Symmetry-breaking and pull-down motion for the Helmholtz–Duffing oscillator

Autor: Jing-Yan Niu, Chun-Hui He, Abdulrahman Ali Alsolami
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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