【摘要】 本文对静水压力作用下正交各向异性圆柱壳的自由振动特性进行了分析。基于Flugge壳体理论 ,列出了正交各向异性圆柱壳在静水压力作用下的振动微分方程 ,对于两端简支的边界条件 ,推导出关于静水压力和频率的特征方程。用代数方程求解公式得到方程的解析解。本文详细讨论了壳体参数 (L/R、h/R)和材料特性参数 (Eθ/EX)等对振动特性的影响。本文还分析了应用Love -Timoshenko、Donnell壳体理论的计算结果与Flugge理论的结果差异 ,同时指出文献 [1]的一个错误更多还原

【Abstract】 An analysis is presented for the free vibration of orthotropic circular cylindrical shell subjected to hydrostatic pressure. Based on Flugge shell theory, the equations of free vibrations of a orthotropic circular cylindrical shell under hydrostatic pressure are obtained. For shear diaphragms at both ends, the resulting characteristic equations about pressure and frequency are given. These 2 parameters are calculated exactly. The effects of shell’s parameters (L/R, h/R) and material features on the free vibration characters have been studied in detail. Difference between Love-Timoshenko, Donnell equations and that of Flugge are examined too. An error of reference has been pointed out.更多还原