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首页> 外文期刊>Mechanical systems and signal processing >Metamaterial beam with graded local resonators for broadband vibration suppression
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Metamaterial beam with graded local resonators for broadband vibration suppression

机译：具有梯度局部谐振器的超材料梁，用于宽带振动抑制

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摘要

This paper investigates a technique for broadband vibration suppression using a graded metamaterial beam. A series of local resonators with the same mass but different natural frequencies are attached to the beam. The difference between the natural frequencies of neighboring local resonators is defined as the frequency spacing. The spectral element method (SEM) is used to model the graded metamaterial beam, and is verified by the corresponding finite element model (FEM). Three figures of merit are defined to quantitatively evaluate the vibration suppression performance of the proposed metamaterial beam, in terms of the attenuation bandwidth and attenuation strength. Subsequently, a design strategy is proposed, and used to tune the frequency spacing to get a wide attenuation region. A parametric study is conducted to reveal the effects of the frequency spacing and damping ratio on the vibration suppression performance of the graded metamaterial beam: with increasing frequency spacing, the attenuation region first becomes wider, then multiple discrete attenuation regions appear; and with increasing damping ratio, the transmittance response becomes flatter. A piezoelectric metamaterial beam is used to implement the proposed design strategy. Using a synthetic shunt circuit, the 'stiffness' of the local resonator can be tuned using a piezoelectric transducer. The FEM simulation results agree well with the developed theory for the graded metamaterial beam: with tuning of the capacitance spacing (2.4 nF), the attenuation bandwidth can be increased by about 172.8% as compared to the conventional one shunted with identical capacitances.
机译：本文研究了使用梯度超梁的宽带振动抑制技术。一系列具有相同质量但不同的自然频率的局部谐振器附着在梁上。相邻局部谐振器的自然频率之间的差异被定义为频率间距。光谱元素方法（SEM）用于模拟分级的超级束，并由相应的有限元模型（FEM）验证。在衰减带宽和衰减强度方面，定义了三个优异的优点图来定量评估所提出的超材料束的振动抑制性​​能。随后，提出了一种设计策略，并用于调整频率间距以获得宽衰减区域。进行参数研究以揭示频率间距和阻尼比对梯度超梁的振动抑制性​​能的影响：随着频率间距的增加，衰减区域首先变宽，然后出现多个离散衰减区域;随着阻尼比的增加，透射率响应变得更平坦。压电超石料梁用于实现所提出的设计策略。使用合成分流电路，可以使用压电换能器调谐局部谐振器的“刚度”。 FEM仿真结果与梯度超梁的开发理论非常吻合：随着电容间距的调谐（2.4 NF），与传统的电容分流相比，衰减带宽可以增加约172.8％。

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