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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. (Postprint)
In: Computational Mechanics, 54 (6), Springer, ISSN 0178-7675, e-ISSN 1432-0924,
DOI: 10.26083/tuprints-00019813,

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Item Type: Article
Origin: Secondary publication service
Status: Postprint
Title: Nonlinear frequency response analysis of structural vibrations
Language: English

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.

Journal or Publication Title: Computational Mechanics
Volume of the journal: 54
Issue Number: 6
Place of Publication: Darmstadt
Publisher: Springer
Collation: 19 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 13:06
Last Modified: 16 Mar 2023 14:08
DOI: 10.26083/tuprints-00019813
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-198133
Additional Information:

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

URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19813
PPN: 505987279
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