| 不同边界条件下的封闭矩形声腔的结构-声耦合分析 |
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| 引用本文： | 姚昊萍, 张建润, 陈南, 孙庆鸿. 不同边界条件下的封闭矩形声腔的结构-声耦合分析[J]. 声学学报, 2007, 32(6): 497-502. DOI: 10.15949/j.cnki.0371-0025.2007.06.003 |
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| 作者姓名： | 姚昊萍 张建润 陈南 孙庆鸿 |
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| 作者单位： | 东南大学机械工程学院,南京,210096;东南大学机械工程学院,南京,210096;东南大学机械工程学院,南京,210096;东南大学机械工程学院,南京,210096 |
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| 摘 要： | 分析了由2块四边弹性支承的弹性板及4块刚性板构成的封闭矩形声腔的结构-声耦合特性。通过在弹性板边界施加假想的连续分布弹簧系统模拟板的不同边界和连接条件,利用汉密尔顿函数和瑞利-李兹方法,充分考虑了两弹性板之间以及弹性板与腔体内声场之间的耦合。腔体内的声压响应和弹性板的振动速度与Kim的实验结果能较好的吻合,验证了本文理论推导的正确性。最后,通过对耦合声场的分析计算,表明两弹性板之间为弱耦合,耦合声场主要由受到外激励的结构所决定;支承板的线弹簧的刚度变化对耦合声场的影响较旋转弹簧大。
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| 收稿时间： | 2006-05-11 |
| 修稿时间： | 2006-05-11 |
Analysis of structural-acoustic coupling of elastic rectangular enclosure with arbitrary boundary conditions |
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| YAO Haoping, ZHANG Jianrun, CHEN Nan, SUN Qinghong. Analysis of structural-acoustic coupling of elastic rectangular enclosure with arbitrary boundary conditions[J]. ACTA ACUSTICA, 2007, 32(6): 497-502. DOI: 10.15949/j.cnki.0371-0025.2007.06.003 |
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| Authors: | YAO Haoping ZHANG Jianrun CHEN Nan SUN Qinghong |
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| Abstract: | The structural acoustic coupling characteristics of a rectangular enclosure consisting of two elastic supported flexible plates and four rigid plates are analyzed.A general formulation considering the full coupling between the plates and cavity is developed by using Hamiltonian function and Rayleigh-Ritz method.By means of continuous distributions of artifical springs along boundary of flexible plates,a wide variety of boundary conditions and structure joint conditions are considered.To demonstrate the validity of the analytical model,the responses of sound pressure in the cavity and plate velocity are worked out.The analytical results coincides well with Kim's experimental results.The result is satisfactory.Finally,analytical results on the structure vibration and the sound field inside the cavity are presented. These results indicate that the coupling of the combined structure is relatively weak,so the internal cavity sound is controlled by plate directly excited,and the translational stiffness affects the sound more than the rotational stiffness does. |
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