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Characteristics of vibration and sound field radiated by a thin cracked plate in water(PDF)

长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2010年01期
Page:
105-110
Research Field:
Publishing date:
2010-02-20

Info

Title:
Characteristics of vibration and sound field radiated by a thin cracked plate in water
Author(s):
YANG Fu-she1; 2;  SHI Huan-wen1;  CHEN Kuan-min2
1. School of Science, Chang'an University, Xi'an 710064, Shaanxi, China; 2. School of Highway, Chang'an University, Xi'an 710064, Shaanxi, China
Keywords:
finite element method(FEM);  vibration frequency of a circular plate with a crack in water;  nondimensionalized added virtual mass incremental;  modal radiation efficiency
PACS:
TB53; U491.910
DOI:
-
Abstract:
In order to investigate the characteristics of the vibration and radiation of a thin cracked plate in water, a simple computational method for the vibration frequencies of a thin clamped baffled plate with an artificial crack in water is described. Under the conditions that the plate vibrates in small amplitude and the modal deflection in water equals that in vacuo, the added mass density due to the water pressure is expressed using Rayleigh's integral. Then the relationship among vibration frequency of the plate in water and that in vacuo and the nondimensionalized added virtual mass incremental(NAVMI)is obtain by utilizing Rayleigh method. Based upon the data of modal analysis for the plate in vacuo by finite element method(FEM)and properly dealing with the integral at singular dot, the value of NAVMI is obtained by discretizing the integral. Moreover the vibration frequencies of the plate is computed using iterative method, which begins with the in vacuo eigenfrequency and continues until in-water eigenfrequency converges. The present approach is validated by comparison the NAVMI computed here with the results of fathers. 9 tabs, 2 figs, 17 refs.

References:

[1] Giordano J A,Hoopmann G H.State space boundary element-finite element coupling for fluid-structure interaction analysis[J].Journal of the Acoustical Society of America,1995,98(1):363-372.
[2]Mccollum M D,Siders C M.Modal analysis of a structure in a compressible fluid using a finite element/boundary element approach[J].Journal of the Acoustical Society of America,1996,99(4):1949-1957.
[3]Geers T L,Felippa C A.Doubly asymptotic approximations for vibration analysis of submerged structures[J].Journal of the Acoustical Society of America,1983,73(4):1152-1159.
[4]Mathews I C.Numerical techniques for three dimensional steady-state fluid-structure interaction[J].Journal of the Acoustical Society of America,1986,79(5):1317-1325.
[5]Everstine G C,Henderson F M.Coupled finite element/boundary element approach for fluid-structure interaction[J].Journal of the Acoustical Society of America,1990,87(5):1938-1947.
[6]Nelisse H,Beslin O,Nicolas J.A generalized approach for the acoustic radiation from a baffled or unbaffled plate with arbitrary boundary conditions,immersed in a light or heavy fluid[J].Journal of Sound and Vibration,1998,211(2):207-225.
[7]Chang T P.On the frequency of a rectangular isotropic plate in contact with fluid[J].Journal of Sound and Vibration,2000,236(3):547-553.
[8]赵 键.薄板和不可压流体耦合振动的边界元法研究[J].中山大学学报:自然科学版,1996; 35(1):7-11. ZHAO Jian.Research on BEM for coupled vibration of thin plate and incompressible fluid[J].Journal of Zhongshan University:Natural Science Edition,1996,35(1):7-11.
[9]Snyder S D,Tanaka N.Calculating total acoustic power output using modal radiation efficiencies[J].Journal of the Acoustical Society of America,1995,97(3):1702-1709.
[10]Muthuveerappan G,Ganesan N,Veluswami M A.Vibration of square cantilever plate immersed in water[J].Journal of Sound and Vibration,1978,61(3):467-470.
[11]王沫然.MATLAB与科学计算[M].北京:电子工业出版社,2004.
[12]黎 胜,赵德有.用有限元/边界元方法进行结构声辐射的模态分析[J].声学学报,2001,26(2):174-179. LI Sheng,ZHAO De-you.Modal analysis of structural acoustic radiation using FEM/BEM.[J].Acta Acustica,2001,26(2):174-179.
[13]Montero D E F,Gauego J J A.On the frequencies of water-loaded circular plates[J].Journal of Sound and Vibration,1984,94(2):217-222.
[14]Kwak M K.Effect of fluid depth on the hydroelastic vibration of free-edge circular plate[J].Journal of Sound and Vibration,2000,230(1):171-185.
[15]Kwak M K.Hydroelastic vibration of circular plate[J].Journal of Sound and Vibration,1997,201(3):293-303.
[16]Kwak M K.Hydroelastic vibration of free-edge annular plates[J].Journal of Vibration and Acoustics,1999,121(1):26-32.
[17]石焕文,杨富社,盛美萍,等.加环筋轴对称壳体振动声辐射特性[J].长安大学学报:自然科学版,2008,28(6):100-106. SHI Huan-wen,YANG Fu-she,SHENG Mei-ping,et al.Characteristics of vibration and sound field of axisymmetric shell with stiffening rings[J].Journal of Chang'an University:Natural Science Edition,2008,28(6):100-106.

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Last Update: 2010-02-20