含功能梯度材料的周期管路振动特性研究
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摘要
以管路振动控制为目标,研究了含功能梯度材料的周期管路振动特性研究。利用有限元法计算功能梯度材料管路的带隙特性和应力分布情况。深入分析了影响功能梯度材料管路带隙特性的因素,包括单元内功能梯度材料管路长度,过渡函数性质,研究表明功能梯度材料能有效调节经典周期管路的带隙特性;同时功能梯度材料可以有效减弱周期管路不同材料界面处应力集中问题。研究结果为带隙调节和消除应力集中提供了一个新思路。
In order to control the vibration of a pipe,the vibration properties of a periodic beam with functionally graded material( FGM) were investigated. Based on the finite element method,the band gap of the periodic pipeline with functionally graded materials was calculated. The properties of tunable band gap of FGM were discussed Results show that a considerable stress concentration can be alleviated by the application of the FGM. The results reveal that the band gap of classic periodic pipeline can be improved as well as the stress concentration problem because of the functionally graded materials. The FGMs can be used to provide a new way for tunable band gap and eliminating the stress concentration.
In order to control the vibration of a pipe,the vibration properties of a periodic beam with functionally graded material( FGM) were investigated. Based on the finite element method,the band gap of the periodic pipeline with functionally graded materials was calculated. The properties of tunable band gap of FGM were discussed Results show that a considerable stress concentration can be alleviated by the application of the FGM. The results reveal that the band gap of classic periodic pipeline can be improved as well as the stress concentration problem because of the functionally graded materials. The FGMs can be used to provide a new way for tunable band gap and eliminating the stress concentration.
引文
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[15]沈惠杰.基于带隙理论的管路系统振动特性研究[D].长沙:国防科学技术大学,2009.
[16]张亚峰.声子晶体管路减振降噪研究[D].长沙:国防科学技术大学,2014.
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[18]ZHANG Hao,WEN Jihong,XIAO Yong,et al.Sound transmission loss of metamaterial thin plates with periodic subwavelength arrays of shunted[J].Journal of Sound and Vibration,2015,343:104-120.
[19]ZHANG Hao,XIAO Yong,WEN Jihong,et al.Ultra-thin smart acoustic metasurface for low-frequency sound insulation[J].Applied Physics Letters,2016,108(14):1734.
[20]MEI J,MA G,YANG M,et al.Dark acoustic metamaterials as super absorbers for low-frequency sound[J].Nature Communications,2012,3(2):132-136.
[21]NAIFY C J,CHANG C M,MCKNIGHT G,et al.Membrane-type matamaterials:Transmission loss of multicelled arrays[J].Journal of Applied Physics,2011,109(10):104902-104902-9.
[2]陈刚,朱石坚.管壁不连续对管路结构振动传递的影响[J].海军工程大学学报,2004,16(2):40-43CHEN GANG,ZHU Shijian.Effects of discontinuity of pipe wall on transmission coefficient of pure torsion wave[J].Journal of Naval University of Engineering,2004,16(2):40-43
[3]方丹群,张斌,孙家麒,等.噪声控制(上册)[M].北京:科学出版社,2013,4:848-863
[4]沈惠杰,温激鸿,郁殿龙,等.基于Timoshenko梁模型的周期充液管路弯曲振动带隙特性和传输特性[J].物理学报,2009,12(8):257-263.SHEN Huijie,WEN Jinhong,YU Dianlong,et al.Flexural vibration property of periodic pipe system conveying fluid based on Timoshenko beam equation[J].Acta Physics Sinica,2009,12(8):257-263.
[5]SHAHBA A,ATTARNEJAD R,TAVANAIE MARVI M,et al.Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and nonclassical boundary conditions[J].Composites Part B Engineering,2011,42(4):801-808.
[6]BEREZOVSKI A,ENGELBRECHT J,MAUGIN G A.Numerical simulation of two-dimensional wave propagation in functionally graded materials[J].European Journal of Mechanics A/Solids,2003,22(2):257-265.
[7]BRUCK H A.A one-dimensional model for designing functionally graded materials to manage stress waves[J].International Journal of Solids&Structures,2000,37(44):6383-6395.
[8]吴晓,罗佑新.用Timoshenko梁修正理论研究功能梯度材料梁的动力响应[J].振动与冲击,2011,30(10):245-248.WU Xiao,LUO Youxin.Dynamic responses of beam with functionally graded materials with Timoshenko beam correction theory[J].Journal of Vibration and Shock,2011,30(10):245-248.
[9]YANG Quanquan,GAO Cunfa,CHEN Wentao.Stress concentration in a finite functionally graded material plate[J].Science China Physics Mechanics&Astronomy,2012,55(7):1263-1271.
[10]SHEN H J,WEN J H,PADOUSSIS M P,et al.Control of sound and vibration for cylindrical shells by utilizing a periodic structure of functionally graded material[J].Physics Letters A,2012,376(45):3351-3358.
[11]WU Meling,WU Liangyu,YANG Wenpei,et al.Elastic wave band gaps of one-dimensional phononic crystals with functionally graded materials[J].Smart Materials&Structures,2009,18(11):269-273.
[12]CHAKRABORTY A,GOPALAKRISHNAN S.A spectrally formulated finite element for wave propagation analysis in functionally graded beams[J].International Journal of Solids and Structures,2003,40(10):2421-2448.
[13]SHAHBA A,RAJASEKARAN S.Free vibration and stability of taperes Euler-Bernouli beams made of axially functionally graded materials[J].Applied Mathematical Modelling,2012,36(7):3094-3111.
[14]KUKLA S,RYCHLEWSKA J.Free vibration analysis of functionally graded beams[J].Journal of Applied Mathematics&Computational Mechanics,2013,12(2):39-44.
[15]沈惠杰.基于带隙理论的管路系统振动特性研究[D].长沙:国防科学技术大学,2009.
[16]张亚峰.声子晶体管路减振降噪研究[D].长沙:国防科学技术大学,2014.
[17]中仿科技公司.COMSOL Multiphysics有限元法多物理场建模与分析[M].北京:人民交通出版社,2007.
[18]ZHANG Hao,WEN Jihong,XIAO Yong,et al.Sound transmission loss of metamaterial thin plates with periodic subwavelength arrays of shunted[J].Journal of Sound and Vibration,2015,343:104-120.
[19]ZHANG Hao,XIAO Yong,WEN Jihong,et al.Ultra-thin smart acoustic metasurface for low-frequency sound insulation[J].Applied Physics Letters,2016,108(14):1734.
[20]MEI J,MA G,YANG M,et al.Dark acoustic metamaterials as super absorbers for low-frequency sound[J].Nature Communications,2012,3(2):132-136.
[21]NAIFY C J,CHANG C M,MCKNIGHT G,et al.Membrane-type matamaterials:Transmission loss of multicelled arrays[J].Journal of Applied Physics,2011,109(10):104902-104902-9.