Abstract

This work presents some experimental results for resonant nonlinear response of hyperelastic plates for 1:2 internal resonance. Previously developed topology optimization methods are used to design and fabricate candidate resonant plates using 3-D printing. One such plate is subjected to harmonic transverse excitation with increasing amplitudes in a frequency range where 1:2 internal resonances are expected to be activated. While the fabricated structure exhibits coupled mode internal resonance activated response when subjected to higher levels of excitation, the plate also displays other interesting nonlinear behavior. These include nonlinear periodic as well as amplitude modulated motions of the directly excited mode and these motions super-imposed on the coupled mode response.

中文翻译：

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在具有1：2内部共振的谐波激发悬臂板实验中

摘要

这项工作提出了一些超弹性板在1：2内部共振下的共振非线性响应的实验结果。以前开发的拓扑优化方法用于使用3-D打印设计和制造候选谐振板。一个这样的板在期望激活1：2内部共振的频率范围内经受振幅增加的谐波横向激励。尽管所制造的结构在受到更高水平的激励时会表现出耦合模式的内部共振激活响应，但该板还表现出其他有趣的非线性行为。这些包括直接激励模式的非线性周期性运动和振幅调制运动，以及这些运动叠加在耦合模式响应上。