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首页> 外文期刊>Mechatronics, IEEE/ASME Transactions on >Design and Analysis of Piezoelectric Metamaterial Beams With Synthetic Impedance Shunt Circuits
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Design and Analysis of Piezoelectric Metamaterial Beams With Synthetic Impedance Shunt Circuits

机译：具有合成阻抗并联电路的压电超材料梁的设计与分析

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摘要

We present an electromechanical modeling framework and a detailed numerical investigation for the design and analysis of piezoelectric metamaterial beams whose unit cells with segmented electrode pairs are shunted to synthetic impedance circuits. This framework aims to extend the well-studied locally resonant piezoelectric metamaterials and resulting finite metastructures with specified boundary conditions to novel concepts beyond bandgaps associated with simple inductive shunts. Overcoming the bandgap limitations of the locally resonant design requires more advanced considerations in the electrical domain. To this end, we bridge piezoelectric metamaterials and synthetic impedance shunts, and present a general design and analysis framework along with numerical case studies. A general procedure is implemented based on the root locus method for choosing the shunt circuit impedance, with an emphasis on vibration attenuation and practical design considerations. Case studies are presented for systems with locally resonant bandgaps with or without negative capacitance, as well as systems with multiple distinct bandgaps, and the necessary shunt admittance is derived for each case. Simulations are performed for a typical finite meta material beam with synthetic impedance shunts, accounting for the finite sampling rate and circuit dynamics. Time-domain simulations using these synthetic impedance circuits are compared to the ideal frequency-domain results with very good agreement.
机译：我们为压电超材料梁的设计和分析提供了一个机电建模框架和详细的数值研究，其带有分段电极对的晶胞被并联到合成阻抗电路中。该框架旨在将经过深入研究的局部共振压电超材料和具有指定边界条件的有限元结构扩展到超越与简单电感分流相关的带隙的新颖概念。克服局部谐振设计的带隙限制需要在电气领域进行更高级的考虑。为此，我们桥接了压电超材料和合成阻抗分流器，并提出了一般设计和分析框架以及数值案例研究。基于根轨迹法的通用过程用于选择并联电路阻抗，重点是振动衰减和实际设计考虑。针对具有或不具有负电容的局部谐振带隙的系统以及具有多个不同带隙的系统，进行了案例研究，并针对每种情况得出了必要的并联导纳。针对具有合成阻抗分流器的典型有限元材料梁进行了仿真，并考虑了有限采样率和电路动力学。使用这些合成阻抗电路的时域仿真与理想的频域结果进行了比较，具有很好的一致性。

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