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基于平面声源的三层有源隔声结构系统易于实现且具有良好的低频隔声性能,实现该系统需解决的关键问题是误差信号的检测.本文将压电传感薄膜聚偏氟乙烯(polyvinylidene fluoride, PVDF)阵列检测简支梁辐射模态的理论拓展到二维结构, 并应用到三层隔声结构实现误差传感的优化设计.根据三层结构中特殊的能量传输规律, 对误差传感方案中目标函数的选取、PVDF数目确定以及传感系统优化等问题进行深入分析.研究表明, 由于辐射板能量主要集中在有限个振动模态上, 只需将少数经固定系数加权的PVDF薄膜输出电流求和即可获得前三阶辐射模态幅值.辐射模态幅值的检测值与理论值符合良好, 保证传感精度的同时有效简化了系统.The active triple sound insulation structure using planar loudspeaker as the secondary actuator can be easily implemented and has better sound insulation performance in the low frequency range. The key problem encountered when implementing such a control system is to sense the error signal which should be highly correlated with the radiated sound power. In this paper, the theory of sensing the radiation modes of simply supported beam using polyvinylidene fluoride (PVDF) arrays used in one-dimensional case is extended to two-dimensional structure, and then it is used in triple panel structure to optimally design the error sensing strategy. Based on the specific rule of sound energy transmission through triple panel structure, some key problems encountered in realizing the sensing system such as selection of the objective function, optimization of the number of PVDFs and implementing the sensing system, are analyzed thoroughly. The results obtained demonstrate that due to the fact that the majority of vibrating energy of radiated panel is stored in several limited number of panel modes, the amplitude of the first three order radiation modes can be obtained by simply summing the limited number of weighted PVDF film current output. And the weighted coefficient is fixed. The amplitudes of the radiation modes sensed by the proposed method are in good agreement with the theoretical value. The sensing accuracy of the error sensing system can be guaranteed, and this approach highly simplify the implementation of the error sensing system.
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Keywords:
- active triple-layer sound insulation structure /
- error sensing strategy /
- polyvinylidene fluoride arrays /
- radiation modes
[1] Sas P, Bao C, Augusztinovicz F, Desmet W 1995 J. Sound Vib. 180 609
[2] Carneal J P, Fuller C R 1995 J. AIAA 33 618
[3] Pan J, Bao C 1997 J. Acoust. Soc. Am. 103 1916
[4] Bao C, Pan J 1997 J. Acoust. Soc. Am. 102 1664
[5] Jakob A, Moser 2003 Appl. Acoust. 64 163
[6] Jakob A, Moser M 2003 Appl. Acoust. 64 183
[7] Carneal J P, Fuller C R 2004 J. Sound Vib. 272 749
[8] Li Y Y, Cheng L 2006 J. Sound Vib. 297 1068
[9] Zhu H, Rajamani R, Stelson K A 2002 J. Acoust. Soc. Am. 113 852
[10] Chen K, Koopmann G H 2002 J. Vib. Acoust. 124 2
[11] Chen K A, Koopmann G H 2003 Acta Acustica 28 279 (in Chinese) [陈克安, Koopmann G H 2003 声学学报 28 279]
[12] Clark R L, Fuller C R 1992 J. Acoust. Soc. Am. 91 3321
[13] Hill S G, Snyder S D, Tanaka N 2008 J. Sound Vib. 318 1050
[14] Elliott S J, Johnson M E 1993 J. Acoust. Soc. Am. 94 2194
[15] Mao Q B, Jiang Z 2001 Acta Acustica 26 277 (in Chinese) [毛崎波, 姜哲2001 声学学报 26 277]
[16] Jin G Y, Zhang H T, Liu Z G, Yang T J 2011 J. Vib. Eng. 24 435 (in Chinese) [靳国永, 张洪田, 刘志刚, 杨铁军2011振动工程学报 24 435]
[17] Mao Q B, Xu B L 2003 Acta Acustica 28 262 (in Chinese) [毛崎波, 徐柏龄2003声学学报 28 262]
[18] Johnson M E, Elliott S J 1995 J. Acoust. Soc. Am. 98 2174
[19] Charette F, Berry A 1997 J. Acoust. Soc. Am. 103 1493
[20] Sors T C, Elliott S J 2002 J. Sound Vib. 258 867
[21] Pan X, Sutton T J, Elliott S J 1998 J. Acoust. Soc. Am. 104 2828
[22] Jin G Y, Liu Z G, Du J T, Yang T J 2009 Acta Acustica 34 342 (in Chinese) [靳国永, 刘志刚, 杜敬涛, 杨铁军2009 声学学报 34 342]
[23] Mao Q, Xu B, Jiang Z Gu 2003 Appl. Acoust. 64 669
[24] Chen K A 2003 Active Noise Control (Beijing: National Defense Industry Press) p267 (in Chinese) [陈克安 2003有源噪声控制(北京: 国防工业出版社) 第267页]
[25] Chen K A, Chen G Y, Li S, Pan H R 2007 Acta Acustica 32 42 (in Chinese) [陈克安, 陈国跃, 李双, 潘浩然 2007 声学学报 32 42]
[26] Lee C K, Moon F C 1990 J. Appl. Mech. 57 434
[27] Fuller C R, Hansen C H, Snyder S D 1991 J. Sound Vib. 150 179
[28] Borgiotti G V, Jones K E 1994 J. Acoust. Soc. Am. 96 3516
[29] Li S, Chen K A 2007 Acta Acustica 32 171 (in Chinese) [李双, 陈克安 2007 声学学报 32 171]
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[1] Sas P, Bao C, Augusztinovicz F, Desmet W 1995 J. Sound Vib. 180 609
[2] Carneal J P, Fuller C R 1995 J. AIAA 33 618
[3] Pan J, Bao C 1997 J. Acoust. Soc. Am. 103 1916
[4] Bao C, Pan J 1997 J. Acoust. Soc. Am. 102 1664
[5] Jakob A, Moser 2003 Appl. Acoust. 64 163
[6] Jakob A, Moser M 2003 Appl. Acoust. 64 183
[7] Carneal J P, Fuller C R 2004 J. Sound Vib. 272 749
[8] Li Y Y, Cheng L 2006 J. Sound Vib. 297 1068
[9] Zhu H, Rajamani R, Stelson K A 2002 J. Acoust. Soc. Am. 113 852
[10] Chen K, Koopmann G H 2002 J. Vib. Acoust. 124 2
[11] Chen K A, Koopmann G H 2003 Acta Acustica 28 279 (in Chinese) [陈克安, Koopmann G H 2003 声学学报 28 279]
[12] Clark R L, Fuller C R 1992 J. Acoust. Soc. Am. 91 3321
[13] Hill S G, Snyder S D, Tanaka N 2008 J. Sound Vib. 318 1050
[14] Elliott S J, Johnson M E 1993 J. Acoust. Soc. Am. 94 2194
[15] Mao Q B, Jiang Z 2001 Acta Acustica 26 277 (in Chinese) [毛崎波, 姜哲2001 声学学报 26 277]
[16] Jin G Y, Zhang H T, Liu Z G, Yang T J 2011 J. Vib. Eng. 24 435 (in Chinese) [靳国永, 张洪田, 刘志刚, 杨铁军2011振动工程学报 24 435]
[17] Mao Q B, Xu B L 2003 Acta Acustica 28 262 (in Chinese) [毛崎波, 徐柏龄2003声学学报 28 262]
[18] Johnson M E, Elliott S J 1995 J. Acoust. Soc. Am. 98 2174
[19] Charette F, Berry A 1997 J. Acoust. Soc. Am. 103 1493
[20] Sors T C, Elliott S J 2002 J. Sound Vib. 258 867
[21] Pan X, Sutton T J, Elliott S J 1998 J. Acoust. Soc. Am. 104 2828
[22] Jin G Y, Liu Z G, Du J T, Yang T J 2009 Acta Acustica 34 342 (in Chinese) [靳国永, 刘志刚, 杜敬涛, 杨铁军2009 声学学报 34 342]
[23] Mao Q, Xu B, Jiang Z Gu 2003 Appl. Acoust. 64 669
[24] Chen K A 2003 Active Noise Control (Beijing: National Defense Industry Press) p267 (in Chinese) [陈克安 2003有源噪声控制(北京: 国防工业出版社) 第267页]
[25] Chen K A, Chen G Y, Li S, Pan H R 2007 Acta Acustica 32 42 (in Chinese) [陈克安, 陈国跃, 李双, 潘浩然 2007 声学学报 32 42]
[26] Lee C K, Moon F C 1990 J. Appl. Mech. 57 434
[27] Fuller C R, Hansen C H, Snyder S D 1991 J. Sound Vib. 150 179
[28] Borgiotti G V, Jones K E 1994 J. Acoust. Soc. Am. 96 3516
[29] Li S, Chen K A 2007 Acta Acustica 32 171 (in Chinese) [李双, 陈克安 2007 声学学报 32 171]
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