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Tunable Bandgap Design of Soft Phononic Crystals Using Topology Optimization
Advanced Theory and Simulations ( IF 3.3 ) Pub Date : 2022-02-27 , DOI: 10.1002/adts.202100620
Yangjun Luo 1 , Yan Li 1
Affiliation  

Soft phononic crystals (PnCs) have significant advantages for tuning bandgaps and undergoing reversible large deformations. However, the difficulty of the design arises from the presence of material and geometrical nonlinearities coupled with the energy band performance. This study presents an effective topological optimization method to realize tunable bandgap designs of mechanism-driven soft PnCs composed of two hyperelastic materials. Based on the material-field series-expansion method, the topology optimization model with a small number of topological design variables is defined as maximizing the bandgaps of PnCs before and/or after stretching. The optimization problem is then solved by a gradient-free algorithm, which eliminates the need for the complex sensitivity analysis. Numerical examples show that using tensile deformation to switch between different acoustic functions can achieve the maintenance, opening, and closing of arbitrary order bandgaps, and the proposed method provides an effective way to design soft PnCs with rapid tunability of bandgaps.

中文翻译:

使用拓扑优化设计软声子晶体的可调谐带隙

软声子晶体 (PnCs) 在调节带隙和经历可逆大变形方面具有显着优势。然而,设计的困难源于材料和几何非线性以及能带性能的存在。本研究提出了一种有效的拓扑优化方法,以实现由两种超弹性材料组成的机制驱动软 PnC 的可调谐带隙设计。基于材料场级数展开法,拓扑设计变量较少的拓扑优化模型被定义为在拉伸前后最大化PnCs的带隙。然后通过无梯度算法解决优化问题,从而无需复杂的灵敏度分析。
更新日期:2022-02-27
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