轴对称加载的圆柱壳体的径向振动

Radial Vibration of Axisymmetrically Loaded Cylinder Shells

建立了轴对称加载的圆柱壳体径向自由振动和强迫振动的微分方程,并求得其通解。给出了主振型函数的表达式及常见支承条件下壳体的频率方程。用广义函数讨论了壳体在不同形式载荷作用下的径向强迫振动响应。

Differential equation of free/forced vibrations of axisymmetrically loaded cylinder shells are established, and their general solutions are obtained. The expressions of the main vibration functions and frequency equations of the shells on the common supports are derived. The radial forced responses of such shells under different type loads are discussed with the generalized functions.