不同边界条件下截顶正交各向异性圆锥壳的振动和声辐射研究

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摘要采用波传播法和Galerkin法，研究了两端简支和固支边界条件对截顶正交各向异性圆锥壳的固有频率和声辐射的影响，通过与现有文献及数值仿真结果相比较，验证了理论分析的正确性。结果表明，简支和固支边界对正交各向异性圆锥壳固有频率的影响与圆锥壳半顶角的大小和母线与环向方向的弹性模量比的大小相关。当正交各向异性圆锥壳的半顶角较大时，对与不同的弹性模量比，固支圆锥壳的固有频率都大于简支圆锥壳的固有频率；而对于小半顶角的正交各向异性圆锥壳，当弹性模量比较小时，简支圆锥壳在大周向波数处的固有频率略大于固支圆锥壳的固有频率。随着圆锥壳半顶角的增大，两种边界对正交各向异性圆锥壳的声压级的影响也逐渐增大。

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关键词 ：正交各向异性圆锥壳, 固有振动, 声辐射, 边界条件

Abstract：The wave propagation approach and Galerkin method are employed to study the influence of the simply-supported and clamp-supported boundary conditions in both ends on natural frequency and acoustic radiation of a truncated orthotropic conical shell in this paper. In order to validate the present analysis, several comparisons of the numerical results are made with those published and numerical simulation. The results indicate that the influence of simply-supported and clamp-supported boundary conditions is related to the half cone angle and the ratios of elasticity modulus in meridianal and circumferential direction. The natural frequencies of the orthotropic conical shell with clamp-supported boundary are greater than that with simply-supported boundary for the larger half cone angle, but the natural frequencies of the orthotropic conical shell with simple-supported boundary are slightly larger than that with clamp-supported boundary in large circumferential wave number for the smaller half cone angle as the ratios of elasticity modulus is smaller. With the increase of the half cone angle, the effect of the two boundary conditions on the natural frequencies and sound pressure level increases too.

Key words： orthotropic conical shell natural vibration sound radiation boundary condition

收稿日期: 2014-10-08 出版日期: 2016-01-25

引用本文:

赵鑫1,2,张博1，李跃明1. 不同边界条件下截顶正交各向异性圆锥壳的振动和声辐射研究[J]. 振动与冲击, 2016, 35(3): 99-106.
ZHAO Xin1,2 ZHANG Bo1 LI Yue-ming1. Influence of boundary conditions on the vibration and sound radiation of a truncated orthotropic conical shell. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(3): 99-106.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I3/99

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