摘要
以往在考虑薄壁圆柱的弹性振动时，大多采用所谓薄膜理论进行分析。本文则运用弹性力学的薄壳理论对薄壁弹性圆管的径长耦合振动作了详细分析，从振动方程到一般解，以及在几种不同边界条件下的特征频率方程，并结合有关参考文献的结果进行了计算。理论分析与计算结果表明，薄壳理论不仅在定性分析中能够更好地给出物理解释，而且在定量计算中也更接近实验结果。
The membrane theory is widely used in analyzing vibrations of thin-walled cylindrical tubes.Here we use the shell theory of elasticity to analyze the radial-longitudinal coupled vibration of finitedthin-walled elastic cylindrical tubes in this paper. Vibration equations and general solutions as well asthe eigenfrequency equations under different boundary conditions are studied. Analytic and calculatedresults showed that the shell theory can not only give more perfect explanation in analysis, but also givemore perfect results in calculation
出处
《声学学报》
EI
CSCD
北大核心
1996年第3期224-230,共7页
Acta Acustica
基金
国家教委博士点基金
