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流固耦合的周期加强板的振动及声辐射研究

周海安, 王晓明, 梅玉林

周海安, 王晓明, 梅玉林. 流固耦合的周期加强板的振动及声辐射研究[J]. 力学学报, 2012, 44(2): 287-296. DOI: 10.6052/0459-1879-2012-2-20120212
引用本文: 周海安, 王晓明, 梅玉林. 流固耦合的周期加强板的振动及声辐射研究[J]. 力学学报, 2012, 44(2): 287-296. DOI: 10.6052/0459-1879-2012-2-20120212
Zhou Haian, Wang Xiaoming, Mei Yulin. HEORETICAL ANALYSIS OF THE VIBRATION AND SOUND RADIATION FROM AN INFINITE FLUID-STRUCTURE COUPLED PLATE STIFFENED BY TWO-DIMENSIONAL PERIODIC STRUCTURES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 287-296. DOI: 10.6052/0459-1879-2012-2-20120212
Citation: Zhou Haian, Wang Xiaoming, Mei Yulin. HEORETICAL ANALYSIS OF THE VIBRATION AND SOUND RADIATION FROM AN INFINITE FLUID-STRUCTURE COUPLED PLATE STIFFENED BY TWO-DIMENSIONAL PERIODIC STRUCTURES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 287-296. DOI: 10.6052/0459-1879-2012-2-20120212
周海安, 王晓明, 梅玉林. 流固耦合的周期加强板的振动及声辐射研究[J]. 力学学报, 2012, 44(2): 287-296. CSTR: 32045.14.0459-1879-2012-2-20120212
引用本文: 周海安, 王晓明, 梅玉林. 流固耦合的周期加强板的振动及声辐射研究[J]. 力学学报, 2012, 44(2): 287-296. CSTR: 32045.14.0459-1879-2012-2-20120212
Zhou Haian, Wang Xiaoming, Mei Yulin. HEORETICAL ANALYSIS OF THE VIBRATION AND SOUND RADIATION FROM AN INFINITE FLUID-STRUCTURE COUPLED PLATE STIFFENED BY TWO-DIMENSIONAL PERIODIC STRUCTURES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 287-296. CSTR: 32045.14.0459-1879-2012-2-20120212
Citation: Zhou Haian, Wang Xiaoming, Mei Yulin. HEORETICAL ANALYSIS OF THE VIBRATION AND SOUND RADIATION FROM AN INFINITE FLUID-STRUCTURE COUPLED PLATE STIFFENED BY TWO-DIMENSIONAL PERIODIC STRUCTURES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 287-296. CSTR: 32045.14.0459-1879-2012-2-20120212

流固耦合的周期加强板的振动及声辐射研究

基金项目: 国家自然科学基金资助项目(50475150, 50875030, 10872039, 90816025).
详细信息
  • 中图分类号: TB532

HEORETICAL ANALYSIS OF THE VIBRATION AND SOUND RADIATION FROM AN INFINITE FLUID-STRUCTURE COUPLED PLATE STIFFENED BY TWO-DIMENSIONAL PERIODIC STRUCTURES

Funds: The project was supported by the National Natural Science Foundation of China (50475150, 50875030, 10872039, 90816023).
  • 摘要: 研究了流体负载下的无穷大双周期加强板, 在周期谐振力作用下的振动响应和声辐射,并提出了一种基于有限元和空间波数法的半解析半数值方法. 首先利用有限元的方法对周期结构进行单元离散, 并将结构对薄板的作用力等效为节点力的作用. 然后通过周期结构的振动方程, 结合薄板与结构的位移边界条件, 建立了节点力与薄板节点位移的函数方程. 最后应用空间波数法和傅里叶变换, 并采用数值计算的方法求解出薄板的节点位移, 得到了周期加强板关于离散节点位移的振动和辐射声压方程. 在数值算例中, 对该方法的正确性进行了验证, 并且分析了周期结构对薄板的振动和声辐射的影响.
    Abstract: The vibration response of and sound radiation from an infinite fluid-loaded plate, stiffened by two dimensional periodically spaced structures and excited by a time-dependent plane harmonic pressure, are investigated in this paper. A semi-analytical approach based on the finite element method (FEM) and space harmonic method to study the stiffened plate is also presented. To obtain the reaction forces of the periodic structures acting on the plate, the FEM is applied by discretizing each structure into a sufficient number of elements and nodal points, and the reaction forces are approximated by the equivalent nodal forces. Then using the vibration equations of the periodic structures combined with the displacement boundary conditions between them and the plate, the nodal forces are expressed in terms of the corresponding discrete point displacements of the plate. Based on the space harmonic method and Fourier transforms, the vibro-acoustic equations of the stiffened plate are finally derived as functions of these point displacements of the plate, which are calculated numerically. In numerical examples, the validity of the present approach is demonstrated and the effects of the periodic structures on the vibro-acoustic responses of the plate are also analyzed.
  • 1 Mead DJ, Pujara KK. Space harmonic analysis of periodically supported beams: response to convected random loading. it Journal of Sound and Vibration,1971, 14(2): 525-532
    2 Mace B R. Sound radiation from fluid loaded orthogonally stiffened plates. it Journal of Sound and Vibration, 1981, 79(3): 439-452   
    3 吴文伟, 冷文浩, 沈顺根. 具有等间距相同加强筋板的声辐射. 中国造船, 1999,146(3): 72-81 (Wu Wenwei, Leng Wenhao, Shen Shungeng. Sound radiation of plate with equidistant reinforced ribs. it ShipBuilding of China, 1999,146(3): 72-81 (in Chinese))
    4 Rumerman ML. Vibration and wave propagation in ribbed plates. it Journal of the Acoustical Society of America, 1974, 96(2): 370-373
    5 Mead DJ. A new method of analyzing wave propagation in periodic structures: application to periodic Timoshenko beams and stiffened plates. it Journal of Sound and Vibration, 1986, 104(1): 9-27   
    6 Mace BR. Sound radiation from a plate reinforced by two sets of parallel stiffeners. it Journal of Sound and Vibration, 1980,71(3): 435-441   
    7 Eatwell G P, Butler D. The response of a fluid-loaded, beam-stiffened plate. it Journal of Sound and Vibration, 1982, 84(3): 371-388   
    8 张涛, 刘土光, 周晶晶等. 受面内冲击载荷下加筋板的非线性动态屈曲. 固体力学学报, 2003, 24(4): 391-398 (Zhang Tao, Liu Tuguang, Zhou Jingjing, et al. Nonlinear dynamic buckling of stiffened plates under in-plane impact loading. it Acta Mechanica Solida Sinica, 2003, 24(4): 391-398 (in Chinese))
    9 Maxit L. Wavenumber space and physical space responses of a periodically ribbed plate to a point drive: A discrete approach. it Applied Acoustics, 2009,70(4): 563-578   
    10 Wang J, Lu TJ, Woodhouse J, et al. Sound transmission through lightweight double-leaf partitions: theoretical modeling. it Journal of Sound and Vibration, 2005, 286: 817-847   
    11 Legault J, Atalla N. Numerical and experimental investigation of the effect of structural links on the sound transmission of a lightweight double panel structure. it Journal of sound and vibration, 2009, 324: 712-732   
    12 Legault J, Atalla N. Sound transmission through a double panel structure periodically coupled with vibration insulators. it Journal of sound and vibration, 2010, 329: 3082-3100   
    13 Xin FX, Lu TJ. Analytical modeling of wave propagation in orthogonally rib-stiffened sandwich structures: Sound radiation. it Computers and Structures, 2011, 89(5-6): 507-516
    14 Xin FX, Lu TJ. Analytical modeling of fluid loaded orthogonally rib-stiffened sandwich structures: sound transmission. it Journal of the Mechanics and Physics of Solids, 2010, 58(9): 1374-1396   
    15 Li FM, Wang YS, Hu C, et al. Localization of elastic waves in periodic rib-stiffened rectangular plates under axial compressive load. it Journal of Sound and Vibration, 2005, 281(1-2): 261-273   
    16 Yu GL, Wang YS, Lan J. Vibration localization in disordered periodically stiffened double-leaf panels. it Archive of Applied Mechanics,2010, 80(6): 687-697   
    17 Kaveh A, Nouri M, Taghizadieh N. An efficient solution method for the free vibration of large repetitive space structures. it Advances in Structural Engineering, 2011, 14(2): 151-161  
  • 期刊类型引用(1)

    1. 张博,孙东生,郑昊楷,史云帆,丁虎,陈立群. 旋转输流管拉弯扭耦合振动研究. 振动与冲击. 2025(04): 1-9+60 . 百度学术

    其他类型引用(3)

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  • 被引次数: 4
出版历程
  • 收稿日期:  2011-04-21
  • 修回日期:  2011-07-26
  • 刊出日期:  2012-03-17

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