二维声子晶体带隙特性分析与应用研究
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摘要
声子晶体在减振方面拥有广泛应用前景,而带隙分析是将其付诸应用的首要前提。先利用有限元法研究结构与材料参数对带隙的影响,接着基于带隙特性分析的结果,根据实验所得的典型船用离心泵机脚的振动特性,设计以硅橡胶为基体、铅为散射体的声子晶体薄板。将声子晶体引入舱段减振设计中并进行相应的数值响应验证,结果表明:将所设计的声子晶体薄板插入舱段的内底板,在带隙作用范围内可有效阻抑振动传递,并降低舱段外壳的振动响应。
Sonic crystal has great prospects in vibration damping, while the analysis of band gap characteristics is the primary prerequisite. Therefore, the effects of structure and material parameters of the sonic crystal on band gap were studied with FE method in this paper. According to the results of the analysis of band gap characteristics and the vibration performance data of a ship centrifugal pump foundation from the test, the sonic crystal plate with silicone rubber as the matrix and lead as scatter was designed. The vibration damping of a cabin with sonic crystal was designed and studied through harmonic response calculation. The results show that a good inhibition of vibration can be gained when sonic crystal plate is used as elastic interlayers inside the bottom board and the vibration response of the cabin shell is reduced.
Sonic crystal has great prospects in vibration damping, while the analysis of band gap characteristics is the primary prerequisite. Therefore, the effects of structure and material parameters of the sonic crystal on band gap were studied with FE method in this paper. According to the results of the analysis of band gap characteristics and the vibration performance data of a ship centrifugal pump foundation from the test, the sonic crystal plate with silicone rubber as the matrix and lead as scatter was designed. The vibration damping of a cabin with sonic crystal was designed and studied through harmonic response calculation. The results show that a good inhibition of vibration can be gained when sonic crystal plate is used as elastic interlayers inside the bottom board and the vibration response of the cabin shell is reduced.
引文
[1]张研,韩林,蒋林华.声子晶体的计算方法与带隙特性[M].北京:科学出版社,2014:1.
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[7]魏振东,李宝仁,杜经民,等.基于声子晶体理论的舰船液压管路支承用隔振器轴向振动带隙特性研究[J].机械工程学报,2016,52(15):91-97.
[8]陈圣兵,王刚.可调谐局域共振梁带隙模型改进[J].振动与冲击,2017,36(14):121-125.
[9]XIN NING,SERGIO PELLEGRINO.Bloch wave bucking analysis of axially loaded periodic cylindrical shells[J].Computers and Structures,2016,177:114-125.
[10]MEI JUN,MA GUANGCONG,YANG MIN,et al.Dark acoustic metamaterials as super absorbers for lowfrequency sound[J].Nature Communications,2012,3(3):756-762.
[11]计方,路晓东,姚熊亮.船体结构粘弹性夹层阻抑振动波传递特性研究[J].应用基础与工程科学学报,2012,20(3):464-471.
[2]HUANG J,YIN J,ZHANG S.Propagation properties of elastic waves in a stacking composite material like nacre[J].Journal of Vibration and Shock,2014,33(24):88-128.
[3]温激鸿.声子晶体振动带隙及减振特性研究[D].长沙:国防科技大学,2005.
[4]ZHAO H J,LIU R Q,GUO H D,et al.Effects of material parameters on flexural vibration band gaps of thin phononic crystals plates[J].Journal of Synthetic Crystal,2014,43(11):2846-3851.
[5]张昭,韩星凯,苏开创,等.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.
[6]SOE KNUDSEN A,SOROKIN S V.Modelling of linear wave propagation in spatial fluid filled pipe systems consisting of elastic curved and straight elements[J].Journal of Sound and Vibration,2010(329):5116-5142.
[7]魏振东,李宝仁,杜经民,等.基于声子晶体理论的舰船液压管路支承用隔振器轴向振动带隙特性研究[J].机械工程学报,2016,52(15):91-97.
[8]陈圣兵,王刚.可调谐局域共振梁带隙模型改进[J].振动与冲击,2017,36(14):121-125.
[9]XIN NING,SERGIO PELLEGRINO.Bloch wave bucking analysis of axially loaded periodic cylindrical shells[J].Computers and Structures,2016,177:114-125.
[10]MEI JUN,MA GUANGCONG,YANG MIN,et al.Dark acoustic metamaterials as super absorbers for lowfrequency sound[J].Nature Communications,2012,3(3):756-762.
[11]计方,路晓东,姚熊亮.船体结构粘弹性夹层阻抑振动波传递特性研究[J].应用基础与工程科学学报,2012,20(3):464-471.