有限长同轴共线弹性圆柱壳间互辐射阻抗计算

PDF(1841 KB)

振动与冲击 ›› 2013, Vol. 32 ›› Issue (17) : 14-18.

论文

有限长同轴共线弹性圆柱壳间互辐射阻抗计算

丁少虎，陈克安，马玺越，张冰瑞

作者信息 +

Mutual-radiation impedance of coaxial aligned finite length cylindrical shells

Ding Shao-hu, Chen Ke-an, Ma Xi-yue, Zhang Bing-rui

Author information +

文章历史 +

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（）比不同轴向波数（）的模态互辐射阻抗系数峰值大，和的差距越大，模态互辐射阻抗系数越小；增大两圆柱壳之间的间隔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。

Abstract

By means of Green’s function and generalized radiation impedance, the expressions of modal mutual-radiation impedance of two finite cylindrical shells with rigid baffle at each end are investigated based on modal expansion technique. Numerical results are also presented for specified radial velocity distribution. The results show that in low frequency, mutual-radiation impedance coefficients between two finite cylindrical shells is relative large. The peak of mutual-radiation impedance coefficients with same axial wave number is larger than that with different axial wave number; Radiation resistance and reactance coefficients become small when the difference of p and m increases; Mutual-radiation impedance generally decreases with increasing of the length of two finite cylindrical shells or the distance of two finite cylindrical shells. It offers the theoretical basis for analyzing the sound characteristics of multi-cabin cylindrical shells.

导出引用

丁少虎;陈克安;马玺越;张冰瑞. 有限长同轴共线弹性圆柱壳间互辐射阻抗计算[J]. 振动与冲击, 2013, 32(17): 14-18

Ding Shao-hu;Chen Ke-an;Ma Xi-yue;Zhang Bing-rui. Mutual-radiation impedance of coaxial aligned finite length cylindrical shells[J]. Journal of Vibration and Shock, 2013, 32(17): 14-18