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14.08.2024 | Original Article

Extraction of surface quad layouts from quad layout immersions: application to an isogeometric model of car crash

verfasst von: Kendrick M. Shepherd, René R. Hiemstra, Xianfeng David Gu, Thomas J. R. Hughes

Erschienen in: Engineering with Computers | Ausgabe 6/2024

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Abstract

Extraction of quadrilateral layouts of surfaces is essential for surface rebuilding using splines, semi-structured bilinear quadrilateral mesh extraction, and texture mapping. Layout generation using integer grid based techniques on triangulated meshes have received particular attention for generation of well-structured layouts. In this work, we reiterate a generalization of integer grid parameterizations in which only topological constraints between singularities are necessary to ensure a valid quadrilateral parameterization (and specifically, the integral curves emanating from singularities are of finite length). This generalized representation is motivated by carefully discussing pros and cons of both integer grid and topologically constrained parameterization methods. A computational framework for extracting a quadrilateral layout from a valid input immersion is then presented, which will work for any parameterization that induces a valid quadrilateral layout. Results demonstrate the validity and the potential of the proposed computational framework on a variety of geometries. The proposed extraction framework is ultimately used to reconstruct the body-in-white of a 1996 Dodge Neon as a set of analysis-suitable bicubic B-splines, which are then used in the first known body-in-white crash analysis using boundary-conforming splines, demonstrating that the reconstruction method is viable for industrial use.

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Fußnoten
1
In the case that \(S\) is an annulus with no singularities or a torus with no singularities, the same holds after artificially calling an arbitrary regular point the surface’s (only) singularity and proceeding as before.
 
2
A more general definition could also characterize opposite ports at singular locations on boundaries, but is not needed for the purpose of this paper.
 
3
The first fully isogeometric body-in-white analysis on a vehicle was performed in 2019 by Honda, and used trimmed splines. This work represents the second known body-in-white fully isogeometric crash analysis, and the first full-vehicle crash analysis using an isogeometric chassis. A related computation employing only a single isogeometric part was performed in the authors’ previous work [29]. In contrast, this work operates on an entirely spline-based body-in-white, composed of 170 coupled parts.
 
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Metadaten
Titel
Extraction of surface quad layouts from quad layout immersions: application to an isogeometric model of car crash
verfasst von
Kendrick M. Shepherd
René R. Hiemstra
Xianfeng David Gu
Thomas J. R. Hughes
Publikationsdatum
14.08.2024
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 6/2024
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-024-02007-w