Weeger, Oliver ; Narayanan, Bharath ; Dunn, Martin L. (2022):
Isogeometric collocation for nonlinear dynamic analysis of Cosserat rods with frictional contact. (Postprint)
In: Nonlinear Dynamics, 91 (2), Springer, ISSN 0924-090X, e-ISSN 1573-269X,
DOI: 10.26083/tuprints-00019838,
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| Item Type: | Article |
|---|---|
| Origin: | Secondary publication service |
| Status: | Postprint |
| Title: | Isogeometric collocation for nonlinear dynamic analysis of Cosserat rods with frictional contact |
| Language: | English |
| 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. |
| Journal or Publication Title: | Nonlinear Dynamics |
| Volume of the journal: | 91 |
| Issue Number: | 2 |
| Place of Publication: | Darmstadt |
| Publisher: | Springer |
| Collation: | 14 Seiten |
| Classification DDC: | 600 Technik, Medizin, angewandte Wissenschaften > 600 Technik 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
| Divisions: | 16 Department of Mechanical Engineering > Cyber-Physical Simulation (CPS) |
| Date Deposited: | 07 Jan 2022 13:55 |
| Last Modified: | 17 Mar 2023 09:02 |
| DOI: | 10.26083/tuprints-00019838 |
| Corresponding Links: | |
| URN: | urn:nbn:de:tuda-tuprints-198385 |
| Additional Information: | Keywords: Isogeometric analysis, Collocation method, Cosserat rod model, Nonlinear dynamics, Frictional contact |
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/19838 |
| PPN: | 506087654 |
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