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Extension/Compression-Controlled Complete Band Gaps in 2D Chiral Square-Lattice-Like Structures

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A Correction to this article was published on 22 November 2018

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Abstract

Achieving tunable band gaps in a structure by external stimuli is of great importance in acoustic applications. This paper aims to investigate the tunability of band gaps in square-lattice-like elastic periodic structures that are usually not featured with notable band gaps. Endowed with chirality, the periodic structures here are able to undergo imperfection-insensitive large deformation under extension or compression. The influences of geometric parameters on band gaps are discussed via the nonlinear finite element method. It is shown that the band gaps in such structures with curved beams can be very rich and, more importantly, can be efficiently and robustly tuned by applying appropriate mechanical loadings without inducing buckling. As expected, geometry plays a more significant role than material nonlinearity does in the evolution of band gaps. The dynamic tunability of band gaps through mechanical loading is further studied. Results show that closing, opening, and shifting of band gaps can be realized by exerting real-time global extension or compression on the structure. The proposed periodic structure with well-designed chiral symmetry can be useful in the design of particular acoustic devices.

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  • 22 November 2018

    In all the articles in Acta Mechanica Solida Sinica, Volume 31, Issues 1–4, the copyright is incorrectly displayed as “The Chinese Society of Theoretical and Applied Mechanics and Technology ” where it should be “The Chinese Society of Theoretical and Applied Mechanics”.

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Acknowledgements

The work was supported by the National Natural Science Foundation of China (Nos. 11532001, 11621062, and 11272281) and open project of State Key Laboratory of Explosion Science and Technology (Beijing Institute of Technology) under Grant No. KFJJ16-04M. Partial support from the Fundamental Research Funds for the Central Universities (No. 2016XZZX001-05) is also acknowledged.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Zhejiang University, Hangzhou, 310027, China

    Y. L. Huang, N. Gao, W. Q. Chen & R. H. Bao

  2. State Key Lab of CAD & CG, Zhejiang University, Hangzhou, 310058, China

    W. Q. Chen

  3. Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou, 310027, China

    W. Q. Chen & R. H. Bao

  4. Soft Matter Research Center, Zhejiang University, Hangzhou, 310027, China

    W. Q. Chen

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  1. Y. L. Huang
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  2. N. Gao
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  4. R. H. Bao
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Correspondence to R. H. Bao.

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Huang, Y.L., Gao, N., Chen, W.Q. et al. Extension/Compression-Controlled Complete Band Gaps in 2D Chiral Square-Lattice-Like Structures. Acta Mech. Solida Sin. 31, 51–65 (2018). https://doi.org/10.1007/s10338-018-0004-z

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  • DOI: https://doi.org/10.1007/s10338-018-0004-z

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