两封闭弹性长方体连接结构的声辐射建模与分析

姚昊萍,张建润,陈南,孙庆鸿

中国工程科学 ›› 2007, Vol. 9 ›› Issue (3) : 41 -46.

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中国工程科学 ›› 2007, Vol. 9 ›› Issue (3) : 41 -46.

两封闭弹性长方体连接结构的声辐射建模与分析

    姚昊萍,张建润,陈南,孙庆鸿
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Analysis of Sound Radiation of Two ConnectedElastic Rectangular Enclosure

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摘要

利用汉密尔顿函数和瑞利-李兹方法,建立了分别由1块四边弹性支承的弹性板及5块刚性板构成 的两连接封闭矩形腔外的辐射声场模型,推导了腔体外辐射声场的解析解。模型在两个弹性长方体结构的连接 处施加假想的弹簧系统模拟不同连接条件,同时考虑了两弹性结构连接点之间以及弹性板与腔体内声场之间的 耦合。通过算例表明,间接力通过连接结构对弹性板辐射声场的影响明显小于弹性板在同样直接力作用下的辐 射声场;弹性结构连接点处线弹簧的刚度变化对辐射声场的影响较旋转弹簧大。

Abstract

The model of sound radiated from two connected rectangular enclosures consisting of one elastically supported flexible panel and five rigid panels is deduced by using Hamiltonian function and Rayleigh -Ritz method in this paper. By means of artificial springs along connected points of flexible panels, this model allows the consideration of a wide variety structure joint conditions. Numerical results on the radiation of sound are presented. These results are intended to investigate two main issues:one is that the direct force affects the radiation of sound more than the indirect force does, the other is that the translational stiffness at connected points affects the radiation of sound more than the rotational stiffness does.

关键词

辐射声场 / 连接 / 矩形封闭声腔 / 耦合

Key words

the radiation of sound / connection / rectangular enclosure / coupling

Author summay

姚昊萍 (1974- ) , 女 , 陕西西安市人 , 东南大学机械工程系博士生 , 主要研究方向为振动与结构声学

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两封闭弹性长方体连接结构的声辐射建模与分析[J]. 中国工程科学, 2007, 9(3): 41-46 DOI:

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