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  

Influences of boundary conditions on the vibration and sound radiation of a truncated orthotropic conical shell

作　　者：赵鑫[1,2] 张博[1] 李跃明[1] 

机构地区：[1]西安交通大学机械结构强度与振动国家重点实验室,西安710049 [2]中国华阴兵器试验中心,陕西华阴714200

出　　处：《振动与冲击》2016年第3期99-106,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(11321062;91016008;91216107)

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。The wave propagation approach and Galerkin method were employed to study the influence of the simply-supported and clamp-supported boundary conditions at both ends on natural frequency and acoustic radiation of a truncated orthotropic conical shell. In order to validate the present analysis, the theoretical results were compared with those in published literatures and those by numerical simulation. The results indicate that the influences of simply-supported and clamp-supported boundary conditions are related to the half cone angle and the ratio of elasticity moduli in meridianal and circumferential directions. The natural frequencies of the orthotropic conical shell with clamp-supported boundary are greater than those with simply-supported boundary for the larger half cone angle, but the natural frequencies of the orthotropic conical shell with simply-supported boundary are only slightly larger than those with clamp-supported boundary under the modes with large circumferential wave number for the smaller half cone angle as the ratio of elasticity moduli is smaller. With the increase of the half cone angle, the effects of the two boundary conditions on the natural frequencies and sound pressure level both increase.

关 键 词：正交各向异性圆锥壳 固有振动 声辐射 边界条件 

分 类 号：V214.3[航空宇航科学与技术—航空宇航推进理论与工程] O422.6[理学—声学]