Review of Vibration and Noise Control of the Plate Structures

doi:10.3901/JME.2018.15.060

Abstract

Abstract: Vibration and noise control has become one of the major concerns for the modern transport industry. Plates have numerous applications in engineering and are the main structures of vehicle cabins. To obtain a better acoustical environment of vehicles, an important work is about reducing the vibration and noise of the plates. In the past decades, various control techniques for vibration and noise of plates are studied. Parts of them have been widely applied. To date, the research on this topic still receives much attenuation. Several typical vibration and noise control techniques for the plate structures are summarized firstly, including the design and optimization of structural parameters, utilizing dynamic absorber, vibration isolation mass, active noise control, active vibration control and active structural acoustic control and so on. In addition, a new control technique based on artificial periodic design is also introduced. Some ideas for the academic research and engineering application of vibration and noise control can be found.

Key words: control techniques, plate structures, vibration and noise

CLC Number:

TB53

SONG Yubao, WEN Jihong, YU Dianlong, SHEN Huijie. Review of Vibration and Noise Control of the Plate Structures[J]. Journal of Mechanical Engineering, 2018, 54(15): 60-77.

References

[1] LEPAGE A,MORTAIN F,COSTE L. Active structural acoustic control of a helicopter trim panel[C]//The 2005 Congress and Exposition on Noise Control Engineering,2005,August,Rio de Janeiro,Brazil.
[2] CHEN S,WANG D. Car interior noise[J]. IEEE Vehicular Technology Magazine,2011,6:34-42.
[3] KUMAR S. Sound transmission properties of honeycomb panels and double-walled structures[D]. Stockholm:KTH-The Royal Insititute of Technology,2012.
[4] 乔宇锋. 板结构辐射声的声品质基础理论研究[D]. 武汉:华中科技大学,2007. QIAO Yufeng. Research on basic theories of the radiation sound quality from plate structures[D]. Wuhan:Huazhong University of Science and Technology,2007.
[5] 肖勇. 局域共振型结构的带隙调控与减振降噪特性研究[D]. 长沙:国防科学技术大学,2012. XIAO Yong. Locally resonant structures:Band gap manipulation and properties of vibration and noise reduction[D]. Changsha:National University of Defense Technology,2012.
[6] 王磊,常书刚. 潜艇噪声与综合降噪技术的应用[J]. 航海技术,2007(2):44-48. WANG Lei,CHANG Shugang. Submarine noise and application of comprehensive noise reduction technology[J]. Marine Technology,2007(2):44-48.
[7] 路录祥,王江河. 直升机降噪技术[C]//第十六届直升机技术年会,上海,2000. LU Luxiang,WANG Jianghe. Technology of helicopter noise ontrol[C]//The 16th Annual Meeting of Helicopter Technology,Shanghai,2000.
[8] 王盛春. 蜂窝夹层结构复合材料的声振特性研究[D]. 重庆:重庆大学,2011. WANG Shengchun. Study on vibrational and acoustical properties of composite honeycomb sandwich structures[D]. Chongqing:Chongqing University,2011.
[9] 张广平,戴千策. 复合材料蜂窝夹芯板及其应用[J]. 纤维复合材料,2000,17(2):25-27, 6. ZHANG Guangping,DAI Qiance. Composite honeycomb sandwich panel and its application[J]. Fiber Composites,2000,17(2):25-27, 6.
[10] 吴剑国,谢祚水,王自力. 潜艇结构分析[M]. 武汉:华中科技大学出版社,2003. WU Jianguo,XIE Zuoshui,WANG Zili. Submarine structure analysis[M]. Wuhan:Huazhong University of Science and Technology Press,2003.
[11] 卢天建,辛锋先. 轻质板壳结构设计的振动与声学基础[M]. 北京:科学出版社,2012. LU Tianjian,XIN Fengxian. Fundamental theory of vibration and acoustics for the design of lightweight plates/shells[M]. Beijing:Science Press,2012.
[12] ALMGREN M,JIANG Y. Effects of damping treatments on radiation and vibration of train interior panels[D]. Stockholm:KTH-Royal Institute of Technology,2005.
[13] 靳光磊,刘永明. 高速列车车厢内噪声主动控制技术综述[J]. 郑州轻工业学院学报,2011,26(4):59-62. JIN Guanglei,LIU Yongming. Review of active noise control technology in high speed train[J]. Journal of Zhengzhou University of Light Industry,2011,26(4):59-62.
[14] 王建伟,王刚,温激鸿,等. 航天器发射阶段声振环境载荷控制技术研究进展[J]. 噪声与振动控制,2011,31(1):1-8. WANG Jianwei,WANG Gang,WEN Jihong,et al. Advances in control techniques of vibration and acoustic environment loads of spacecraft during launch-on stage[J]. Noise and Vibration Control,2011,31(1):1-8.
[15] 雷烨,盛美萍,肖和业. 直升机舱内噪声预估与分析[J]. 振动、测试与诊断,2010,30(6):617-620. LEI Ye,SHENG Meiping,XIAO Heye. Prediction and analysis of helicopter cockpit noise[J]. Journal of Vibration, Measurement & Diagnosis,2010,30(6):617-620.
[16] 陆红艳. 板结构的振动声辐射及其隔声性能研究[D]. 武汉:武汉理工大学,2003. LU Hongyan. The vibration & acoustic radiation and noise muffling characteristics of plate structures[D]. Wuhan:Wuhan University of Technolgy,2003.
[17] 李林凌,黄其柏,乔宇锋. 薄板在不同媒质中振动及声辐射特性研究[J]. 华中科技大学学报,2007,35(3):67-69. LI Linling,HUANG Qibai,QIAO Yufeng. Vibration and sound radiation characteristic of the thin plate in different surrounding media[J]. J. Huazhong Univ. of Sci. & Tech.,2007,35(3):67-69.
[18] 刘碧龙. 大型客机壁板噪声传递特性研究[J]. 噪声与振动控制,2012(S1):408-411. LIU Bilong. Researches on the noise transmission of commercial aircraft panels[J]. Noise and Vibration Control,2012(S1):408-411.
[19] 韩峰. 大型客机机舱内饰板隔声性能计算与试验[J]. 噪声与振动控制,2014(2):107-110. HAN Feng. Calculation and testing of sound transmission loss for interior panels of large aircraft fuselages[J]. Noise and Vibration Control,214,34(2):107-110.
[20] 孙加平,张丽荣,孙海荣,等. 高速列车夹芯地板结构隔声特性研究[J]. 噪声与振动控制,2014,34(4):39-43. SUN Jiaping,ZHANG Lirong,SUN Hairong,et al. Sond transmission loss of sandwich panels floor of high-speed trains[J]. Noise and Vibration Control,2014,34(4):39-43.
[21] 黎胜,赵德有. 加筋板结构声传输研究[J]. 船舶力学,2001,5(4):61-66. LI Sheng,ZHAO Deyou. Sound transmission through stiffened plates[J]. Journal of Ship Mechanics,2001,5(4):61-66.
[22] 黎胜. 水下结构声辐射和声传输的数值分析及主动控制模拟研究[D]. 大连:大连理工大学,2001. LI Sheng. Numerical analysis and active control simulation of underwater strucural acoustic radiation and transmission[D]. Dalian:Dalian University of Technology,2001.
[23] 何琳,朱海潮,邱小军,等. 声学理论与工程应用[M]. 北京:科学出版社,2006. HE Lin,ZHU Haichao,QIU Xiaojun,et al. Acoustic theory and Engineering[M]. Beijing:Science Press,2006.
[24] 马昌,张秀利. 结构噪声控制的基础研究[J]. 机械工程师,1997(1):4-5. MA Chang,ZHANG Xiuli. Basic research on structural noise control[J]. Mechanical Engineering,1997(1):4-5.
[25] NG C F,HUI C K. Low frequency sound insulation using stiffness control with honeycomb panels[J]. Applied Acoustics,2008,69(4):293-301.
[26] YAIRI M,SAKAGAMI K,SAKAGAMI E,et al. Sound radiation from a double-leaf elastic plate with a point force excitation:effect of an interior panel on the structure-borne sound radiation[J]. Applied Acoustics. 2002,63(7):737-757.
[27] 陈卫松,邱小军. 多层板的隔声特性研究[J]. 南京大学学报,2005,41(1):91-97. CHEN Weisong,QIU Xiaojun. A study on sound insulation of multiple panels[J]. Journal of Nanjing University,2005,41(1):91-97.
[28] 刘泽坤,周潮. 军用涡轮螺旋桨飞机内部装饰降噪设计与试验研究[J]. 飞机设计,2003(4):67-69. LIU Zekun,ZHOU Chao. Cabin noise reduction design and experimental research for military turboprop aircraft[J]. Aerocraft Design,2003(4):67-69.
[29] 胡莹,陈克安,潘凯. 基于统计能量分析的飞机舱室降噪研究[J]. 噪声与振动控制,2007(2):65-68. HU Ying,CHEN Kean,PAN Kai. Optimization design about plane cabin noise based on statistical energy analysis[J]. Noise and Vibration Control,2007(2):65-68.
[30] 孙朝晖,王冲,孙进才,等. 螺旋桨飞机舱室隔声技术研究[J]. 西北工业大学学报,1994,12(4):623-627. SUN Zhaohui,WANG Chong,SUN Jincai,et al. On reduction of weight needed for sound insulation treatment of a certain Chinese propeller airplane[J]. Journal of Northwest Polytechnical University,1994,12(4):623-627.
[31] 罗乖林,王晋军. 飞机舱内噪声综合治理技术[J]. 北京航空航天大学学报,2010,36(7):808-811. LUO Guailin,WANG Jinjun. Integrated methods for cabin noise control[J]. Journal of Beijing University of Aeronautics and Astronautics,2010,36(7):808-811.
[32] MULHOLLAND K A. The effect of sound-absorbing materials on the sound insulation of single panels[J]. Applied Acoustics,1969,2:1-7.
[33] BROWN S M. Effect of sound-absorptive facings on partition airborne-sound transmission loss[J]. The Journal of the Acoustical Society of America,1978,63:1851-1856.
[34] TOYODA M,TAKAHASHI D. Reduction of acoustic radiation by impedance control with a perforated absorber system[J]. Journal of Sound and Vibration,2005,286(3):601-614.
[35] TOYODA M,TANAKA M,TAKAHASHI D. Reduction of acoustic radiation by perforated board and honeycomb layer systems[J]. Applied Acoustics,2007,68:71-85.
[36] 朱大巍,黄修长,华宏星,等. 敷设手性覆盖层加筋梁低频振动和声辐射特性[J]. 振动与冲击,2014,33(11):178-183. ZHU Dawei,HUANG Xiuchang,HUA Hongxing,et al. Vibration and acoustic radiation characteristics of stiffened beam with a chiral covering layer[J]. Journal of Vibration and Shock,2014,33(11):178-183.
[37] HANNINK M. Acoustic resonators for the reduction of sound radiation and transmission[D]. Enschede:University of Twente,2007.
[38] NAIFY C J,HUANG C,SNEDDON M,et al. Transmission loss of honeycomb sandwich structures with attached gas layers[J]. Applied Acoustics,2011,72(2):71-77.
[39] 霍新祥. 高速列车车厢壁板的隔声研究[D]. 兰州:兰州交通大学,2013. HUO Xinxiang. Investigation on sound insulation of high speed train's wall[D]. Lanzhou:Lanzhou Jiaotong University,2013.
[40] 范蓉平. 高速列车车厢减振降噪材料和结构的一体化设计技术与性能评估方法[D]. 上海:上海交通大学,2009. FAN Rongping. The integrated design technology of damping materials and carriage structures in high speed train and methods for property assessment[D]. Shanghai:Shanghai Jiao Tong University,2009.
[41] 于金朋,刘小霞,黄雪飞,等. 隔音垫对高速列车内地板隔声特性影响研究[J]. 噪声与振动控制,2013(z1):354-357. YU Jinpeng,LIU Xiaoxia,HUANG Xuefei,et al. Sound insulation mat parameters investigation of the sound transmission loss property of high speed train's interior floor[J]. Noise and Vibration Control,2013(z1):354-357.
[42] 张军,杜宇,李伟东,等. 矩形封闭声腔壁板轻量化对声固耦合特性的影响[J]. 声学学报,2014,39(1):59-67. ZHANG Jun,DU Yu,LI Weidong,et al. Effects of the lightweight design on the structural-acoustic characteristics of a rectangular enclosure[J]. Acta Acustica,2014,39(1):59-67.
[43] 梁新华. 汽车车身薄壁件阻尼复合结构振动-声学分析与优化[D]. 上海:上海交通大学,2007. LIANG Xinhua. Vibro-acoustic analysis and optimization of damping panel in auto-body[D]. Shanghai:Shanghai Jiao Tong University,2007.
[44] 杜敬涛. 任意边界条件下结构振动、封闭声场及其耦合系统建模方法研究[D]. 哈尔滨:哈尔滨工程大学,2009. DU Jingtao. Study on modeling methods for structural vibration, enclosed sound field and their coupling system subject to general boundary conditions[D]. Harbin:Harbin Engineering University,2009.
[45] 杨军伟,蔡俊,邵骢. 微穿孔板——蜂窝夹芯复合结构的隔声性能[J]. 噪声与振动控制,2013,33(4):122-125, 176. YANG Junwei,CAI Jun,SHAO Cong. Sound insulation property of the composite structure with micro-perforated panels and honeycomb core[J]. Noise and Vibration Control,2013,33(4):122-125, 176.
[46] 杨德庆,柳拥军,金咸定. 薄板减振降噪的拓扑优化设计方法[J]. 船舶力学,2003,7(5):91-96. YANG Deqing,LIU Yongjun,JIN Xianding. Structural topology optimal design to reduce vibration and noise of thin plate[J]. Journal of Ship Mechanics,2003,7(5):91-96.
[47] 张涛,姜哲. 基于声辐射模态的板加筋位置优化[J]. 科学技术与工程,2014,14(1):154-157, 175. ZHANG Tao,JIANG Zhe. Stiffeners location optimization of plate based on acoustic radiation model[J]. Science Technology and Engineering,2014,14(1):154-157, 175.
[48] DENLI H,SUN J Q. Structural-acoustic optimization of sandwich structures with cellular cores for minimum sound radiation[J]. Journal of Sound and Vibration,2007,301(1):93-105.
[49] FRANCO F,CUNEFARE K A,RUZZENE M. Structural-acoustic optimization of sandwich panels[J]. Journal of Vibration and Acoustics,2007,129(3):330-340.
[50] WANG T,LI S,NUTT S R. Optimal design of acoustical sandwich panels with a genetic algorithm[J]. Applied Acoustics,2009,70(3):416-425.
[51] THAMBURAJ P,SUN J Q. Optimization of anisotropic sandwich beams for higher sound transmission loss[J]. Journal of Sound and Vibration,2002,254(1):23-36.
[52] 欧阳山,隋富生. 铝型材结构隔声优化[J]. 噪声与振动控制,2013,33(S1):367-369. OUYANG shan,SUI Fusheng. Optimization of Aluminium extrusion for maximum sound transmission loss[J]. Noise and Vibration Control,2013,33(S1):367-369.
[53] 刘耀宗,郁殿龙,赵宏刚,等. 被动式动力吸振技术研究进展[J]. 机械工程学报,2007,43(3):14-21. LIU Yaozong,YU Dianlong,ZHAO Honggang,et al. Review of passive dynamic vibration absorbers[J]. Chinese Journal of Mechanical Engineering,2007,43(3):14-21.
[54] WONG W O,TANG S L,CHEUNG Y L,et al. Design of a dynamic vibration absorber for vibration isolation of beams under point or distributed loading[J]. Journal of Sound and Vibration,2007,301:898-908.
[55] 苏尔敦,方可强,崔鲁青,等. 板式动力吸振器设计研究[J]. 结构强度研究,2009(3):56-59. SU Erdun,FANG Keqiang,CUI Luqing,et al. Design and study of plate type dynamic vibration absorber[J]. Study on Structural Strength,2009(3):56-59.
[56] 王彦琴,盛美萍,孙进才. 基于功率流的宽带复式动力吸振器优化设计[J]. 机械科学与技术,2004,23(4):437-440. WANG Yanqin,SHENG Meiping,SUN Jincai. Optimum design of multiple dynamic vibration absorbers of the continuous parameters system based on power flow[J]. Mechanical Science and Technolgy,2004,23(4):437-440.
[57] 宛敏红,王敏庆,行晓亮,等. 梁式动力吸振器用于抑制薄板振动的研究[J]. 噪声与振动控制,2007,27(1):27-30. YUAN Minhong,WANG Minqing,XING Xiaoliang,et al. Study on beam type dynamic vibration absorber for reducing vibration of a thin panel[J]. Noise and Vibration Control,2007,27(1):27-30.
[58] 肖和业,盛美萍,吴伟浩. 新型宽带动力吸振器优化设计[J]. 振动与冲击,2011,30(1):98-101. XIAO Heye,SHENG Meiping,WU Weihao. Optimization analysis for a new type of broadband dynamic absorber based on particle swarm optimization[J]. Journal of Vibration and Shock,2011,30(1):98-101.
[59] VIANA F A C,KOTINDA G I,RADE D A,et al. Tuning dynamic vibration absorbers by using ant colony optimization[J]. Computers & Structures,2008,86(13):1539-1549.
[60] DAYOU J,BRENNAN M J. Global control of structural vibration using multiple-tuned tunable vibration neutralizers[J]. Journal of Sound and Vibration,2002,258(2):345-357.
[61] JOLLY M R,SIN J Q. Passive tuned vibration absorbers for sound radiation reduction from vibrating panels[J]. Journal of Sound and Vibration,1996,191(4):577-583.
[62] 孙朝晖,孙进才,王冲,等. 动力吸振器用于提高飞机壁板隔声量的研究[J]. 噪声与振动控制,1995(1):10-13. SUN Zhaohui,SUN Jincai,WANG Chong,et al. Study on improving the sound insulation of aircraft panel using dynamic vibration absorber[J]. Noise and Vibration Control,1995(1):10-13.
[63] 杨德庆,戴浪涛. 可调动力吸振器降噪设计方法研究[J]. 舰船科学技术,2006,28(5):43-47. YANG Deqing,DAI Langtao. Reduction of sound radiation from palte using vibration absorbers[J]. Ship Science and Technology,2006,28(5):43-47.
[64] CAMEAL J P,CHARETTE F,FULLER C R. Minimization of sound radiation from plates using adaptive tuned vibration absorbers[J]. Journal of Sound and Vibration,2004,270(4):781-792.
[65] MARCOTTE P. A Study of distributed active vibration absorbers[D]. Blacksburg, Virginia:Virginia Polytechnic Institute and State University,2004.
[66] FULLER C R,HAME R L. Advanced passive treatment of low frequency sound and vibration[C]//Proceedings of Acoustics 2009,2009.
[67] IDRISI K,JOHNSON M E,TOSO A,et al. Increase in transmission loss of a double panel system by addition of mass inclusions to a poro-elastic layer:A comparison between theory and experiment[J]. Journal of Sound and Vibration,2009,323(1):51-66.
[68] HAMEe R,FULLER C R. Lightweight distributed vibration absorbers for marine structures[J]. Proceedings of Meetings on Acoustics,2012,9:65003.
[69] HOWARD C Q. Transmission loss of a panel with an array of tuned vibration absorbers[J]. Acoustics Australia,2008,36:98-103.
[70] 张少辉,柴洪友,马海全,等. 黏弹阻尼技术在航天器上的应用与展望[J]. 航天器工程,2011,20(1):120-128. ZHANG Shaohui,CHAI Hongyou,MA Haiquan,et al. Progress and perspect on viscoelastic damping technology for spacecraft application[J]. Spacecraft Engineering,2011,20(1):120-128.
[71] 范蓉平,孟光,贺才春,等. 粘弹性阻尼材料降低列车车内噪声的试验研究[J]. 振动与冲击,2008,27(6):123-127. FAN Rongping,MENG Guang,HE Caichun,et al. Experimental study on reducing interior noise of train by viscoelastic damping material[J]. Journal of Vibration and Shock,2008,27(6):123-127.
[72] 王慧彩,赵德有. 粘弹性阻尼夹层板动力特性分析及其试验研究[J]. 船舶力学,2005,9(4):109-118. WANG Huicai,ZHAO Deyou. Dynamic analysis and experiment of viscoelastic damped sandwich plate[J]. Journal of Ship Mechanics,2005,9(4):109-118.
[73] 杨雪,王源升,朱金华,等. 阻尼复合结构阻尼性能的研究与优化[J]. 船舶,2005(3):17-19. YANG Xue,WANG Yuabsheng,ZHU Jinhua,et al. Research and optimization of compounded damping structure's damping performance[J]. Ship & Boat,2005(3):17-19.
[74] 朱帅,吴星成,杨瑶,等. 二维周期阻尼薄板结构的声辐射特性[J]. 湖北工业大学学报,2014,29(2):77-81. ZHU Shuai,WU Xingcheng,YANG Yao,et al. Acoustic radiation characteristics of 2D periodic pamping plate structure[J]. Journal of Hubei University of Technology,2014,29(2):77-81.
[75] 杨瑶,周敬东,朱帅,等. 二维周期阻尼三明治板结构声辐射特性研究[J]. 压电与声光,2014,36(6):1013-1017, 1021. YANG Yao,ZHOU Jingdong,ZHU Shuai. Study on acoustics radiation characteristic of sandwich panel structure with 2D periodical damping core[J]. Piezoelectrics & Acoustooptics,2014,36(6):1013-1017, 1021.
[76] KARI L,KINDGREN K,FENG L,et al. Constrained polymer layers to reduce noise:Reality or fiction?-an experimental inquiry into their effectiveness[J]. Polymer esting,2002,21:949-958.
[77] CREMER C,HECKL M,PETERSSON B A T. Structural-borne sound[M]. New York:Springer,2005.
[78] HECKL M. The tenth sir richard fairey memorial leture:Sound transission in buildings[J]. Journal of Sound and Vibration,1981,77:165-189.
[79] ZHENG H,PAU G S H,WANG Y Y. A comparative study on optimization of constrained layer damping treatment for structural vibration control[J]. Thin-Walled Structures,2006,44:886-896.
[80] 张彩霞,沙云东,朱琳,等. 薄壁结构约束阻尼板减振降噪优化设计[J]. 沈阳航空航天大学学报,2014,31(3):32-38. ZHANG Caixia,SHA Yundong,ZHU Lin,et al. Optimization desgn fo thin-walled structure with constained damping layer[J]. Journal of Shenyang Aerospace University,2014,31(3):32-38.
[81] 祝乔飞. 约束阻尼结构振动声辐射优化研究[D]. 重庆:重庆大学,2013. ZHU Qiaofei. Topology optimization of acoustic radiation for constrained layer damping structures[D]. Chongqing:Chongqing University,2013.
[82] 刘见华,金咸定,李喆. 多个阻振质量阻抑结构声的传递[J]. 上海交通大学学报,2003,37(8):1205-1208. LIU Jianhua,JIN Xianding,LI Zhe. Impediment to structure-borne sound propagation rom several paralleling arranged vibration isolation mass[J]. Journal of Shanghai Jiao Tong University,2003,37(8):1205-1208.
[83] 刘见华. 舰船结构声传递的阻抑机理及应用研究[D]. 上海:上海交通大学,2003. LIU Jianhua. Study on the impeding mechanism and application of the warship structure-borne sound propagation[D]. Shanghai:Shanghai Jiao Tong University,2003.
[84] 刘见华,金咸定,李喆. 阻振质量阻抑结构声的传递[J]. 上海交通大学学报,2003,37(8):1201-1204. LIU Jianhua,JIN Xianding,LI Zhe. Impediment to structure-borne sound propagation from vibration isolation mass[J]. Journal of Shanghai Jiao Tong University,2003,37(8):1201-1204.
[85] 姚熊亮,计方,钱德进,等. 偏心阻振质量阻抑振动波传递特性研究[J]. 振动与冲击,2010,29(1):48-52. YAO Xiongliang,JI Fang,QIAN Dejin,et al. Characteritics of eccentric blocking mass atteunating vibration wave propagation[J]. Journal of Vibration and Shock,2010,29(1):48-52.
[86] 刘洪林,王德禹. 阻振质量块对板结构振动与声辐射的影响[J]. 振动与冲击,2003,22(4):76-79. LIU Honglin,WANG Deyu. Vibration-isolating mass -block effect and acoustic radiation of a plate structure[J]. Journal of Vibration and Shock,2003,22(4):76-79.
[87] 温华兵. 复杂薄壳结构振动声辐射特性[D]. 镇江:江苏大学,2014. WEN Huabing. Research on sound radiation characteristics and vibration control technology of complex thin shell structure[D]. Zhenjiang:Jiangsu University. 2014.
[88] 宋玉宝,温激鸿,郁殿龙,等. 固支边界下轻质蜂窝夹层结构声振特性分析[J]. 制造业自动化,2013,35:9-12. SONG Yubao,WEN Jihong,YU Dianlong,et al. Analysis of acoustic and vibration characteristics of lightweight honeycomb sandwich structure with clamped boundary conditions[J]. Manufacturing Automation,2013,35:9-12.
[89] TEWEW S. Active trim panel attachments for control of sound transmission through aircraft structures[D]. München:Technische Universität München,2006.
[90] 刘伟. 噪声主动控制中作动器位置与反馈增益优化[D]. 大连:大连理工大学,2008. LIU Wei. Optimal placements and feedback gains of sensors and actuators for active noise control[D]. Dalian:Dalian University of Technology,2008.
[91] LAU S K,TANG S K. Sound fields in a slightly damped rectangular enclosure under active control[J]. Journal of Sound and Vibration,2000,238(4):637-660.
[92] SUNG C,JAN C T. Active control of structurally radiated sound from plates[J]. Journal of the Acoustical Society of America,1997,102(1):370-381.
[93] PIETRZKO S J,MAO Q. New results in active and passive control of sound transmission through double wall structures[J]. Aerospace Science and Technology,2008,12(1):42-53.
[94] 靳国永,张洪田,刘志刚,等. 基于声辐射模态的双层板声传输有源控制数值仿真和分析研究[J]. 振动工程学报,2011,24(4):435-443. JIN Guoyong,ZHANG Hongtian,LIU Zhigang. et al. Numerical analysis of active control of soundtransmission through a double-panel structure by using radiation modes[J]. Journal of Vibration Engineering,2011,24(4):435-443.
[95] 马玺越,陈克安,丁少虎. 基于平面声源的三层有源隔声结构次级源最优布放[J]. 西北工业大学学报,2013,31(3):386-391. MA Xiyue,CHEN Kean,DING Shaohu. Optimizing location of secondary plannar sound source of active three-panel sound insulation structure[J]. Journal of Northwestern Polytechnical University,2013,31(3):386-391.
[96] 马玺越,陈克安,丁少虎,等. 基于平面声源的三层有源隔声结构物理机制研究[J]. 声学学报,2013,38(5):597-606. MA Xiyue,CHEN Kean,DING Shaohu,et al. Physical mechanisms of active control of sound transmission through triple-layer structure using plannar loudspeaker[J]. ACTA Acoustica,2013,38(5):597-606.
[97] 徐敏. 降低直升机振动水平的桨叶襟翼主动控制技术综述[J]. 直升机技术,2007(2):56-61. XU Min. Review of active flap control technology for reducing helicopter vibration level[J]. Helicopter Technology,2007(2):56-61.
[98] 王成亮. 柔性板振动主动控制中压电元件的优化布置[D]. 南京:南京航空航天大学,2004. WANG Chengliang. Optimal placement of piezelectric elements for active vibration control of flexible plates[D]. Nanjing:Nanjing University of Aeronautics and Astronautics,2004.
[99] 王永,董卓敏,李红征,等. 柔性结构振动主动控制中传感器/执行器位置优化研究[J]. 南京理工大学学报:自然科学版,2002,26(S1):29-35. WANG Yong,DONG Zhuomin,LI Hongzheng,et al. Optimization disposition of sensor/actuator for active vibration control of flexible structure[J]. Journal of Nanjing University of Science and Technology,2002,26(S1):29-35.
[100] 李海斌,毕世华,乔羽,等. 振动主动控制技术现状及发展[J]. 振动与冲击,1998,17(3):38-42. LI Haibin,BI Shihua,QIAO Yu,et al. An overview and assessment on active vibration control[J]. Journal of Vbration and Shock,1998,17(3):38-42.