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Nonlinear frequency response analysis of structural vibrations

Weeger, Oliver ; Wever, Utz ; Simeon, Bernd (2022)
Nonlinear frequency response analysis of structural vibrations.
In: Computational Mechanics, 54 (6)
doi: 10.26083/tuprints-00019813
Article, Secondary publication, Postprint

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Item Type: Article
Type of entry: Secondary publication
Title: Nonlinear frequency response analysis of structural vibrations
Language: English
Date: 2022
Place of Publication: Darmstadt
Publisher: Springer
Journal or Publication Title: Computational Mechanics
Volume of the journal: 54
Issue Number: 6
Collation: 19 Seiten
DOI: 10.26083/tuprints-00019813
Corresponding Links:
Origin: Secondary publication service

In this paper we present a method for nonlinear frequency response analysis of mechanical vibrations of 3-dimensional solid structures. For computing nonlinear frequency response to periodic excitations, we employ the well-established harmonic balance method. A fundamental aspect for allowing a large-scale application of the method is model order reduction of the discretized equation of motion. Therefore we propose the utilization of a modal projection method enhanced with modal derivatives, providing second-order information. For an efficient spatial discretization of continuum mechanics nonlinear partial differential equations, including large deformations and hyperelastic material laws, we employ the concept of isogeometric analysis. Isogeometric finite element methods have already been shown to possess advantages over classical finite element discretizations in terms of higher accuracy of numerical approximations in the fields of linear vibration and static large deformation analysis. With several computational examples, we demonstrate the applicability and accuracy of the modal derivative reduction method for nonlinear static computations and vibration analysis. Thus, the presented method opens a promising perspective on application of nonlinear frequency analysis to large-scale industrial problems.

Status: Postprint
URN: urn:nbn:de:tuda-tuprints-198133
Additional Information:

Keywords: Nonlinear vibration, model reduction, modal derivatives, harmonic balance, isogeometric analysis

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 13:06
Last Modified: 16 Mar 2023 14:08
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19813
PPN: 505987279
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