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Towards realistic nonlinear elastic bending behavior for cable simulation

Zhao, Tian ; Schneider‐Jung, Fabio ; Linn, Joachim ; Müller, Ralf (2024)
Towards realistic nonlinear elastic bending behavior for cable simulation.
In: PAMM - Proceedings in Applied Mathematics and Mechanics, 2023, 23 (4)
doi: 10.26083/tuprints-00027194
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Towards realistic nonlinear elastic bending behavior for cable simulation
Language: English
Date: 28 May 2024
Place of Publication: Darmstadt
Year of primary publication: December 2023
Place of primary publication: Weinheim
Publisher: Wiley-VCH
Journal or Publication Title: PAMM - Proceedings in Applied Mathematics and Mechanics
Volume of the journal: 23
Issue Number: 4
Collation: 9 Seiten
DOI: 10.26083/tuprints-00027194
Corresponding Links:
Origin: Secondary publication DeepGreen
Abstract:

This contribution aims to characterize and model the nonlinear elastic behavior of cables for reliable simulations. To simulate the nonlinear elastic behavior of cables, we use an iterative method, where at each step, an algorithmic local bending stiffness constant is used and updated according to the current cable state. We also formulate an inverse problem to determine the properties of real cables. By solving the inverse problem, the nonlinear elastic behavior for given measurement data is identified, yielding a curvature‐dependent bending stiffness characteristic. In addition, we propose an alternative method based on the balance equations for rods in static equilibrium to identify the bending stiffness characteristic. We apply both methods to experimental data, and the results are compared and discussed.

Identification Number: Artikel-ID: e202300255
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-271945
Additional Information:

Special Issue: 93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)

Classification DDC: 500 Science and mathematics > 510 Mathematics
600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 13 Department of Civil and Environmental Engineering Sciences > Mechanics > Continuum Mechanics
Date Deposited: 28 May 2024 12:12
Last Modified: 05 Jun 2024 09:43
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/27194
PPN: 518706435
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