Symmetry-breaking and pull-down motion for the Helmholtz–Duffing oscillator
Autor: | Jing-Yan Niu, Chun-Hui He, Abdulrahman Ali Alsolami |
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Jazyk: | angličtina |
Rok vydání: | 2024 |
Předmět: | |
Zdroj: | Journal of Low Frequency Noise, Vibration and Active Control, Vol 43 (2024) |
Druh dokumentu: | article |
ISSN: | 1461-3484 2048-4046 14613484 |
DOI: | 10.1177/14613484231193261 |
Popis: | An accurate frequency of the Helmholtz–Duffing oscillator is obtained by a sophisticated modification of He’s frequency formulation. The pull-down instability existing in the symmetric breaking phenomenon is a newly discovered dynamic motion for oscillators with even nonlinearities. A criterion for predicting the asymmetrical amplitude motion and the pull-down instability is built by measuring the amplitude change. The good matching performance between the analytic results and numerical ones indicates that the criterion offers a starting point for future research into the pull-down phenomenon, and opens a new path for studying more complex nonlinear oscillators with even nonlinearities. |
Databáze: | Directory of Open Access Journals |
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