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设计了一种多频局域共振型声子晶体板结构, 该结构由一薄板上附加周期性排列的多个双悬臂梁式子结构而构成. 由于多个双悬臂梁式子结构的低频振动与薄板振动的相互耦合作用, 这种局域共振型板结构可产生多个低频弯曲波带隙(禁带); 带隙频率范围内的板弯曲波会被禁止传播, 利用带隙可以实现对薄板的多个目标频率处低频减振. 本文针对这种局域共振型板结构进行了简化, 并基于平面波展开法建立了其弯曲波带隙计算理论模型; 基于该模型, 结合具体算例进行了带隙特性理论分析. 设计、制备了一种存在两个低频弯曲波带隙的局域共振型板结构样件, 通过激光扫描测振仪测试证实该结构存在两个低频带隙, 在带隙频率范围的板弯曲振动被显著衰减.
[1] Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B 1993 Phys. Rev. Lett. 71 2022
[2] Liu Z, Zhang X, Mao Y, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734
[3] Fang N, Xi D, Xu J, Ambati M, Strituravanich W, Sun C, Zhang X 2006 Nat. Mater. 5 452
[4] Wen X S, Wen J H, Yu D L, Wang G, Liu Y Z, Han X Y 2009 Phononic Crystals (Beiging: National Defense Industry Press) pp196-291 (in Chinese) [温熙森, 温激鸿, 郁殿龙, 王刚, 刘耀宗, 韩小云 2009 声子晶体 (北京: 国防工业出版社) 第196-291页]
[5] Wen J H, Wang G, Yu D L, Zhao H G, Liu Y Z, Wen X S 2008 Sci. China Series E: Technol. Sci. 51 85
[6] Cheng C, Wu F G, Zhang X, Yao Y W 2014 Acta Phys. Sin. 63 024301 (in Chinese) [程聪, 吴福根, 张欣, 姚源卫 2014 物理学报 63 024301]
[7] Liu J, Hou Z L, Fu X J 2015 Acta Phys. Sin. 64 154302 (in Chinese) [刘娇, 侯志林, 傅秀军 2015 物理学报 64 154302]
[8] Zhang H, Wen J H, Chen S B, Wang G, Wen X S 2015 Chin. Phys. B 24 036201
[9] Xiao Y, Wen J, Wen X 2012 Phys Lett A 376 1384
[10] Xiao Y, Wen J, Yu D, Wen X 2013 J. Sound Vib. 332 867
[11] Xiao Y, Wen J, Wang G, Wen X 2013 J. Vib. Acoust. 135 041006
[12] Wang Y F, Wang Y S 2013 J. Sound Vib. 332 2019
[13] Xiao Y, Wen J, Wen X 2012 New J. Phys. 14 033042
[14] Zhang H, Wen J, Xiao Y, Wang G, Wen X 2015 J. Sound Vib. 343 104
[15] Zhang H, Xiao Y, Wen J, Yu D, Wen X 2015 J. Phys. D: Appl. Phys. 48 435305
[16] Zhang Y, Wen J, Xiao Y, Wen X, Wang J 2012 Phys Lett A 376 1489
[17] Liu Z, Chan C T, Sheng P 2005 Phys. Rev. B 71 014103
[18] Li J, Chan C T 2004 Phys. Rev. E 70 055602(R)
[19] Yu D L, Liu Y Z, Qiu J, Zhao H G, Liu Z M 2005 Chin. Phys. Lett. 22 1958
[20] Wu T T, Huang Z G, Tsai T C, Wu T C 2008 Appl. Phys. Lett. 93 111902
[21] Pennec Y, Djafari-Rouhani B, Larabi H, Vasseur J O, Hladky-Hennion A C 2008 Phys. Rev. B 78 104105
[22] Oudich M, Assouar M B, Hou Z 2010 Appl. Phys. Lett. 97 193503
[23] Oudich M, Senesi M, Assouar M B, Ruzenne M, Sun J H, Vincent B, Hou Z, Wu T T 2011 Phys. Rev. B 84 165136
[24] Xiao Y, Wen J, Wen X 2012 J. Sound Vib. 331 5408
[25] Xiao Y, Wen J, Wen X 2012 J. Phys. D: Appl. Phys. 45 195401
[26] Zhang S, Wu J H, Hu Z 2013 J. Appl. Phys. 113 163511
[27] Wang Y F, Wang Y S 2013 J. Appl. Phys. 114 043509
[28] Ma J, Hou Z, Assouar B M 2014 J. Appl. Phys. 115 093508
[29] Xiao Y, Wen J, Huang L, Wen X 2014 J. Phys. D: Appl. Phys. 47 045307
[30] Torrent D, Mayou D, Snchez-Dehesa J 2013 Phys. Rev. B 87 115143
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[1] Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B 1993 Phys. Rev. Lett. 71 2022
[2] Liu Z, Zhang X, Mao Y, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734
[3] Fang N, Xi D, Xu J, Ambati M, Strituravanich W, Sun C, Zhang X 2006 Nat. Mater. 5 452
[4] Wen X S, Wen J H, Yu D L, Wang G, Liu Y Z, Han X Y 2009 Phononic Crystals (Beiging: National Defense Industry Press) pp196-291 (in Chinese) [温熙森, 温激鸿, 郁殿龙, 王刚, 刘耀宗, 韩小云 2009 声子晶体 (北京: 国防工业出版社) 第196-291页]
[5] Wen J H, Wang G, Yu D L, Zhao H G, Liu Y Z, Wen X S 2008 Sci. China Series E: Technol. Sci. 51 85
[6] Cheng C, Wu F G, Zhang X, Yao Y W 2014 Acta Phys. Sin. 63 024301 (in Chinese) [程聪, 吴福根, 张欣, 姚源卫 2014 物理学报 63 024301]
[7] Liu J, Hou Z L, Fu X J 2015 Acta Phys. Sin. 64 154302 (in Chinese) [刘娇, 侯志林, 傅秀军 2015 物理学报 64 154302]
[8] Zhang H, Wen J H, Chen S B, Wang G, Wen X S 2015 Chin. Phys. B 24 036201
[9] Xiao Y, Wen J, Wen X 2012 Phys Lett A 376 1384
[10] Xiao Y, Wen J, Yu D, Wen X 2013 J. Sound Vib. 332 867
[11] Xiao Y, Wen J, Wang G, Wen X 2013 J. Vib. Acoust. 135 041006
[12] Wang Y F, Wang Y S 2013 J. Sound Vib. 332 2019
[13] Xiao Y, Wen J, Wen X 2012 New J. Phys. 14 033042
[14] Zhang H, Wen J, Xiao Y, Wang G, Wen X 2015 J. Sound Vib. 343 104
[15] Zhang H, Xiao Y, Wen J, Yu D, Wen X 2015 J. Phys. D: Appl. Phys. 48 435305
[16] Zhang Y, Wen J, Xiao Y, Wen X, Wang J 2012 Phys Lett A 376 1489
[17] Liu Z, Chan C T, Sheng P 2005 Phys. Rev. B 71 014103
[18] Li J, Chan C T 2004 Phys. Rev. E 70 055602(R)
[19] Yu D L, Liu Y Z, Qiu J, Zhao H G, Liu Z M 2005 Chin. Phys. Lett. 22 1958
[20] Wu T T, Huang Z G, Tsai T C, Wu T C 2008 Appl. Phys. Lett. 93 111902
[21] Pennec Y, Djafari-Rouhani B, Larabi H, Vasseur J O, Hladky-Hennion A C 2008 Phys. Rev. B 78 104105
[22] Oudich M, Assouar M B, Hou Z 2010 Appl. Phys. Lett. 97 193503
[23] Oudich M, Senesi M, Assouar M B, Ruzenne M, Sun J H, Vincent B, Hou Z, Wu T T 2011 Phys. Rev. B 84 165136
[24] Xiao Y, Wen J, Wen X 2012 J. Sound Vib. 331 5408
[25] Xiao Y, Wen J, Wen X 2012 J. Phys. D: Appl. Phys. 45 195401
[26] Zhang S, Wu J H, Hu Z 2013 J. Appl. Phys. 113 163511
[27] Wang Y F, Wang Y S 2013 J. Appl. Phys. 114 043509
[28] Ma J, Hou Z, Assouar B M 2014 J. Appl. Phys. 115 093508
[29] Xiao Y, Wen J, Huang L, Wen X 2014 J. Phys. D: Appl. Phys. 47 045307
[30] Torrent D, Mayou D, Snchez-Dehesa J 2013 Phys. Rev. B 87 115143
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