A variational formulation for vibro-acoustic analysis of a panel backed by an irregularly-bounded cavity
A variational formulation for vibro-acoustic analysis of a panel backed by an irregularly-bounded cavity
复制标题
用于对不规则边界空腔支撑的面板进行振动声学分析的变分公式
DOI：
10.1016/j.jsv.2016.03.003
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发表时间：
2016-07
影响因子：
4.7
通讯作者：
Qu, Yegao
中科院分区：
文献类型：
--
作者：
Xie, Xiang;Zheng, Hui;Qu, Yegao
采用弱形式变分法研究了具有一般壁阻抗的不规则声腔与任意边缘支承的柔性板组成的结构-声耦合系统的振动-声响应。基于改进的变分法结合多段划分策略，建立了耦合系统的结构和声学模型。同时，通过最小二乘加权余量法将子段界面的连续性约束进一步纳入系统刚度矩阵。正交多项式，如第一类Chebyshev多项式，被用来作为完全可容许的未知位移和声压场变量函数的独立组件没有网格，因此映射到一个平方谱域的不规则的物理域是必要的。研究了加权参数、截断多项式项数和分割数对现有理论解精度的影响。据观察，应用这种方法，可以得到准确和有效的预测，为各种类型的耦合面板腔的问题，并在弱或强耦合的情况下，由轻或重的流体包围的面板，面板腔接触界面上的速度连续性的固有原则，都可以令人满意地处理。关键参数的几何特性的影响，以及阻抗边界的研究。最后，通过对3D车-车耦合微型结构的振动声学分析，我们证明了本方法似乎是一种很好的方法，以获得准确的中频解决方案与可接受的CPU时间。
A weak form variational based method is developed to study the vibro-acoustic responses of coupled structural-acoustic system consisting of an irregular acoustic cavity with general wall impedance and a flexible panel subjected to arbitrary edge-supporting conditions. The structural and acoustical models of the coupled system are formulated on the basis of a modified variational method combined with multi-segment partitioning strategy. Meanwhile, the continuity constraints on the sub-segment interfaces are further incorporated into the system stiffness matrix by means of least-squares weighted residual method. Orthogonal polynomials, such as Chebyshev polynomials of the first kind, are employed as the wholly admissible unknown displacement and sound pressure field variables functions for separate components without meshing, and hence mapping the irregular physical domain into a square spectral domain is necessary. The effects of weighted parameter together with the number of truncated polynomial terms and divided partitions on the accuracy of present theoretical solutions are investigated. It is observed that applying this methodology, accurate and efficient predictions can be obtained for various types of coupled panel-cavity problems; and in weak or strong coupling cases for a panel surrounded by a light or heavy fluid, the inherent principle of velocity continuity on the panel-cavity contacting interface can all be handled satisfactorily. Key parametric studies concerning the influences of the geometrical properties as well as impedance boundary are performed. Finally, by performing the vibro-acoustic analyses of 3D car-like coupled miniature, we demonstrate that the present method seems to be an excellent way to obtain accurate mid-frequency solution with an acceptable CPU time.
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DOI：
10.1115/1.4027136
发表时间：
2014-06
期刊：
Journal of Vibration and Acoustics
影响因子：
--
作者：
Y. Chen;G. Jin;Shuang-xia Shi;Zhi-gang Liu
通讯作者：
Y. Chen;G. Jin;Shuang-xia Shi;Zhi-gang Liu
DOI：
10.1121/1.3682046
发表时间：
2012-03
期刊：
The Journal of the Acoustical Society of America
影响因子：
--
作者：
N. Tanaka;Y. Takara;H. Iwamoto
通讯作者：
N. Tanaka;Y. Takara;H. Iwamoto
影响因子：
3.5
作者：
Su Zhang;Li-ping Cheng
通讯作者：
Su Zhang;Li-ping Cheng
DOI：
10.1115/1.2874473
发表时间：
1995-10
期刊：
Journal of Vibration and Acoustics
影响因子：
--
作者：
C. Rajalingham;R. Bhat;G. D. Xistris
通讯作者：
C. Rajalingham;R. Bhat;G. D. Xistris
影响因子：
2.4
作者：
P. Bouillard;V. Lacroix;E. Bel
通讯作者：
P. Bouillard;V. Lacroix;E. Bel