结构声辐射的振动模态分析和声辐射模态分析研究Research on modal analysis of structural acoustic radiation using structural vibration modes and acoustic radiation modes
黎胜,赵德有
摘要:
基于辐射声功率的二次型表达式,采用有限元法、Rayleigh积分和边界元法对结构声辐射进行了振动模态分析和声辐射模态分析研究。振动模态间的耦合对辐射声功率影响的研究表明: 结构各阶振动模态自身对结构辐射声功率的贡献是增大结构的辐射声功率,而振动模态间的耦合可能会增大结构辐射声功率,也可能会减小结构辐射声功率,或对辐射声功率没有影响。而且,当振动模态间的耦合作用对辐射声功率的影响不大时,采用振动模态控制可取得较好的减振降噪双重控制效果。将混合的Helmholtz积分方程方法用广义逆引入到三维复杂结构声辐射分析的声辐射模态公式中,解决了特征频率下解不唯一问题。还研究了正方形封闭空间结构声辐射模态的辐射效率和形状,并对结构声辐射的振动模态控制和声辐射模态控制进行了讨论。
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基金项目: 辽宁省博士科研启动基金资助项目
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参考文献:
- 1 Fuller C R. Active control of sound transmission/radiation from elastic plates by vibrational inputs: I.Analysis. J. Sound Vib., 1990; 136(1) : 1-15
- 2 Fuller C R, Elliott S J, Nelson P A. Active control of vibration. San Diego: Academic Press: 1996
- 3 Cunefare K A. Effect of modal interaction on sound radiation from vibrating structures. AIAA Journal, 1992; 30(12) : 2819-2828
- 4 Borgiotti G V. The power radiated by a vibrating body in an acoustic fluid and its determination from boundary measurements. J. Acoust. Soc. Am., 1990; 88(4) : 1884-1893
- 5 Cunefare K A. The minimum multimodal radiation efficiency of baffled finite beams. J. Acoust. Soc. Am., 1991; 90(5) : 2521-2529
- 6 Baurnann W T, Saunders W R, Robertshaw H R. Active suppression of acoustic radiation from impulsively excited structures. J. Acoust. Soc. Am., 1991; 88(6) : 3202-3208
- 7 Snyder S D, Tanaka N. On feedforward active control of sound and vibration using vibration error signals. J. Acoust. Soc. Am., 1993; 94(4) : 2181-2193
- 8 Elliott S J, Johnson M E. Radiation modes and the active control of sound power. J. Acoust. Soc. Am., 1993; 94(4) : 2194-2204
- 9 Cunefare K A, Currey M N, Johnson M E, Elliott S J. The radiation efficiency grouping of free-space acoustic radia- tion modes. J. Acoust. Soc. Am., 2001; 109(1) : 203-215
- 10 Currey M N, Cunefare K A. The radiation modes of baffled finite plates. J. Acoust. Soc. Am., 1995; 98(3) : 1570-1580
- 11 Naghshineh K, Koopmann G H. Active control of sound power using acoustic basis functions as surface velocity filters. J. Acoust. Soc. Am., 1993; 93(5) : 2740-2752
- 12 Johnson M E, Elliott S J. Active control of sound radiation using volume velocity cancellation. J. Acoust. Soc. Am., 1995; 98(4) : 2174-2186
- 13 Tanaka N, Snyder S D, Hansen C H. Distributed parameter model filtering using smart sensors. ASME Transactions, Journal of Vibration and Acoustics, 1996; 118(4) : 630-640
- 14 毛崎波,姜哲.通过声辐射模态研究结构声辐射的有源控制.声学学报. 2001;26(3) :277-281
- 15 黎 胜,赵德有.平面声波由空气经加肋板向水中传输的数值计算研究.声学学报. 2002;27(2) :112-116
- 16 Seybert A F, Soenarko B, Rizzo F J, Shippy D J. An advanced computational method for radiation and scattering of acoustic waves in three dimensions. J. Acoust. Soc. Am., 1985; 77(2) : 362-368
- 17 Schenck H A. Improved integral formulation for acoustic radiation problems. J. Acoust. Soc. Am., 1968; 44(1) :41-58
- 18 Benthien W, Schenck A. Nonexistence and nonuniquenessproblems associated with integral equation methods in acoustics. Comput. Struct., 1997; 65(3) : 295-305
- 19 Lancaster P, Tismenetsky M. The theory of matrices. Orlando: Academic Press. 1987
- 20 Cunefare K A, Koopmann G H. A boundary element approach to optimization of active noise control sources on three-dimensional structures. ASME Transactions, Journal of Vibration and Acoustics, 1991; 113(3) : 387-394
- 21 Cunefare K A, Koopmann G H. Global optimum active noise control: Surface and far-field effects. J. Acoust. Soc. Am., 1991; 90(1) : 365-373
- 22 Chen P T, Ginsberg J H. Complex power, reciprocity, and radiation modes for submerged bodies. J. Acoust. Soc. Am., 1995; 98(6) : 3343-3351
- 23 Chen P T, Ju S H, Cha K C. A symmetric formulation of coupled BEM/FEM in solving responses of submerged elastic structures for large degrees of freedom. J. Sound Vib., 2000; 233(3) : 407-422
- 24 Nelson P A, Curtis A R D, Elliott S J, Bullmore A J. The minimum power output of free field point sources and the active control of sound. J. Sound Vib., 1987; 116(3) :397-414
- 25 Burden R L, Faires J D. Numerical analysis. Boston: PWS-KENT Publishing Company. 1989
- 26 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.声学学报. 2001;26(2) :174-179
- 27 Terai T. On calculation of sound fields around three dimensional objects by integral equation methods. J. Sound Vib., 1980; 69(1) : 71-100