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  4. Towards realistic nonlinear elastic bending behavior for cable simulation
 
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2023
Journal Article
Title

Towards realistic nonlinear elastic bending behavior for cable simulation

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.
Author(s)
Zhao, Tian
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Schneider-Jung, Fabio Julian
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Linn, Joachim  
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Müller, Ralf
Department of Civil and Environmental Engineering, Technical University of Darmstadt
Journal
Proceedings in applied mathematics and mechanics. PAMM  
Open Access
DOI
10.1002/pamm.202300255
Language
English
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Keyword(s)
  • realistic nonlinear elastic bending

  • cable simulation

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