有限长同轴共线弹性圆柱壳间互辐射阻抗计算  

Mutual-radiation impedance of two coaxial aligned cylindrical shells with finite length

作　　者：丁少虎[1] 陈克安[1] 马玺越[1] 张冰瑞[1] 

机构地区：[1]西北工业大学航海学院,西安710072

出　　处：《振动与冲击》2013年第17期14-18,共5页Journal of Vibration and Shock

基　　金：高等学校博士学科点专项科研基金(20096102110007);航空科学基金(2011ZA53004)资助

摘　　要：基于圆柱壳的模态展开技术,利用Green函数法和广义辐射阻抗公式,推导了无限长刚性圆柱障壳上两段有限长弹性圆柱壳的互辐射阻抗计算公式,并对不同的径向速度分布形式进行了数值分析。结果表明:低频时,两段圆柱壳之间的模态互辐射阻抗系数比较大;相同轴向波数(m'=m)比不同轴向波数(m'≠m)的模态互辐射阻抗系数峰值大,m'和m的差距越大,模态互辐射阻抗系数越小;增大两圆柱壳之间的间距或同时增大两圆柱壳的长度,模态互辐射阻抗系数总体上逐渐减小。研究结果为分析多舱段圆柱声场特性奠定基础。By means of Green's function and the generalized radiation impedance formula, the formulas for modal mutual-radiation impedance of two finite length cylindrical shells with rigid baffle at each end were derived based on the modal expansion technique of a cylindrial shell. Numerical results were also presented for different radial velocity distributions. The results showed that in a lower frequency range, mutual-radiation impedance coefficients between two finite length cylindrical shells are relatively larger; the peaks of mutual-radiation impedance coefficients with the same axial wave number are larger than those with different axial wave number; radiation resistance and reactance coefficients become smaller when the difference of p and m increases; mutual-radiation impedance coefficients generally decrease with increase in lengths of two finite length cylindrical shells or the distance between two cylindrical shells. The results provided a theoretical basis for analyzing the sound characteristics of multi-cabin cylindrical shells.

关 键 词：多舱段 圆柱壳 互辐射阻抗 

分 类 号：TB533[理学—物理]