| 弱耦合封闭声腔的声辐射模态理论与计算 |
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| 引用本文： | 毛荣富,苏常伟,朱海潮.弱耦合封闭声腔的声辐射模态理论与计算[J].声学学报,2019,44(3):297-302. |
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| 作者姓名： | 毛荣富 苏常伟 朱海潮 |
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| 作者单位： | 1. 海军工程大学 振动与噪声研究所 武汉 430033; |
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| 基金项目： | 国家自然科学基金项目(51675529)资助 |
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| 摘 要： | 有源结构声控制是耦合封闭声腔的声辐射控制的有效方法。在此前的研究中有学者提出了"耦合封闭声腔的声辐射模态"概念,但其在概念和应用上均存在不便之处:其定义实质上是结构模态幅值的一组基函数,这与自由空间内声辐射模态是结构表面法向振速或声压的一组基函数的物理意义并不一致;另一方面,在计算和利用其进行控制时仍然需要用到结构模态,而在实际中辐射结构有用的结构模态信息难以准确、方便地得到。为了解决这些问题,类比自由空间声辐射模态理论,将声势能直接表示为结构表面法向振速的二次型形式,提出了新的结构向耦合封闭声腔的声辐射模态计算方法,并从理论上证明了当耦合面均匀离散时,在一定的条件下,可以简单地利用声腔模态投影向量代替耦合封闭声腔的声辐射模态,从而有效地节约计算资源。通过理论研究,形成了与自由空间内相统一、便于应用的耦合封闭声腔声辐射模态理论,数值计算案例表明,所提出的理论方法可以极大方便耦合封闭声腔的声辐射计算及其有源结构声控制。
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| 关 键 词： | 耦合封闭声腔 声辐射模态 有源结构声控制 声势能 |
| 收稿时间： | 2017-04-16 |
Theory and calculation for acoustic radiation mode of weak coupling enclosure |
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| Affiliation: | 1. Institute of Noise & Vibration, Naval University of Engineering Wuhan 430033;2. National Key Laboratory on Ship Vibration & Noise Wuhan 430033 |
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| Abstract: | Active Structural Acoustic Control(ASAC) is an efficient method in acoustic radiation control of coupling enclosure. In the past research of ASAC, the concept of "Acoustic Radiation Mode(ARM) of coupling enclosure" was brought forward, which was a set of basic functions of structural mode amplitude. However, there was an incompatibility with the ARM definition in free space radiation case which was a set of basic functions of normal velocity or pressure on the vibrating surface. Also, there was severe inconvenience for application as structural modes were required while accurate and useful structural modes were difficult to be extracted in practice. To overcome these problems, by analogy to ARM theory of free space, the acoustic potential energy was expressed in quadratic form of normal velocity on coupling surface and ARM of coupling enclosure was redefined. Furthermore, theoretic deduction showed that ARM of coupling enclosure could be replaced simply by corresponding acoustic mode projection of enclosure when the coupling surface was discretized into equal size elements. Therefore, the ARM theory of coupling enclosure which was consistent with that of free space and convenient for application was formed. Finally, numerical calculation was performed and the results proved that the presented theory was very efficient in ARM calculation of coupling enclosure and ASAC. |
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