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Investigation of Tympanic Membrane Influences on Middle-Ear Impedance Measurements and Simulations Read chapter Read first chapter

2020 | OriginalPaper | Chapter

Robust and Fast Simulation of Flexible Flat Cables

Authors : Michael Roller, Christoffer Cromvik, Joachim Linn

Published in: Multibody Dynamics 2019

Publisher: Springer International Publishing

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Abstract

In this work we will present a novel approach to compute the potential energy and its derivatives of a shell discretized by finite elements. Afterwards a special solution strategy for quasistatic equilibrium problems with moving boundary conditions is presented. At the end numerical examples are shown, which demonstrate the benefits of this methods in simulating flexible flat cables.

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previous chapter Importance of Warping in Beams with Narrow Rectangular Cross-Sections: An Analytical, Numerical and Experimental Flexible Cross-Hinge Case Study
next chapter Dynamic Analysis of Compliant Mechanisms Using Absolute Nodal Coordinate Formulation and Geometrically Exact Beam Theory
Footnotes
1
This fact is hidden in the notation. Because as mentioned above the tensors \(M^{\alpha \beta \iota \pi }\), \(B^{\alpha \beta \iota \pi }\) and \(S^{\alpha \beta }\) depend on \(\tilde{q}^d\) as well as the midsurface measure \( \mathrm {d}\bar{\eta }\).
 
Literature
1.
Dreßler, K., Linn, J.: Discrete cosserat rod models based on the difference geometry of framed curves for interactive simulation of flexible cables. European Consortium for Mathematics in Industry, -ECMI-: Math for the Digital Factory, pp. 289–319 (2017)
2.
Simo, J., Fox, D.: On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization. Comput. Methods Appl. Mech. Eng. 72.3, 267–304 (1989)CrossRef
3.
Ibrahimbegovic, A.: Stress resultant geometrically nonlinear shell theory with drilling rotations-Part I. A consistent formulation. Comput. Methods Appl. Mech. Eng. 118, 265–284 (1994)CrossRef
4.
Roller, M., Betsch, P., Gallrein, A., Linn, J.: An enhanced tire model for dynamic simulation based on geometrically exact shells. Arch. Mech. Eng. 2, 277–295 (2016)CrossRef
5.
Jareteg, C., Wärmefjord, K., Söderberg, R., Lindkvist, L., Carlson, J., Cromvik, C., Edelvik, F.: Variation simulation for composite parts and assemblies including variation in fiber orientation and thickness. Procedia CIRP 23, 235–240 (2014)CrossRef
6.
Betsch, P., Sänger, N.: On the use of geometrically exact shells in a conserving framework for flexible multibody dynamics. Comput. Methods Appl. Mech. Eng. 198(17), 1609–1630 (2009)MathSciNetCrossRef
7.
Metadata
Title
Robust and Fast Simulation of Flexible Flat Cables
Authors
Michael Roller
Christoffer Cromvik
Joachim Linn
Copyright Year
2020
Book
Multibody Dynamics 2019

Print ISBN: 978-3-030-23131-6

Electronic ISBN: 978-3-030-23132-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-23132-3_25

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