Weeger, Oliver ; Yeung, Sai-Kit ; Dunn, Martin L. (2022)
Fully isogeometric modeling and analysis of nonlinear 3D beams with spatially varying geometric and material parameters.
In: Computer Methods in Applied Mechanics and Engineering, 2018, 342
doi: 10.26083/tuprints-00019863
Artikel, Zweitveröffentlichung, Postprint
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Kurzbeschreibung (Abstract)
We present a fully isogeometric modeling and simulation method for geometrically exact, nonlinear 3D beams with spatially varying geometric and material distributions, both along the beam axis and through its cross-section. The approach is based on the modeling of 3D beams using the Cosserat rod theory and the numerical discretization using B-Spline and NURBS parameterizations in an isogeometric collocation method. Transversally varying material constitutions are represented using non-homogeneous, functionally graded beam cross-section definitions such as laminates and continuously graded cross-sections. Furthermore, to model the axial variation of material and geometry, we introduce the parameterization of cross-section properties as spline curves along the beam centerlines. This fully isogeometric modeling and analysis concept, which is based on spline parameterizations of initial beam centerline curves, kinematic unknowns and axially varying material and geometric parameters, has various practical applications enabled by advances in manufacturing technology, including multi-material 3D printing and advanced manufacturing of composites with automated fiber placement. We verify and demonstrate the modeling and simulation approach using several numerical studies and highlight its practical applicability.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2022 |
| Autor(en): | Weeger, Oliver ; Yeung, Sai-Kit ; Dunn, Martin L. |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Fully isogeometric modeling and analysis of nonlinear 3D beams with spatially varying geometric and material parameters |
| Sprache: | Englisch |
| Publikationsjahr: | 2022 |
| Publikationsdatum der Erstveröffentlichung: | 2018 |
| Verlag: | Elsevier |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Computer Methods in Applied Mechanics and Engineering |
| Jahrgang/Volume einer Zeitschrift: | 342 |
| Kollation: | 23 Seiten |
| DOI: | 10.26083/tuprints-00019863 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/19863 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichungsservice |
| Kurzbeschreibung (Abstract): | We present a fully isogeometric modeling and simulation method for geometrically exact, nonlinear 3D beams with spatially varying geometric and material distributions, both along the beam axis and through its cross-section. The approach is based on the modeling of 3D beams using the Cosserat rod theory and the numerical discretization using B-Spline and NURBS parameterizations in an isogeometric collocation method. Transversally varying material constitutions are represented using non-homogeneous, functionally graded beam cross-section definitions such as laminates and continuously graded cross-sections. Furthermore, to model the axial variation of material and geometry, we introduce the parameterization of cross-section properties as spline curves along the beam centerlines. This fully isogeometric modeling and analysis concept, which is based on spline parameterizations of initial beam centerline curves, kinematic unknowns and axially varying material and geometric parameters, has various practical applications enabled by advances in manufacturing technology, including multi-material 3D printing and advanced manufacturing of composites with automated fiber placement. We verify and demonstrate the modeling and simulation approach using several numerical studies and highlight its practical applicability. |
| Status: | Postprint |
| URN: | urn:nbn:de:tuda-tuprints-198631 |
| Zusätzliche Informationen: | Keywords: Isogeometric analysis, 3D beams, Spatially varying materials, Functionally graded beams, Collocation method |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 600 Technik, Medizin, angewandte Wissenschaften > 600 Technik 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet Cyber-Physische Simulation (CPS) |
| Hinterlegungsdatum: | 05 Jan 2022 14:02 |
| Letzte Änderung: | 06 Jan 2022 06:02 |
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| Suche nach Titel in: | TUfind oder in Google |
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- Fully isogeometric modeling and analysis of nonlinear 3D beams with spatially varying geometric and material parameters. (deposited 05 Jan 2022 14:02) [Gegenwärtig angezeigt]
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