用格林函数法模拟具有时空调制特性的梁的振动

Benjamin M. Goldsberry, Andrew N. Norris, Samuel P. Wallen, Michael R. Haberman
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引用次数: 0

摘要

利用一种新颖的格林函数方法,推导出了具有轻阻尼的有限长度时空调制弹性光束的强迫时间谐波响应。发现的闭式解突出了由时空调制引起的独特模耦合效应,例如可随调制参数调整的分裂共振。这些阶数为 1 的效应是由时空调制引起的,其振幅较小,与光阻尼的大小成适当比例。这里所确定的调制振幅、阻尼和修正共振附近的内频率范围之间的比例关系,可以转化为更复杂和更高维度的弹性系统。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Green's Function Approach to Model Vibrations of Beams with Spatiotemporally Modulated Properties
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.
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