摘要
在用渐近法求解任意旋转薄壳(圆柱壳和球壳除外)的轴对称自由振动方程时,在一定的频率参数范围内,存在转点问题。其中,对于存在唯一简单转点的情况,至今未获解决。本文解决了这一问题。
The differential equations governing axisymmetric free vibration of thin shells of revolution (except cylindrical and spherical shells) have turning points when the frequency parameter falls in some range. All six uniformly valid and entire asymptotic solutions are obtained in present paper, when the equations have a simple turning point. Those results have not been reported previously in literature.
出处
《力学学报》
EI
CSCD
北大核心
1990年第5期574-578,共5页
Chinese Journal of Theoretical and Applied Mechanics
关键词
壳
振动
转点
摄动
渐近解
shell, vibration, turning points differential equation
