A short remark on the nonlinear oscillator with a damping term
A nonlinear oscillator with a damping term can model many nonlinear vibration problems. This short remark insights into its physical understanding by the variational principle, which is established by the semi-inverse method. The dissipative energy involved in the variational formulation can be expl...
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2021-06-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/1461348420917244 |
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doaj-f15ed5bea4e348d59df4c94361a034ea2021-06-23T22:34:00ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462021-06-014010.1177/1461348420917244A short remark on the nonlinear oscillator with a damping termShaowen YaoZhibo ChengA nonlinear oscillator with a damping term can model many nonlinear vibration problems. This short remark insights into its physical understanding by the variational principle, which is established by the semi-inverse method. The dissipative energy involved in the variational formulation can be explained by the two-scale thermodynamics. Taylor series method is used to solve its frequency-amplitude relation.https://doi.org/10.1177/1461348420917244 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Shaowen Yao Zhibo Cheng |
| spellingShingle |
Shaowen Yao Zhibo Cheng A short remark on the nonlinear oscillator with a damping term Journal of Low Frequency Noise, Vibration and Active Control |
| author_facet |
Shaowen Yao Zhibo Cheng |
| author_sort |
Shaowen Yao |
| title |
A short remark on the nonlinear oscillator with a damping term |
| title_short |
A short remark on the nonlinear oscillator with a damping term |
| title_full |
A short remark on the nonlinear oscillator with a damping term |
| title_fullStr |
A short remark on the nonlinear oscillator with a damping term |
| title_full_unstemmed |
A short remark on the nonlinear oscillator with a damping term |
| title_sort |
short remark on the nonlinear oscillator with a damping term |
| publisher |
SAGE Publishing |
| series |
Journal of Low Frequency Noise, Vibration and Active Control |
| issn |
1461-3484 2048-4046 |
| publishDate |
2021-06-01 |
| description |
A nonlinear oscillator with a damping term can model many nonlinear vibration problems. This short remark insights into its physical understanding by the variational principle, which is established by the semi-inverse method. The dissipative energy involved in the variational formulation can be explained by the two-scale thermodynamics. Taylor series method is used to solve its frequency-amplitude relation. |
| url |
https://doi.org/10.1177/1461348420917244 |
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