利用遗传算法优化压电超材料,实现最佳振动抑制效果

IF 2.3 3区 工程技术 Q2 MECHANICS
Yuqiang Gao, Lifeng Wang
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引用次数: 0

摘要

宽带振动抑制是工程应用中的一大挑战。本文采用遗传算法,将带有分流电路的压电超材料梁的两个布拉格带隙桥接起来,形成超宽带隙。压电贴片周期性地附着在主梁上。电感-电容-电阻(LCR)分流电路与压电贴片相连。设计了一个具有不同 LCR 分流电路的超级电池。为了将多个局部谐振带隙与布拉格带隙耦合,设计了一种基于遗传算法的优化方案。将波长的虚部作为优化目标,以实现目标频率范围内的最大衰减。结果表明,两个布拉格带隙通过桥接形成了一个超宽带隙,并实现了最大衰减。透射率表明,超材料可以在超宽频率范围内实现最佳振动抑制效果。有限元结果验证了优化后的超材料能将两个带隙桥接成一个宽带隙,并能在超宽频率范围内实现最佳振动抑制效果。600-8100 Hz 的伪随机振动证实,优化后的超材料更适用于宽带振动抑制。这种超材料在复杂的工程环境中具有更多优势。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Optimization piezoelectric metamaterials by genetic algorithm for optimal vibration suppression

Broadband vibration suppression is a major challenge in engineering applications. In this paper, two Bragg bandgaps of a piezoelectric metamaterial beam with a shunted circuit are bridged to form an ultrawide bandgap by using the genetic algorithm. Piezoelectric patches are periodically attached to the host beam. Inductive-capacitive-resistive (LCR) shunted circuits are connected to the piezoelectric patches. A supercell with different LCR shunted circuits is designed. To couple multiple locally resonant bandgaps to Bragg bandgaps, an optimized scheme based on genetic algorithm is designed. The imaginary part of the wavenumber is used as an optimization objective to achieve the maximum attenuation within the target frequency range. The results show that two Bragg bandgaps are bridged to form an ultrawide bandgap and maximum attenuation is achieved. The transmissibility shows that the metamaterial can achieve optimal vibration suppression in the ultrawide frequency range. The finite element results verify that the optimized metamaterial can bridge the two bandgaps into a wide bandgap and can realize optimal vibration suppression at ultrawide frequencies. The pseudo-stochastic vibration of 600–8100 Hz confirms that the optimized metamaterials are more suitable for broadband vibration suppression. This metamaterial has more advantages in complex engineering environments.

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来源期刊
Acta Mechanica
Acta Mechanica 物理-力学
CiteScore
4.30
自引率
14.80%
发文量
292
审稿时长
6.9 months
期刊介绍: Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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