| Autor: |
Novkoski, Filip, Fillette, Jules, Pham, Chi-Tuong, Falcon, Eric |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Physica D: Nonlinear Phenomena 463, 134164 (2024) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.physd.2024.134164 |
| Popis: |
We show that the natural resonant frequency of a suspended flexible string is significantly modified (by one order of magnitude) by adding a freely pivoting attached mass at its lower end. This articulated system then exhibits complex nonlinear dynamics such as bending oscillations, similar to those of a swing becoming slack, thereby strongly modifying the system resonance that is found to be controlled by the length of the pivoting mass. The dynamics is experimentally studied using a remote and noninvasive magnetic parametric forcing. To do so, a permanent magnet is suspended by a flexible string above a vertically oscillating conductive plate. Harmonic and period-doubling instabilities are experimentally reported and are modeled using the Hill equation, leading to analytical solutions that accurately describe the experimentally observed tonguelike instability curves. |
| Databáze: |
arXiv |
| Externí odkaz: |
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