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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.
In: Nonlinear Dynamics, 2017, 91 (2)
doi: 10.26083/tuprints-00019838
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Item Type: Article
Type of entry: Secondary publication
Title: Isogeometric collocation for nonlinear dynamic analysis of Cosserat rods with frictional contact
Language: English
Date: 2022
Place of Publication: Darmstadt
Year of primary publication: 2017
Publisher: Springer
Journal or Publication Title: Nonlinear Dynamics
Volume of the journal: 91
Issue Number: 2
Collation: 14 Seiten
DOI: 10.26083/tuprints-00019838
Corresponding Links:
Origin: Secondary publication service
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
Additional Information:

Keywords: Isogeometric analysis, Collocation method, Cosserat rod model, Nonlinear dynamics, Frictional contact

Classification DDC: 600 Technology, medicine, applied sciences > 600 Technology
600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 16 Department of Mechanical Engineering > Cyber-Physical Simulation (CPS)
Date Deposited: 07 Jan 2022 13:55
Last Modified: 17 Mar 2023 09:02
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19838
PPN: 506087654
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