 8, issue 1

https://doi.org/10.5194/wes-8-109-2023

© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/wes-8-109-2023

© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 8, issue 1

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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Final revised paper (published on 16 Jan 2023)
Preprint (discussion started on 18 Jul 2022)

Interactive discussion

Status: closed

RC1: 'Comment on wes-2022-58', William Collier, 26 Sep 2022

A good and clearly presented paper. An interesting propect to enhance modal based codes.

The only dynamic cases shown use MD and EM corrections based on the mean deflection in the dynamic simulation (e.g. the IEA 15MW deflected by aerodynamic forces corresponding to 11m/s wind). It would be important to check how well the method works for a case where the flapwise deflection can change from positive to negative e.g. in a turbine shutdown event. Correction terms based on only one modal amplitude might not work so well then. However, these limitations are alluded to by the author around line 310.

Suggested minor changes / clarifications:

Figure 7 – not all of the lines on the plot are visible

Table 3 – why no % error presented for Z deflection?

Citation: https://doi.org/10.5194/wes-2022-58-RC1
RC2: 'Comment on wes-2022-58', Emmanuel Branlard, 07 Nov 2022

Thank you for your work, I'm enclosing my comments in a separate pdf.

Citation: https://doi.org/10.5194/wes-2022-58-RC2
AC1: 'Comment on wes-2022-58', Ozan Gozcu, 12 Dec 2022

Please see the attached pdf for replies to RCs.

Citation: https://doi.org/10.5194/wes-2022-58-AC1

Peer review completion

AR: Author's response | RR: Referee report | ED: Editor decision | EF: Editorial file upload

AR by Ozan Gozcu on behalf of the Authors (12 Dec 2022) Author's response Author's tracked changes Manuscript

ED: Publish as is (13 Dec 2022) by Mingming Zhang

ED: Publish as is (14 Dec 2022) by Paul Fleming (Chief editor)

AR by Ozan Gozcu on behalf of the Authors (30 Dec 2022) Manuscript

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.