周期性加肋板振动带隙研究
|
摘要
文章采用有限元方法计算研究了周期性加肋板结构的振动带隙和能带结构特性,研究了肋骨惯性矩、肋骨间距、肋骨密度、板材密度、板边长比等对结构带隙的影响,分析了周期性加肋板结构的频率响应函数,得出了一些有意义的结论,对周期性梁板类结构带隙特性在振动与噪声控制领域的应用提供了新的思路。
In this paper,the finite element method is used to compute vibration band gap and band structures of the two-dimensional thin plates with periodic ribs. The effects of moment of inertia and spacing of stiffeners, density of the stiffeners and thin plates, ration of length to width of the plate on the vibration band gap are studied, and response functions of these thin plates with periodic ribs are also studied. Some conclusions of significance are made. The results show that band gap properties of periodic stiffened plate might provide a new idea in promoting the research area of structural vibration and noise control.
In this paper,the finite element method is used to compute vibration band gap and band structures of the two-dimensional thin plates with periodic ribs. The effects of moment of inertia and spacing of stiffeners, density of the stiffeners and thin plates, ration of length to width of the plate on the vibration band gap are studied, and response functions of these thin plates with periodic ribs are also studied. Some conclusions of significance are made. The results show that band gap properties of periodic stiffened plate might provide a new idea in promoting the research area of structural vibration and noise control.
引文
[1]Jensen J S,Sigmund O,Thomsen J J,Bendsoe M P.Design of multi-phase structures with optimized vibrational and wave-transmitting properties[C].15th Nordic Seminar on Computational Mechanics,2002:63-66.
[2]王刚,温激鸿,刘耀宗,郁殿龙,赵宏刚.一维粘弹材料周期结构的振动带隙研究[J].机械工程学报,2004,40(7):47-50.Wang Gang,Wen Jihong,Liu Yaozong,Yu Dianlong,Zhao Honggang.Research on the viberation and gaps of one dimensional viscoelastic periodic sturctures[J].Chinese Journal of Mechanical Engineering,2004,40(7):47-50.
[3]Cremer L,Hekl M,Petersson B A T.Structure-Borne Sound[M].3rd edition.Berlin:Springer,2005.
[4]Mead D J.Markus5.Cou Pled flexural-longitudinal wave motion in a periodic beam[J].Journal of Sound and Vibration.1983,90(1):l-24.
[5]Mead D J.A new method of analyzing wave propagation in periodic structure:Applications to periodic Toshenkobeams and stiffened plates[J].Journal of Sound and Vibration,1986,104(1):927.
[6]Mead D J.Bardell N S.Free vibration of a thin cylindrical shell with diserete axial stiffeners[J].Journal of Sound and Vibration,1986,111(2):229-250.
[7]Mead D J.Bardell N S.Free vibration of a thin cylindrical shell with periodic circumferential stiffeners[J].Journal of Sound and Vibration,1987,111(2):499-520.
[8]Toso M.Wave propagation in rods shell and rotating shafts with non-uniform[D].Ph.D.thesis.University of Maryland,2004.
[9]Jeong S M.Analysis of vibration of 2-D periodic cellular structures[D].Ph.D.thesis.Georgia Institute of Technology,2005.
[10]Maynard J D.Wave propagation in arrays of scatterers,tutorial:Part 1[J].Acoustics Today,2008,4(4):12-21.
[2]王刚,温激鸿,刘耀宗,郁殿龙,赵宏刚.一维粘弹材料周期结构的振动带隙研究[J].机械工程学报,2004,40(7):47-50.Wang Gang,Wen Jihong,Liu Yaozong,Yu Dianlong,Zhao Honggang.Research on the viberation and gaps of one dimensional viscoelastic periodic sturctures[J].Chinese Journal of Mechanical Engineering,2004,40(7):47-50.
[3]Cremer L,Hekl M,Petersson B A T.Structure-Borne Sound[M].3rd edition.Berlin:Springer,2005.
[4]Mead D J.Markus5.Cou Pled flexural-longitudinal wave motion in a periodic beam[J].Journal of Sound and Vibration.1983,90(1):l-24.
[5]Mead D J.A new method of analyzing wave propagation in periodic structure:Applications to periodic Toshenkobeams and stiffened plates[J].Journal of Sound and Vibration,1986,104(1):927.
[6]Mead D J.Bardell N S.Free vibration of a thin cylindrical shell with diserete axial stiffeners[J].Journal of Sound and Vibration,1986,111(2):229-250.
[7]Mead D J.Bardell N S.Free vibration of a thin cylindrical shell with periodic circumferential stiffeners[J].Journal of Sound and Vibration,1987,111(2):499-520.
[8]Toso M.Wave propagation in rods shell and rotating shafts with non-uniform[D].Ph.D.thesis.University of Maryland,2004.
[9]Jeong S M.Analysis of vibration of 2-D periodic cellular structures[D].Ph.D.thesis.Georgia Institute of Technology,2005.
[10]Maynard J D.Wave propagation in arrays of scatterers,tutorial:Part 1[J].Acoustics Today,2008,4(4):12-21.