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Interface Reduction on Hurty/Craig-Bampton Substructures with Frictionless Contact Read chapter Read first chapter

2019 | OriginalPaper | Chapter

31. Reduced Order Modelling for Non-linear Rotating Systems in ALE Formulation with Contact

Authors : Tim Weidauer, Kai Willner

Published in: Nonlinear Dynamics, Volume 1

Publisher: Springer International Publishing

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Abstract

One approach for the simulation of rotating systems is the Arbitrary-Lagrangian-Eulerian (ALE) finite element formulation, which is well-established in the field of rolling contact mechanics for tires. With this formulation the rotational motion is handled from an Eulerian viewpoint and thus can be separated from the occurring Lagrangian deformation of the finite element mesh. In this context of (non-linear) systems undergoing gyroscopic and/or contact forces, e.g., for tires or disc brakes, model reduction techniques such as the Second order modal truncation, the Krylov subspace technique and the Craig-Bampton method are employed and analysed in their applicability.

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Footnotes
1
This stands in agreement with the fact that the spectrum of eigenvalues and thus the eigenvectors for quadratic eigenvalues problems are (at least) symmetric about the real axis.
 
2
Inner/outer diameter di = 50 mm and da = 300 mm, thickness t = 10 mm, Young’s modulus E = 2.1 ⋅ 105 MPa, Poisson ratio ν = 0.3.
 
3
α = 0, β = 1 ⋅ 10−6.
 
4
Alternatively bi-modal decoupling, using the left and right eigenvectors and their transposed forms, or working in complex coordinates for decoupling is possible, [1] and [16].
 
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Metadata
Title
Reduced Order Modelling for Non-linear Rotating Systems in ALE Formulation with Contact
Authors
Tim Weidauer
Kai Willner
Copyright Year
2019
Book
Nonlinear Dynamics, Volume 1

Print ISBN: 978-3-319-74279-3

Electronic ISBN: 978-3-319-74280-9

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-74280-9_31

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