水中有限长功能梯度材料圆柱壳声辐射研究
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摘要
研究了径向简谐集中力激励下的水中功能梯度复合材料有限长圆柱壳的振动和声辐射问题。从有限长功能梯度材料振动方程出发,利用模态叠加法,推导出了圆柱壳在径向集中力激励下,平面振动平均振速和声辐射效率表达式。通过数值仿真计算了不同梯度指数下圆柱壳的平均振速、辐射功率和辐射效率。为功能梯度材料圆柱壳声辐射的研究提供了一种有效方法。
Sound radiation from a submerged functionally gradient material cylindrical shell excited by harmonic point radial force is considered.Based on the vibration equation of finite FGM cylindrical shell,the expression of mean radial quadratic velocity and sound radiation efficiency by modal analysis method have been derived on the condition that it is excited by a radial harmonic point force.Finally,the relationships between mean radial quadratic velocity and frequency,between radiated sound power and frequency,and between radiation efficiency and frequency are numerical solved under various gradient index of FGM cylindrical shell.
Sound radiation from a submerged functionally gradient material cylindrical shell excited by harmonic point radial force is considered.Based on the vibration equation of finite FGM cylindrical shell,the expression of mean radial quadratic velocity and sound radiation efficiency by modal analysis method have been derived on the condition that it is excited by a radial harmonic point force.Finally,the relationships between mean radial quadratic velocity and frequency,between radiated sound power and frequency,and between radiation efficiency and frequency are numerical solved under various gradient index of FGM cylindrical shell.
引文
[1]Masayuki Niino,Shuhei Maeda.Recent development status of functionally gradient materials[J].ISIJ International,1990,30(9):699-703.
[2]Prakash T,Ganapathi M.Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method[J].Composites Part B:Engineering,2006,37:642-649.
[3]Ritesh Samadhiya,Abhijit Mukherjee,Siegfried Schmauder.Characterization of discretely graded materials using acoustic wave propagation[J].Computational Materials Science,2006,37:20-28.
[4]曹志远.功能梯度复合材料圆柱壳固有频率解[J].地震工程与工程振动,2005,26(6):38-42.
[5]曹志远.功能梯度复合材料圆柱壳基本理论及长壳固有振动解[J].玻璃钢/复合材料,2006,4:3-6.
[6]曹志远.不同边界条件功能梯度矩形板固有频率解的一般表达式[J].复合材料学报,2005,22(5):172-177.
[7]汤渭霖,何兵蓉.水中有限长加肋圆柱壳体振动和声辐射近似解析解[J].声学学报,2001,26(1):1-5.
[8]Junger M C,Feit D.Sound,structures and their interaction[M].2ed.Cambridge:The MIT Press,1986.
[9]Laulagnet B,Guyader J L.Modal analysis of a shell's acoustic radiation in light and heavy fluids[J].Journal of Sound and Vibra-tion,1989,131(3):397-415.
[10]Laulagnet B,Guyader J L.Sound radiation from finite cylindrical coated shells,by means of asymptotic expansion of three di-mension equations for coating[J].Journal of the Acoustical Society of America,1994,96:277-286.
[11]Stephanishen P R.Modal coupling in the vibration and fluid-loaded cylindrical shells[J].Journal of the Acoustical Society of America,1982,71:813-823.
[12]Wu C J,Chen HL,Huang XQ.Vibroacoustic analysis of a fluid-loaded cylindrical shell excited by a rotating load[J].Journal of sound and vibration,1999,225(1):79-94.
[13]Wu Lanhe.Thermal buckling of a simply supported moderately thick rectangular FGM plate[J〗.Composite Structures,2004,64:211-218.
[2]Prakash T,Ganapathi M.Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method[J].Composites Part B:Engineering,2006,37:642-649.
[3]Ritesh Samadhiya,Abhijit Mukherjee,Siegfried Schmauder.Characterization of discretely graded materials using acoustic wave propagation[J].Computational Materials Science,2006,37:20-28.
[4]曹志远.功能梯度复合材料圆柱壳固有频率解[J].地震工程与工程振动,2005,26(6):38-42.
[5]曹志远.功能梯度复合材料圆柱壳基本理论及长壳固有振动解[J].玻璃钢/复合材料,2006,4:3-6.
[6]曹志远.不同边界条件功能梯度矩形板固有频率解的一般表达式[J].复合材料学报,2005,22(5):172-177.
[7]汤渭霖,何兵蓉.水中有限长加肋圆柱壳体振动和声辐射近似解析解[J].声学学报,2001,26(1):1-5.
[8]Junger M C,Feit D.Sound,structures and their interaction[M].2ed.Cambridge:The MIT Press,1986.
[9]Laulagnet B,Guyader J L.Modal analysis of a shell's acoustic radiation in light and heavy fluids[J].Journal of Sound and Vibra-tion,1989,131(3):397-415.
[10]Laulagnet B,Guyader J L.Sound radiation from finite cylindrical coated shells,by means of asymptotic expansion of three di-mension equations for coating[J].Journal of the Acoustical Society of America,1994,96:277-286.
[11]Stephanishen P R.Modal coupling in the vibration and fluid-loaded cylindrical shells[J].Journal of the Acoustical Society of America,1982,71:813-823.
[12]Wu C J,Chen HL,Huang XQ.Vibroacoustic analysis of a fluid-loaded cylindrical shell excited by a rotating load[J].Journal of sound and vibration,1999,225(1):79-94.
[13]Wu Lanhe.Thermal buckling of a simply supported moderately thick rectangular FGM plate[J〗.Composite Structures,2004,64:211-218.
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