环肋圆柱壳自由振动分析的能量法

本文使用Reyaeigh-Ritz法分析了环肋圆柱壳自由振动特性。从Fluegge经典壳体理论出发，考虑肋间壳板的变形以及肋骨在两个轴方向上的弯曲变形，把能量方程成为一个代数特征值问题。本文详细讨论了肋骨的布置型式，数量和刚度的变化对于环肋圆柱壳自由振动频率的影响。本文引入应变能因子讨论了环肋和壳体之间的相互作用。对总体振动和局部振动的问题进行了分析和探讨。

Energy Method for Free Vibration Analysis of Ring-stiffened Cylindrical Shells

This paper presents a method for the determination of natural frequencies of ring-stiffened cylindrical shells.The method is based on Flugge shell theory and the energy function that includes energy of bending in two planes and the rotary inertia of rings. The energy equations lead to an eigenvalue problem that is solved using a standard method. The effects of ring＇s parameters on the dynamic characteristics of ring-stiffened shells are studied in detail.The strain energy ratios are used to analyze the interactions of shells and rings.The global and local vibrations of ring-stiffened shells are discussed,too.