质量块-支架梁局域共振板结构的低频振动带隙特性研究
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摘要
采用数值方法对质量块-支架梁声子晶体板结构进行振动带隙特性分析,设计4种质量块-支架梁局域共振板结构模型,分析得出带隙比较好的模型.然后改变该模型结构的材料和尺寸参数,调节模型的带隙范围,实现了对低频振动的有效控制,并通过数值仿真与试验测试验证了这种板结构的振动带隙现象.文中设计的结构模型在71.3～120 Hz内可以产生带隙,具有较为优越的低频振动特性,这为薄壳结构的低频振动控制提供了有效方法.
In this paper, the vibration band gap characteristics of mass block-support beam phononic crystal plate are analyzed by numerical method. Four mass block-support beam local resonance plate structure models are designed, and the best model of band gap is obtained. Then the material and size parameters of the model are changed, and the band gap of the model is adjusted to achieve effective control of low frequency vibration. The vibration band gap of the plate structure is verified by numerical simulation and experimental tests. The structural model designed in this paper can produce band gap in 71.3～120 Hz, which has superior low frequency vibration characteristics, providing an effective method for low frequency vibration control of thin shell structures.
In this paper, the vibration band gap characteristics of mass block-support beam phononic crystal plate are analyzed by numerical method. Four mass block-support beam local resonance plate structure models are designed, and the best model of band gap is obtained. Then the material and size parameters of the model are changed, and the band gap of the model is adjusted to achieve effective control of low frequency vibration. The vibration band gap of the plate structure is verified by numerical simulation and experimental tests. The structural model designed in this paper can produce band gap in 71.3～120 Hz, which has superior low frequency vibration characteristics, providing an effective method for low frequency vibration control of thin shell structures.
引文
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[23]温华兵,范紫岩,昝浩.基于MR阻尼器的单自由度系统减振特性分析[J].江苏科技大学学报(自然科学版),2015,29(1):46-51.10.3969/j.issn.1673-4807.2015.01.008.WEN Huabing,FAN Ziyan,ZAN Hao.Analysis of damping characteristics of a system of single degree of freedom based on magneto-rheological dampers[J].Journal of Jiangsu University of Science and Technology(Natural Science Edition),2015,29(1):46-51.DOI:10.3969/j.issn.1673-4807.2015.01.008.(in Chinese)
[2]SONG R,WANG K,HAN W,et al.Theoretical investigation of acoustic band gaps in cylindrical periodically layered structure[J].Journal of Low Frequency Noise Vibration&Active Control,2009,28(3):185-195.DOI:10.1260/026309209790252563.
[3]SHENG P,ZHANG X X,LIU Z,et al.Locally resonant sonic materials[J].Physica B Condensed Matter,2000,289(5485):1734.DOI:10.1126/science.289.5485.1734.
[4]XIA B,CHEN N,XIE L,et al.Temperature-controlled tunable acoustic metamaterial with active band gap and negative bulk modulus[J].Applied Acoustics,2016,112:1-9.DOI:10.1016/j.apacoust.2016.05.005.
[5]LI L,CHEN T,WU J,et al.A discretized multi-freedom-degree model for predicting the lowest local resonant gap in phononicstructures[J].Journal of Vibration&Control,2014,20(11):1727-1734.DOI:10.1177/1077546313479988.
[6]SHU H S,LIU W,LI S D.Research on flexural wave band gap of a thin circular plate of piezoelectric radial phononiccrystals[J].Journal of Vibration&Control,2014,22(7):1-17.DOI:10.1177/1077546314544694.
[7]ZUO S,NI T,WU X,et al.Studies of band gaps in flexural vibrations of a locally resonant beam with novel multi-oscillator configuration[J].Journal of Vibration&Control,2015,23(10):1-12.DOI:10.1177/1077546315598032.
[8]CHEN R,WU T.Vibration reduction in a periodic truss beam carrying locally resonant oscillators[J].Journal of Vibration&Control,2014,22(1):270-285.DOI:10.1177/1077546314528020.
[9]SHELKE A,BANERJEE S,HABIB A,et al.Wave guiding and wave modulation using phononic crystal defects[J].Journal of Intelligent Material Systems&Structures,2014,25(13):1541-1552.
[10]LIU X F,WANG Y F,WANG Y S,et al.Wave propagation in a sandwich plate with a periodic composite core[J].Journal of Sandwich Structures&Materials,2014,16(3):319-338.DOI:10.1177/1099636214528652.
[11]赵寰宇,严珠妹,盖晓玲,等.复式晶格声子晶体的多带隙实验研究[J].振动与冲击,2017,36(11):129-133.10.13465/j.cnki.jvs.2017.11.020.ZHAO Huanyu,YAN Zhumei,GAI Xiaoling,et al.Experimental study on multi-complete bandgaps of a complex lattice phononic crystal[J].Journal of Vibration and Shock,2017,36(11):129-133.DOI:10.13465/j.cnki.jvs.2017.11.020.(in Chinese)
[12]GAO N,WU J H,YU L.Research on bandgaps in two-dimensional phononic crystal with two resonators[J].Ultrasonics,2015,56:287-293.DOI:10.1016/j.ultras.2014.08.006.
[13]ZHU Xingyi,ZHONG Sheng,ZHAO Hongduo.Band gap structures for viscoelastic phononic crystals based on numerical and experimental investigation[J].Applied Acoustics,2016,106:93-104.DOI:10.1016/j.apacoust.2016.01.007.
[14]LIU Mao,XIANG Jiewei,ZHONG Yongteng.The band gap and transmission characteristics investigation of local resonant quaternary phononic crystals with periodic coating[J].Applied Acoustics,2015,100:10-17.DOI:10.1016/j.apacoust.2015.06.019.
[15]JIANG Genshan,LIU Yuechao,WU Yapan,et al.Transmission and radiation of acoustic oblique incident through tube arrays based on phononic crystals theory[J].Applied Acoustics,2017,116:117-126.DOI:10.1016/j.apacoust.2016.09.020.
[16]HUANG X,SU J,REN L,et al.Development of curved beam periodic structure in broadband resonance suppression for cylindrical shell structure[J].Journal of Vibration&Control,2017,23(8):1267-1284.DOI:10.1177/1077546315591648.
[17]LEE H M,LIM K M,LEE H P.Environmental and sound divergence effects on the performance of rectangular sonic crystals with Helmholtz resonators[J].Journal of Vibration&Control,2017,28(4):167-171.DOI:10.1177/1077546316688422.
[18]ZHANG Y,HE J,JIANG L H.Flexural vibration band gaps characteristics in phononic crystal euler beams on two-parameter foundation[J].Advances in Mechanical Engineering,2013,2013(3):953-956.DOI:10.1155/2013/935258.
[19]WU Z J,LI F M.Spectral element method and its application in analysing the vibration band gap properties of two-dimensional square lattices[J].Journal of Vibration&Control,2014,22(3):1-12.DOI:10.1177/1077546314531805.
[20]ZHANG Y,KANG X W,JIANG L H,et al.Vibration attenuation in two-link flexible mechanical arms with periodic composite materials[J].Advances in Mechanical Engineering,2015,7(3):1-8.10.1177/1687814015573827.
[21]沈惠杰,李雁飞,苏永生,等.舰船管路系统声振控制技术评述与声子晶体减振降噪应用探索[J].振动与冲击,2017,36(15):163-170.10.13465/j.cnki.jvs.2017.15.025.SHEN Huijie,LI Yanfei,SU Yongsheng,et al.Review of sound and vibration control techniques for ship piping systems and exploration of photonic crystals applied in noise and vibration reduction[J].Journal of Vibration and Shock,2017,36(15):163-170.DOI:10.13465/j.cnki.jvs.2017.15.025.(in Chinese)
[22]温华兵,仲启东.高弹性联轴器结构振动传递特性试验研究[J].江苏科技大学学报(自然科学版),2015,29(3):251-255.DOI:10.3969/j.issn.1673-4087.2015.03.009.WEN Huabing,ZHONG Qidong.Research on the vibration transmission characteristics of the high elastic coupling[J].Journal of Jiangsu University of Science and Technology(Natural Science Edition),2015,29(3):251-255.DOI:10.3969/j.issn.1673-4087.2015.03.009.(in Chinese)
[23]温华兵,范紫岩,昝浩.基于MR阻尼器的单自由度系统减振特性分析[J].江苏科技大学学报(自然科学版),2015,29(1):46-51.10.3969/j.issn.1673-4807.2015.01.008.WEN Huabing,FAN Ziyan,ZAN Hao.Analysis of damping characteristics of a system of single degree of freedom based on magneto-rheological dampers[J].Journal of Jiangsu University of Science and Technology(Natural Science Edition),2015,29(1):46-51.DOI:10.3969/j.issn.1673-4807.2015.01.008.(in Chinese)