有限长半充液圆柱壳振动特性分析

Vibration characteristics analysis of finite cylindrical shells semi-filled with liquid

基于能量泛函变分原理,研究有限长半充液圆柱壳自由振动特性和受迫振动特性。壳体各向位移采用三角级数与傅立叶级数的组合形式,利用三角级数与傅立叶级数的正交性,在变分后可消去其他2个方向的位移,只保留径向位移。通过对固液耦合接触面连续条件的正交化处理以及自由液面边界条件,可建立流体载荷幅值与径向位移幅值的关系,最终得到流固耦合控制方程。结果对比表明,能量泛函变分方法正确、有效,可为求解半充液圆柱壳固液耦合振动问题提供新的思路。

Free vibration and forced vibration characteristics of finite cylindrical shells semi-filled with liq-uid are studied in this paper, based on the energy functional variational principle. The combined form ofthe triangular series and the Fourier series is used to represent the displacement of the cylindrical shell,and the orthogonality is then used to eliminate the displacement on the other two directions after the varia-tion, where only the radial displacement is kept. The relationship between the amplitudes of fluid load andthe amplitudes of the radial displacement is established with the orthogonal processing of the continuousconditions of the solid-liquid coupling contact surface and the boundary conditions of the free liquid sur-face. Finally, the fluid structure coupling control equation is obtained. The results show that the proposedmethod is both correct and effective; in addition, it provides a new thought for solving similar problems.