A General Analytical Method for Vibroacoustic Analysis of an Arbitrarily Restrained Rectangular Plate Backed by a Cavity With General Wall Impedance
A General Analytical Method for Vibroacoustic Analysis of an Arbitrarily Restrained Rectangular Plate Backed by a Cavity With General Wall Impedance
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DOI：
10.1115/1.4027136
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发表时间：
2014-06
期刊：
影响因子：
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通讯作者：
Y. Chen;G. Jin;Shuang-xia Shi;Zhi-gang Liu
中科院分区：
文献类型：
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作者：
Y. Chen;G. Jin;Shuang-xia Shi;Zhi-gang Liu
本文提出了一种通用的建模方法，用于任意约束矩形板的振动声学分析。该方法提供了一种统一的求解结构-空腔耦合系统的方法，使得改变板的边界条件和空腔壁的阻抗与改变几何参数或材料参数一样简单，而不需要对整个求解过程作任何改变。在Rayleigh-Ritz标架下，将板的位移和腔体中的声压分别展开为二次和三次Chebyshev多项式级数，得到了耦合系统模态和声振特性问题的一个简单而有效的解.目前的方法可以适用于处理强结构声耦合的情况下，这是明确说明考虑一种情况下与浅腔和非常薄的板，而另一个充满水的腔。通过数值算例验证了界面处速度的空间匹配性。切比雪夫级数表示的优良正交性和完备性使其具有优良的精度和数值稳定性。最后通过实验验证了该方法的有效性。此外，目前的方法的准确性和可靠性也得到了广泛的验证，通过数值算例和比较与理论解，有限元结果，和文献中的结果。几个关键参数的影响进行了分析，包括结构边界条件，板厚度，空腔深度，和壁阻抗。
A general modeling method is developed for the vibroacoustic analysis of an arbitrarily restrained rectangular plate backed by a cavity with general wall impedance. The present method provides a uniform way to obtain the solution of the coupled structure-cavity system, making changes of both boundary conditions of the plate and impedance of the cavity walls as simple as the modifications of geometrical or material parameters without requiring any altering of the whole solution procedure. With the displacement of the plate and acoustic pressure in the cavity expanded as double and triple Chebyshev polynomial series, respectively, a simple yet efficient solution to the problem of the modal and vibroacoustic behavior of the coupled system is obtained under the Rayleigh–Ritz frame. The current method can be applied to handle strong structural-acoustic coupling cases and this is illustrated explicitly by considering one case with a shallow cavity and very thin plate while the other with a water-filled cavity. The spatial matching of velocity at the interface is checked by numerical examples. The excellent orthogonal and complete properties of the Chebyshev series representations enable excellent accuracy and numerical stability. An experiment is conducted to validate the present method. In addition, the accuracy and reliability of the current method are also extensively validated by numerical examples and comparisons with theoretical solutions, finite element results, and results available in the literature. The effects of several key parameters are analyzed, including structural boundary conditions, plate thickness, cavity depth, and wall impedance.