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2021-01-25Subject
620 Engineering 530 Physics SchwingungHarmonische BalanceFinite-Differenzen-MethodeMechanische EigenschaftMetadata
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Aufsatz
On A Hybrid Concept for Approximating Self‐Excited Periodic Oscillations of Large‐Scaled Dynamical Systems
Abstract
Concerning the approximation of self‐excited periodic oscillations in large‐scaled mechanical systems involving strong nonlinearities, this contribution suggests a concept for an efficient treatment. The presented Hybrid FD‐HB method takes the advantages of both schemes Harmonic Balance and Finite Difference to enhance the ratio of computational cost and accuracy for mechanical systems with many degrees of freedom. Within this contribution the residual equations, required when applying a NEWTON‐RAPHSON‐scheme, are derived and the method is applied to a stiff nonlinear mechanical system.
Citation
In: Proceedings in applied mathematics and mechanics (PAMM) Volume 20 / Issue 1 (2021-01-25) EISSN 1617-7061Sponsorship
Gefördert im Rahmen des Projekts DEALCitation
@article{doi:10.17170/kobra-202101283076,
author={Kappauf, Jonas and Hetzler, Hartmut},
title={On A Hybrid Concept for Approximating Self‐Excited Periodic Oscillations of Large‐Scaled Dynamical Systems},
journal={Proceedings in applied mathematics and mechanics (PAMM)},
year={2021}
}
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2021-02-10T13:13:54Z 2021-02-10T13:13:54Z 2021-01-25 doi:10.17170/kobra-202101283076 http://hdl.handle.net/123456789/12488 Gefördert im Rahmen des Projekts DEAL eng Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ 620 530 On A Hybrid Concept for Approximating Self‐Excited Periodic Oscillations of Large‐Scaled Dynamical Systems Aufsatz Concerning the approximation of self‐excited periodic oscillations in large‐scaled mechanical systems involving strong nonlinearities, this contribution suggests a concept for an efficient treatment. The presented Hybrid FD‐HB method takes the advantages of both schemes Harmonic Balance and Finite Difference to enhance the ratio of computational cost and accuracy for mechanical systems with many degrees of freedom. Within this contribution the residual equations, required when applying a NEWTON‐RAPHSON‐scheme, are derived and the method is applied to a stiff nonlinear mechanical system. open access Kappauf, Jonas Hetzler, Hartmut doi:10.1002/pamm.202000329 Schwingung Harmonische Balance Finite-Differenzen-Methode Mechanische Eigenschaft publishedVersion EISSN 1617-7061 Issue 1 Proceedings in applied mathematics and mechanics (PAMM) Volume 20 false e202000329
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