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Multi-band design for one-dimensional phononic crystals

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  • Special Topic: Modern Acoustics
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Abstract

Periodic composites with band gaps that prevent the propagation of elastic waves in certain frequency ranges can be used to control waves for a variety of engineering applications. Although studies on the characteristics of these materials, which are called phononic crystals (PCs), have yielded a large number of positive results in recent years, there is still a lack of effective design methods. In this work, a multi-objective optimization approach based on the band gap mechanism and an intelligent algorithm is used to design a one-dimensional (1D) slab construction of PCs. The design aims to fit pre-determined bands by arranging the available materials properly. Obtained by analyzing the wave transmission in periodic layers, the objective functions are linked to the optimization program to obtain a proper solution set. The results of the numerical simulations demonstrate that without constructing complicated structures, the design method is able to produce PCs that overcome the limitations of two-component PCs and hence can feasibly and effectively achieve the design targets. The design approach presented in this paper can be extended to two- or three-dimensional systems and has great potential for the development of sound/ultrasound isolation structures, multiple band frequency filters, and other applications.

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Authors and Affiliations

  1. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, 310058, China

    Pei Zhang, ZhenYu Wang, YongQiang Zhang & Xu Liang

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  1. Pei Zhang
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  2. ZhenYu Wang
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  3. YongQiang Zhang
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  4. Xu Liang
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Correspondence to ZhenYu Wang.

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Zhang, P., Wang, Z., Zhang, Y. et al. Multi-band design for one-dimensional phononic crystals. Sci. China Phys. Mech. Astron. 56, 1253–1262 (2013). https://doi.org/10.1007/s11433-013-5093-6

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  • DOI: https://doi.org/10.1007/s11433-013-5093-6

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