三维蜂窝状声子晶体的带隙优化研究
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摘要
蜂窝状的声子晶体具有优秀的减振降噪特性,选择丁腈橡胶作为基底,钢作为散射体,通过构建不同蜂窝状的声子晶体模型以及改变几何材料参数,可以得到更宽的低频带隙,从而得到更好的减振效果。通过COMSOL软件,利用周期性边界条件和布洛赫理论进行建模,计算出其能带结构并和传输特性进行比较,分析了不同结构参数下的位移模式,寻找出最优越的蜂窝状声子晶体,在对带隙范围调控上提出了新的方法和思路。
Honeycomb phononic crystal has excellent features in reducing noise and vibration.For the crystal with nitrile rubber as the base and steel as the scatterer,a wider frequency band gap and better vibration reduction effect is realized by constructing different honeycomb phononic crystal model and changing the geometric parameters.The model is constructed based on the periodic boundary condition and Bloch theory using COMSOL software.The band structure are calculated and compared with the transport properties.Finally,the most superior honeycomb phononic crystal was found out and a new method to control the band gap was claimed.
Honeycomb phononic crystal has excellent features in reducing noise and vibration.For the crystal with nitrile rubber as the base and steel as the scatterer,a wider frequency band gap and better vibration reduction effect is realized by constructing different honeycomb phononic crystal model and changing the geometric parameters.The model is constructed based on the periodic boundary condition and Bloch theory using COMSOL software.The band structure are calculated and compared with the transport properties.Finally,the most superior honeycomb phononic crystal was found out and a new method to control the band gap was claimed.
引文
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[19]温熙森.声子晶体[M].北京:国防工业出版社,2009:23-25.
[2]Zhu R,Huang G L,Huang H H,et al.Experimental and numerical study of guided wave propagation in a thin metamaterial plate[J].Physics Letters A,2011,375(30/31):2863-2867.
[3]Wang Yanfeng,Wang Yuesheng.Multiple wide complete bandgaps of two-dimensional phononic crystal slabs with cross-like holes[J].Journal of Sound&Vibration,2013,332(8):2019-2037.
[4]Charles C,Bonello B,Ganot F.Propagation of guided elastic waves in 2Dphononic crystals.[J].Ultrasonics,2006,44(4):e1209.
[5]Liu Shaogang,Li Shidan,Shu Haisheng,et al.Research on the elastic wave band gaps of curved beam of phononic crystals[J].Physica B Physics of Condensed Matter,2015,457(457):82-91.
[6]Taniker S,Yilmaz C.Phononic gaps induced by inertial amplification in BCC and FCC lattices[J].Physics Letters Section A General Atomic&Solid State Physics,2013,377(31/33):1930-1936.
[7]Han Lin,Zhang Yan,Ni Zhiqiang,et al.A modified transfer matrix method for the study of the bending vibration band structure in phononic crystal Euler beams[J].Physica B Physics of Condensed Matter,2012,407(23):4579-4583.
[8]Liu Z,Zhang X,Mao Y,et al.Locally Resonant Sonic Materials[J].Science,2000,289(5485):1734-1736.
[9]Mei Jun,Ma Guancong,Yang Min,et al.Dark acoustic metamaterials as super absorbers for low-frequency sound[J].Nature Communications,2012,3(2):756-762.
[10]Lu Kuan,Wu Jiuhui,Guan Dong,et al.A lightweight low-frequency sound insulation membrane-type acoustic metamaterial[J].Aip Advances,2016,6(2):025116.
[11]Tanaka Y,Tamura S I.Surface acoustic waves in twodimensional periodic elastic structures[J].Physical Review B,1998,58(12):7958-7965.
[12]Kushwaha M S,Halevi P.Stop bands for cubic arrays of spherical balloons[J].Journal of the Acoustical Society of America,1997,101(1):619-622.
[13]刘志明.声子晶体带隙特性研究[D].合肥:国防科学技术大学,2005.
[14]王刚.声子晶体局域共振带隙机理及减振特性研究[D].合肥:国防科学技术大学,2005.
[15]Wang Gang,Wen Jihong,Liu Yaozong,et al.Lumped-mass method for the study of band structure in two-dimensional phononic crystals[J].Physical Review B,2004,69(18):184302.
[16]颜琳.声子晶体带结构研究[D].湘潭:湘潭大学,2005.
[17]Kushwaha M S,Djafari-Rouhani B,Dobrzynski L,et al.Sonic stop-bands for cubic arrays of rigid inclusions in air[J].The European Physical Journal B-Condensed Matter and Complex Systems,1998,3(2):155-161.
[18]王刚,温激鸿,韩小云,等.二维声子晶体带隙计算中的时域有限差分方法[J].物理学报,2003,52(8):1943-1947.Wang Gang,Wen Jihong,Han Xiaoyun,et al.Finite difference time domain method for the study of band gap in two-dimensiona l phononic crystals[J].Acta Physica Sinica,2003,52(8):1943-1947.(in Chinese)
[19]温熙森.声子晶体[M].北京:国防工业出版社,2009:23-25.
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