TU Darmstadt / ULB / TUprints

Isogeometric analysis of nonlinear Euler-Bernoulli beam vibrations

Weeger, Oliver ; Wever, Utz ; Simeon, Bernd (2022):
Isogeometric analysis of nonlinear Euler-Bernoulli beam vibrations. (Postprint)
In: Nonlinear Dynamics, 72 (4), Springer, ISSN 0924-090X, e-ISSN 1573-269X,
DOI: 10.26083/tuprints-00019802,
[Article]

[img]
Preview
Text
2013a_WWS_IgaNLEBvib.pdf
Available under: only the rights of use according to UrhG.

Download (390kB) | Preview
Item Type: Article
Origin: Secondary publication service
Status: Postprint
Title: Isogeometric analysis of nonlinear Euler-Bernoulli beam vibrations
Language: English
Abstract:

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.

Journal or Publication Title: Nonlinear Dynamics
Volume of the journal: 72
Issue Number: 4
Publisher: Springer
Collation: 17 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: 06 Jan 2022 13:02
Last Modified: 06 Jan 2022 13:02
DOI: 10.26083/tuprints-00019802
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-198020
Additional Information:

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

URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19802
PPN:
Export:
Actions (login required)
View Item View Item