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Isogeometric collocation for nonlinear dynamic analysis of Cosserat rods with frictional contact

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
Publisher: Springer
Collation: 14 Seiten
Classification DDC: 600 Technik, Medizin, angewandte Wissenschaften > 600 Technik
600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften
Divisions: 16 Department of Mechanical Engineering > Cyber-Physical Simulation (CPS)
Date Deposited: 07 Jan 2022 13:55
Last Modified: 07 Jan 2022 13:55
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
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