摘要
用奇异摄动理论给出了一般形状旋转薄壳的低频自由振动解。此时,本征模态在壳内是无矩的,在边界附近存在边界层。文中列出了全部可能的齐次边界条件下的求解步骤和结果。最后,给出了圆柱壳的数值算例。
In this paper, it gives an asymptotic solution on the vibration of the general thin shells of revolution with low frequencies by the use of the theory of singular perturbation. In the extent of low frequency, the natural modes are membrane solutions along the middle surface, yet it exists boundary layers in the neighborhood of the edges. A numerical example for the low-frequency vibration of a circular cylindrical shell is given.
出处
《上海力学》
CSCD
1990年第4期41-50,共10页
Chinese Quarterly Mechanics
