中文摘要：

边界条件对环肋圆柱壳的振动特性有重要影响.基于能量法,把环肋看作离散模型,构建了任意边界条件下加环肋圆柱壳的动力学模型.采用一种改进的傅里叶级数作为位移容许函数,通过瑞利里兹程序求解结构的拉格朗日方程,得到环肋圆柱壳的振动模态和频响特性.通过与实验和有限元（FEM）方法的计算结果进行对比,验证了论文方法的准确性,在此基础上分析了环肋偏心方式、截面尺寸、位置分布和边界弹簧刚度等参数对环肋圆柱壳振动特性的影响.

英文摘要：

The vibration of a ring-stiffened cylindrical shell is an important technical issue in engineer- ing applications, such as pressure vessels, rockets and submerged marine structures. The presence of structural discontinuities and arbitrary boundary conditions does not permit an analytical solution, so we have to resort to numerical approaches to address the problem. Two approaches have been developed to de termine the dynamic behavior of ring-stiffened cylindrical shell. One approach, called the smeared ap- proach, assumes that the stiffeners are close together with equal spacing and are evaluated by averaging their properties over the surface of the shell. For a more general model, the ring stiffeners have to be trea- ted as discrete elements, and many methods have been proposed by researchers. The existing literature was restricted to the calculation of vibration characteristics of ring-stiffened cylindrical shell with only a few classical boundary conditions, such as the free, simply supported and clamped boundary conditions. With the changes of boundary conditions, the displacement functions and boundary parameters should be changed, which means more functions and programs should be built. The main objective of this paper was to develop an alternative and unified solution for the vibration analysis of ring-stiffened cylindrical shell with arbitrary elastic boundary conditions. In this paper, an improved Fourier series was introduced as an admissible displacement function. Based on the energy method, the dynamic model of ring-stiffened cylindrical shell with arbitrary boundary conditions was constructed while the stiffeners were treated as discrete elements. The Rayleigh-Ritz technique was used to solve the Lagrange＇s function of the structure, and the vibration modes and frequency response characteristics were obtained. The accuracy of the present method was validated by comparing the results with those from the modal experiment and calculated using the finite element method （FEM）. In addition, the eff