Weeger, Oliver ; Yeung, Sai-Kit ; Dunn, Martin L. (2022)
Isogeometric collocation methods for Cosserat rods and rod structures.
In: Computer Methods in Applied Mechanics and Engineering, 2016, 316
doi: 10.26083/tuprints-00019821
Artikel, Zweitveröffentlichung, Postprint
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Kurzbeschreibung (Abstract)
We present a novel method for the mechanical simulation of slender, elastic, spatial rods and rod structures subject to large deformation and rotation. We develop an isogeometric collocation method for the geomet-rically exact, nonlinear Cosserat rod theory. The rod centerlines are represented as spatial NURBS curvesand cross-section orientations are parameterized in terms of unit quaternions as 4-dimensional NURBS curves. Within the isogeometric framework, the strong forms of the equilibrium equations of forces and moments of the discretized Cosserat model are collocated, leading to an efficient method for higher-order discretizations. For rod structures consisting of multiple, connected rods we introduce a formulation withrigid, quasi-G1-coupling. It is based on the strong enforcement of continuity of displacement and change of cross-section orientation at interfaces. We also develop a mixed isogeometric formulation, which is basedon an independent discretization of internal forces and moments and alleviates shear locking for thin rods. The novel rod simulation methods are verified by numerical convergence studies. Further computational examples include realistic applications with large deformations and rotations, as well as a large-scale rodstructure with several hundreds of coupled rods and complex buckling behavior.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2022 |
| Autor(en): | Weeger, Oliver ; Yeung, Sai-Kit ; Dunn, Martin L. |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Isogeometric collocation methods for Cosserat rods and rod structures |
| Sprache: | Englisch |
| Publikationsjahr: | 2022 |
| Publikationsdatum der Erstveröffentlichung: | 2016 |
| Verlag: | Elsevier |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Computer Methods in Applied Mechanics and Engineering |
| Jahrgang/Volume einer Zeitschrift: | 316 |
| Kollation: | 24 Seiten |
| DOI: | 10.26083/tuprints-00019821 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/19821 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichungsservice |
| Kurzbeschreibung (Abstract): | We present a novel method for the mechanical simulation of slender, elastic, spatial rods and rod structures subject to large deformation and rotation. We develop an isogeometric collocation method for the geomet-rically exact, nonlinear Cosserat rod theory. The rod centerlines are represented as spatial NURBS curvesand cross-section orientations are parameterized in terms of unit quaternions as 4-dimensional NURBS curves. Within the isogeometric framework, the strong forms of the equilibrium equations of forces and moments of the discretized Cosserat model are collocated, leading to an efficient method for higher-order discretizations. For rod structures consisting of multiple, connected rods we introduce a formulation withrigid, quasi-G1-coupling. It is based on the strong enforcement of continuity of displacement and change of cross-section orientation at interfaces. We also develop a mixed isogeometric formulation, which is basedon an independent discretization of internal forces and moments and alleviates shear locking for thin rods. The novel rod simulation methods are verified by numerical convergence studies. Further computational examples include realistic applications with large deformations and rotations, as well as a large-scale rodstructure with several hundreds of coupled rods and complex buckling behavior. |
| Status: | Postprint |
| URN: | urn:nbn:de:tuda-tuprints-198217 |
| Zusätzliche Informationen: | Isogeometric analysis, Collocation method, NURBS basis functions, Cosserat rod model, Rod structures, Locking-free methods |
| 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: | 04 Jan 2022 14:06 |
| Letzte Änderung: | 05 Jan 2022 07:56 |
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| Suche nach Titel in: | TUfind oder in Google |
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- Isogeometric collocation methods for Cosserat rods and rod structures. (deposited 04 Jan 2022 14:06) [Gegenwärtig angezeigt]
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