[1] KUSHWAHA M S, HALEVI P, DOBRZYNSI L, et al. Acoustic band structure of periodic elastic composites [J]. Physical Review Letters, 1993, 71(3): 2022-2025.
[2] ZHANG Siwen, HUI Wujiu, HU Zhiping. Low-frequency locally resonant band-gaps in phononic crystal plates with periodic spiral resonators [J]. Journal of Applied Physics, 2013, 113(16):163511.
[3] RUAN Y, LIANG X, WANG Z, et al. 3-D underwater acoustic wave focusing by periodic structure [J]. Applied Physics Letters, 2019, 2(8): 81908.
[4] LAI Y, WU Y, SHENG P, et al. Hybrid elastic solids [J]. Nature Materials, 2011, 10(8): 620-624.
[5] SIGALAS M, ECONOMOU E N. Elastic and acoustic wave band structure [J]. Journal of Sound and Vibration, 1992, 158 (2): 377-382.
[6] 温熙森,温激鸿,郁殿龙,等.声子晶体[M].北京:国防工业出版社,2009.
WIN Xisen, WEN Jihong, YU Dianlong, et al. Phononic Crystals [M]. Beijing: Defense Industry Press, 2009.
[7] LIN S C S, Huang T J. Tunable phononic crystals with anisotropic inclusions [J]. Physical Review B, 2011, 83(17): 174303-9.
[8] ZHAO Yancheng, ZHAO Fang, YUAN Libo. Numerical analysis of acoustic band gaps in two-dimensional periodic materials [J]. Journal of Marine Science and Application, 2005, 4(4): 65-69.
[9] 李黎. 基于带隙原理的梁类结构振动传播抑制技术研究[D].长沙:国防科学技术大学,2006.
Li Li. Research on the Technique of Restraining the Propagation of Vibration in Beams Using the Theory of Band Gap [D]. Changsha: University of National Defense Science and Technology, 2006.
[10] 徐丽.二维声子晶体振动带隙的最佳参数分析[J].人工晶体学报,2014,43(3):698-703.
XU Li.Analysis of optimum parameters for vibration bands of two-dimensional phononic crystals [J]. Journal of Intraocular Crystals, 2014, 43 (3): 698-703.
[11] 张明.不同参数声子晶体第一完全带隙影响因素研究[J].人工晶体学报,2014,43(3):682-687.
ZHANG Ming.Study on the factor parameters of the first complete band gap in phononic crystal [J]. Journal of Intraocular Crystals, 2014, 43 (3): 682-687.
[12] 张昭,韩星凯,苏开创.基于声子晶体带隙特性的薄板减振设计[J].人工晶体学报,2016,45(4):872-879.
ZHANG Zhao, HAN Xingkai, SU Kaichuang. Vibration reduction design of thin plate based on band gap features of phononic crystals [J]. Journal of Intraocular Crystals, 2016, 45 (4): 872-879.
[13] 赵元年,孙小伟,廖涛,等.二维固-固Suzuki晶格声子晶体薄板弯曲振动特性的研究[J].西北师范大学学报(自然科学版),2017,53(4):42-47.
ZHAO Yuannian, SUN Xiaowei, LIAO Tao, et al. Study of the bending vibration characteristic of two-dimensional solid-solid Suzuki phase phononic crystal thin plates [J]. Journal of Northwest Normal University (Natural Science), 2017, 53 (4): 42-47.
[14] 姜超君,向阳,张波,等.二维声子晶体带隙特性分析与应用研究[J].噪声与振动控制,2018,38(4):6-11.
JIANG Chaojun, XIANG Yang, ZHANG Bo, et al. Analysis and application of band gap characteristics of two-dimensional sonic crystals [J]. Noise and Vibration Control, 2018, 38 (4): 6-11.
[15] 阮晓辉. 周期性开孔阻尼结构的减振特性与应用研究[D]. 武汉:湖北工业大学,2012.
RUAN Xiaohui. Research and Application of the Structure with Periodically Perforated Damping [D]. Wuhan: Hubei University of Technology, 2012.
[16] XU Y L, TIAN X G, CHEN C Q. Band structures of two dimensional solid /air hierarchical phononic crystals[J]. Physical B: Condensed Matter,2012,407(12) :1995-2001. |