On a hybrid approximation concept for self-excited periodic oscillations of large-scale dynamical systems
| dc.date.accessioned | 2022-02-15T17:11:42Z | |
| dc.date.available | 2022-02-15T17:11:42Z | |
| dc.date.issued | 2021-12-14 | |
| dc.identifier | doi:10.17170/kobra-202112165264 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/13623 | |
| dc.description.sponsorship | Gefördert im Rahmen des Projekts DEAL | ger |
| dc.language.iso | eng | eng |
| dc.rights | Namensnennung 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject.ddc | 620 | |
| dc.title | On a hybrid approximation concept for self-excited periodic oscillations of large-scale dynamical systems | eng |
| dc.type | Aufsatz | |
| dcterms.abstract | When approximating periodic solutions in the context of large-scale dynamical systems involving strong local nonlinearities, efficiency is of special interest. Hence, the literature suggests a combination of two approximation methods for increasing the ratio of computational cost to accuracy. Within this contribution, a combination of Finite Difference and Harmonic Balance method is proposed. Due to the usage of Harmonic Balance it is shown, that the resulting equations only depend on the degrees of freedom that are affected by nonlinear forces. As an application, a self-excited limit cycle of a chain of oscillators is approximated and results are compared against numerical time integration to highlight qualitative accuracy. | eng |
| dcterms.accessRights | open access | |
| dcterms.creator | Kappauf, Jonas | |
| dcterms.creator | Hetzler, Hartmut | |
| dc.relation.doi | doi:10.1002/pamm.202100143 | |
| dc.subject.swd | Periodische Bewegung | ger |
| dc.subject.swd | Nichtlineares dynamisches System | ger |
| dc.subject.swd | Näherungsverfahren | ger |
| dc.subject.swd | Finite-Differenzen-Methode | ger |
| dc.subject.swd | Harmonische Balance | ger |
| dc.type.version | publishedVersion | |
| dcterms.source.identifier | eissn:1617-7061 | |
| dcterms.source.issue | Issue 1 | |
| dcterms.source.journal | Proceedings in applied mathematics and mechanics (PAMM) | eng |
| dcterms.source.volume | Volume 21 | |
| kup.iskup | false | |
| dcterms.source.articlenumber | e202100143 |
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