Weeger, Oliver ; Narayanan, Bharath ; Dunn, Martin L. (2022)
Isogeometric collocation for nonlinear dynamic analysis of Cosserat rods with frictional contact.
In: Nonlinear Dynamics, 91 (2)
doi: 10.26083/tuprints-00019838
Artikel, Zweitveröffentlichung, Postprint
Kurzbeschreibung (Abstract)
We present a novel isogeometric collocation method for nonlinear dynamic analysis of three-dimensional, slender, elastic rods. The approach is based on the geometrically exact Cosserat model for rod dynamics. We formulate the governing nonlinear partial differential equations as a first-order problem in time and develop an isogeometric semi-discretization of position, orientation, velocity and angular velocity of the rod centerline as NURBS curves. Collocation then leads to a nonlinear system of first-order ordinary differential equations, which can be solved using standard time integration methods. Furthermore, our model includes viscoelastic damping and a frictional contact formulation. The computational method is validated and its practical applicability shown using several numerical applications of nonlinear rod dynamics.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2022 |
| Autor(en): | Weeger, Oliver ; Narayanan, Bharath ; Dunn, Martin L. |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Isogeometric collocation for nonlinear dynamic analysis of Cosserat rods with frictional contact |
| Sprache: | Englisch |
| Publikationsjahr: | 2022 |
| Verlag: | Springer |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Nonlinear Dynamics |
| Jahrgang/Volume einer Zeitschrift: | 91 |
| (Heft-)Nummer: | 2 |
| Kollation: | 14 Seiten |
| DOI: | 10.26083/tuprints-00019838 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/19838 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichungsservice |
| Kurzbeschreibung (Abstract): | We present a novel isogeometric collocation method for nonlinear dynamic analysis of three-dimensional, slender, elastic rods. The approach is based on the geometrically exact Cosserat model for rod dynamics. We formulate the governing nonlinear partial differential equations as a first-order problem in time and develop an isogeometric semi-discretization of position, orientation, velocity and angular velocity of the rod centerline as NURBS curves. Collocation then leads to a nonlinear system of first-order ordinary differential equations, which can be solved using standard time integration methods. Furthermore, our model includes viscoelastic damping and a frictional contact formulation. The computational method is validated and its practical applicability shown using several numerical applications of nonlinear rod dynamics. |
| Status: | Postprint |
| URN: | urn:nbn:de:tuda-tuprints-198385 |
| Zusätzliche Informationen: | Keywords: Isogeometric analysis, Collocation method, Cosserat rod model, Nonlinear dynamics, Frictional contact |
| 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: | 07 Jan 2022 13:55 |
| Letzte Änderung: | 10 Jan 2022 06:36 |
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