内充可压流体横观各向同性圆柱壳的自由振动

Free vibrations of transversely isotropic finite cylindrical shells filled with compressible fluid

本文从三维弹性理论出发，将三个位移分量用位移函数表示，位移函数用正交级数展开后得到了两端简支横观各向同性圆柱壳自由振动频率方程．对于频率方程中有可能出现的复宗量的Ｂｅｓｓｅｌ函数形式的解进行了研究，并考虑了内充可压流体对壳体自由振动的影响．给出了若干算例，并与壳体理论作了比较．

hree displacemental functions are chosen to represent three displacements according tothe three dimensional theory. After expanding these displacemental functions with orthogonal series,the free vibration equation of transversely isotropic shells with ends simply supported can be derived. Although the equation composes of Bessel Functions with complex arguments, we find a way to solve it. The effects of compressible fluid which is filled withinthe shells are also considered and calculated. Some examples are presented alld compared tothe conclusions of shell theory.