本文结合超元胞方法利用有限元软件计算了12重固/固型(Pb/Epoxy)准周期声子晶体反平面模态的频散曲线和透射谱,并结合模态分布图讨论了弹性波的局部化现象.结果表明:对于12重固/固型准周期声子晶体,选用包含其中心拼图在内的最小超元胞来计算其反平面模态的频散曲线是合理和有效的;准周期体系在较低的频率下打开了完全带隙.
参考文献
[1] | 郭可信.准晶的晶体学特征[J].化学进展,1994(04):266. |
[2] | 范天佑.准晶数学弹性理论和某些有关研究的进展(下)[J].力学进展,2012(06):675-691. |
[3] | 赵华芳,江少林.晶体和准晶旋声性质的旋转不变性[J].人工晶体学报,2007(04):874-876. |
[4] | 龙从国,江少林.准晶三阶非线性弹性的轴转动对称性[J].人工晶体学报,2006(02):299-301. |
[5] | Steurer W;Sutter-Widmer D .Photonic and phononic quasicrystals[J].Journal of Physics, D. Applied Physics: A Europhysics Journal,2007(13):R229-R247. |
[6] | Aynaou H;El Boudouti EH;Djafari-Rouhani B;Akjouj A;Velasco R .Propagation and localization of acoustic waves in Fibonacci phononic circuits[J].Journal of Physics. Condensed Matter,2005(27):4245-4262. |
[7] | King PDC;Cox TJ .Acoustic band gaps in periodically and quasiperiodically modulated waveguides[J].Journal of Applied Physics,2007(1):14902-1-14902-8-0. |
[8] | 罗青.声波在一维准周期系统中的传播[J].南京师大学报(自然科学版),2002(02):110-115. |
[9] | 方云团,王永顺,姜光.声波在球状准周期多层介质中的传播[J].应用声学,2004(01):23-28,47. |
[10] | 曹永军,杨旭.广义Fibonacci准周期结构声子晶体透射性质的研究[J].物理学报,2008(06):3620-3624. |
[11] | 杨旭,王立勇,杜晓东,曹永军.一维三组元准周期结构声子晶体的透射性质[J].内蒙古师范大学学报(自然科学汉文版),2010(04):363-366. |
[12] | Albuquerque, E.L.;Sesion Jr., P.D. .Band gaps of acoustic waves propagating in a solid/liquid phononic Fibonacci structure[J].Physica, B. Condensed Matter,2010(17):3704-3708. |
[13] | Gei, M. .Wave propagation in quasiperiodic structures: Stop/pass band distribution and prestress effects[J].International Journal of Solids and Structures,2010(22/23):3067-3075. |
[14] | 陈阿丽,汪越胜.一维准周期声子晶体中平面波的传播和局部化[J].应用声学,2008(01):69-73. |
[15] | Chen AL;Wang YS;Guo YF;Wang ZD .Band structures of Fibonacci phononic quasicrystals[J].Solid State Communications,2008(3):103-108. |
[16] | Ali Chen,Yuesheng Wang,Guilan Yu,Yafang Guo,Zhengdao Wang.ELASTIC WAVE LOCALIZATION IN TWO-DIMENSIONAL PHONONIC CRYSTALS WITH ONE-DIMENSIONAL QUASI-PERIODICITY AND RANDOM DISORDER[J].固体力学学报(英文版),2008(06):517-528. |
[17] | Sutter-Widmer D;Deloudi S;Steurer W .Periodic average structures in phononic quasicrystals[J].Philosophical magazine: structure and properties of condensed matter,2007(18/21):3095-3102. |
[18] | 高鹏,耿兴国,欧修龙,薛文辉.人工构建二维准晶复合结构的减阻特性研究[J].物理学报,2009(01):421-426. |
[19] | Yun Lai;Xiangdong Zhang;Zhao-Qing Zhang .Large sonic band gaps in 12-fold quasicrystals[J].Journal of Applied Physics,2002(9):6191-6193. |
[20] | 郝国郡,傅秀军,侯志林.正方点阵上Fibonacci超元胞声子晶体的带结构[J].物理学报,2009(12):8484-8488. |
[21] | 李建宝 .声子晶体带隙调控的数值与实验研究[D].北京交通大学,2011. |
[22] | Li, J.-B.;Wang, Y.-S.;Zhang, C. .Dispersion relations of a periodic array of fluid-filled holes embedded in an elastic solid[J].Journal of computational acoustics,2012(4):1250014-1-1250014-19. |
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