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首页> 外文期刊>International journal of mechanics and materials in design >Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials
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Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials

机译：压电嵌入式机械超材料中的最佳机电带隙

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Elastic mechanical metamaterials are the exemplar of periodic structures. These are artificially designed structures having idiosyncratic physical properties like negative mass and negative Young's modulus in specific frequency ranges. These extreme physical properties are due to the spatial periodicity of mechanical unit cells, which exhibit local resonance. That is why scientists are researching the dynamics of these structures for decades. This unusual dynamic behavior is frequency contingent, which modulates wave propagation through these structures. Locally resonant units in the designed metamaterial facilitate bandgap formation virtually at any frequency for wavelengths much higher than the lattice length of a unit. Here, we analyze the band structure of piezo-embedded negative mass metamaterial using the generalized Bloch theorem. For a finite number of the metamaterial units coupled equation of motion of the system is deduced, considering purely resistive and shunted inductor energy harvesting circuits. Successively, the voltage and power produced by piezoelectric material along with transmissibility of the system are computed using the backward substitution method. The addition of the piezoelectric material at the resonating unit increases the complexity of the solution. The results elucidate, the insertion of the piezoelectric material in the resonating unit provides better tunability in the band structure for simultaneous energy harvesting and vibration attenuation. Non-dimensional analysis of the system gives physical parameters that govern the formation of mechanical and electromechanical bandgaps. Optimized numerical values of these system parameters are also found for maximum first attenuation bandwidth. Thus, broader bandgap generation enhances vibration attenuation, and energy harvesting can be simultaneously available, making these structures multifunctional. This exploration can be considered as a step towards the active elastic mechanical metamaterials design.
机译：弹性机械超材料是周期性结构的示例性。这些是人工设计的结构具有特殊的物理性质，如在特定频率范围内的负质量和负杨氏模量等。这些极端物理性质是由于机械单元电池的空间周期性，其呈现局部共振。这就是为什么科学家几十年来研究这些结构的动态。这种不寻常的动态行为是频率偶然，其通过这些结构调制波传播。设计的超材料中的局部谐振单元促进了带隙形成，几乎在任何频率下的波长高于单位的晶格长度。在这里，我们使用广义的Bloch定理分析压电嵌入负质量超材料的带结构。考虑纯电阻和分流电感器能量收集电路，推导出耦合系统的有限数量的超材料单元耦合的运动运动方程。连续地，使用后向替代方法计算压电材料产生的电压和功率以及系统的传递性。在谐振单元处添加压电材料增加了溶液的复杂性。结果阐明，在谐振单元中插入压电材料在带结构中提供更好的可调性，以便同时能量收集和振动衰减。系统的非尺寸分析提供了管理机械和机电带隙的形成的物理参数。还发现了这些系统参数的优化数值，用于最大的首次衰减带宽。因此，更广泛的带隙生成增强了振动衰减，并且可以同时可用，使得这些结构多功能。该勘探可以被认为是朝向主动弹性机械超材料设计的一步。

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