تقرير
Green's Function Approach to Model Vibrations of Beams with Spatiotemporally Modulated Properties
| العنوان: | Green's Function Approach to Model Vibrations of Beams with Spatiotemporally Modulated Properties |
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| المؤلفون: | Goldsberry, Benjamin M., Norris, Andrew N., Wallen, Samuel P., Haberman, Michael R. |
| سنة النشر: | 2024 |
| المجموعة: | Physics (Other) |
| مصطلحات موضوعية: | Physics - Applied Physics |
| الوصف: | The forced time harmonic response of a spatiotemporally-modulated elastic beam of finite length with light damping is derived using a novel Green's function approach. Closed-form solutions are found that highlight unique mode coupling effects that are induced by spatiotemporal modulation, such as split resonances that are tunable with the modulation parameters. These effects of order unity are caused by spatiotemporal modulation with small amplitude appropriately scaled to the magnitude of the light damping. The scalings identified here between the modulation amplitude, the damping, and the inner range of frequency near the modified resonances, translate over to more complicated and higher dimensional elastic systems. Comment: 14 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2409.02829 |
| رقم الأكسشن: | edsarx.2409.02829 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |