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Isogeometric analysis of nonlinear Euler-Bernoulli beam vibrations

Weeger, Oliver ; Wever, Utz ; Simeon, Bernd (2022)
Isogeometric analysis of nonlinear Euler-Bernoulli beam vibrations.
In: Nonlinear Dynamics, 2013, 72 (4)
doi: 10.26083/tuprints-00019802
Article, Secondary publication, Postprint

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Item Type: Article
Type of entry: Secondary publication
Title: Isogeometric analysis of nonlinear Euler-Bernoulli beam vibrations
Language: English
Date: 2022
Place of Publication: Darmstadt
Year of primary publication: 2013
Publisher: Springer
Journal or Publication Title: Nonlinear Dynamics
Volume of the journal: 72
Issue Number: 4
Collation: 17 Seiten
DOI: 10.26083/tuprints-00019802
Corresponding Links:
Origin: Secondary publication service

In this paper we analyze the vibrations of nonlinear structures by means of the novel approach of isogeometric finite elements. The fundamental idea of isogeometricfinite elements is to apply the same functions, namely B-Splines and NURBS (Non-Uniform Rational B-Splines), fordescribing the geometry and for representing the numericalsolution. In case of linear vibrational analysis, this approachhas already been shown to possess substantial advantages over classical finite elements, and we extend it here to a non-linear framework based on the harmonic balance principle. As application, the straight nonlinear Euler-Bernoulli beamis used, and overall, it is demonstrated that isogeometric finite elements with B-Splines in combination with the harmonic balance method are a powerful means for the analysisof nonlinear structural vibrations. In particular, the smoother k-method provides higher accuracy than the p-method forisogeometric nonlinear vibration analysis.

Status: Postprint
URN: urn:nbn:de:tuda-tuprints-198020
Additional Information:

Keywords: Isogeometric analysis, finite element method, nonlinear vibration, harmonic balance, nonlinear beam

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: 06 Jan 2022 13:02
Last Modified: 16 Mar 2023 14:07
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19802
PPN: 505986639
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