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首页> 外文期刊>Journal of Computational Physics >Shape optimization of solid-air porous phononic crystal slabs with widest full 3D bandgap for in-plane acoustic waves
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Shape optimization of solid-air porous phononic crystal slabs with widest full 3D bandgap for in-plane acoustic waves

机译：具有最宽的全空气孔隙晶体板的形状优化，具有较宽的完整3D带隙，用于面内声波

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摘要

The use of Phononic Crystals (PnCs) as smart materialsin structures and microstructures is growing due to their tunable dynamical properties and to the wide range of possible applications. PnCs are periodic structures that exhibit elastic wave scattering for a certain band of frequencies (called bandgap), depending on the geometric and material properties of the fundamental unit cell of the crystal. PnCs slabs can be represented by plane-extruded structures composed of a single material with periodic perforations. Such a configuration is very interesting, especially in Micro Electro-Mechanical Systems industry, due to the easy fabrication procedure. A lot of topologies can be found in the literature for PnCs with square-symmetric unit cell that exhibit complete 2D bandgaps; however, due to the application demand, it is desirable to find the best topologies in order to guarantee full bandgaps referred to in-plane wave propagation in the complete 3D structure. In this work, by means of a novel and fast implementation of the Bidirectional Evolutionary Structural Optimization technique, shape optimization is conducted on the hole shape obtaining several topologies, also with non-square-symmetric unit cell, endowed with complete 3D full bandgaps for in-plane waves. Model order reduction technique is adopted to reduce the computational time in the wave dispersion analysis. The 3D features of the PnC unit cell endowed with the widest full bandgap are then completely analyzed, paying attention to engineering design issues. (C) 2017 Elsevier Inc. All rights reserved.
机译：由于其可调谐动态特性和各种可能的应用，因此使用子晶体（PNC）作为智能材料结构和微结构的使用。 PNC是周期性结构，其表现出一定的频带（称为带隙）的弹性波散射，这取决于晶体的基本单元电池的几何和材料特性。 PNCS板可以由由具有周期性穿孔的单个材料构成的平面挤出结构来表示。由于制造过程易于制造，这种配置非常有趣，特别是在微电机械系统行业中。在具有方形对称单元单元的PNC的文献中可以找到许多拓扑结构，该方形对称单元电池表现出完整的2D带隙;然而，由于应用需求，希望找到最佳拓扑以保证完整的3D结构中提到的平面波动传播的完整带隙。在这项工作中，通过新颖的和快速实现双向进化结构优化技术，在孔形状上进行形状优化，也具有非方形对称单元单元，赋予了完整的3D全带隙。 -plane波。采用模型顺序减少技术来减少波分散分析中的计算时间。然后完全分析了具有最宽的全带隙的PNC单元单元的3D特征，请注意工程设计问题。 （c）2017年Elsevier Inc.保留所有权利。

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