研究了环向加肋功能梯度圆柱壳的自由振动特性。假定功能梯度材料的体积分数沿厚度呈指数型分布，且环肋沿轴向任意布置，基于Sander壳体理论，采用Rayleigh-Ritz能量法建立了环肋功能梯度圆柱壳自由振动的固有频率特征方程，并推导出一端固定一端自由、两端简支等边界条件下的固有频率参数表达式。通过与已有文献数据的对比，验证了文中研究方法的有效性和正确性。最后通过算例，分析了材料体积分数、环肋位置以及几何参数等因素对环肋功能梯度圆柱壳固有频率的影响。%The vibration characteristic of functionally graded cylindrical shells with intermediate ring sup-port is studied. Material properties are graded in the thickness direction of the shell according to the volume fraction power law distribution. The intermediate supports of the shell are arbitrarily placed along the shell. Theoretical formulation is established based on the Sander’s shell theory. The shell eigenvalue governing equation is derived by using Rayleigh-Ritz method. Then the natural frequency of the cylindrical shell with Clamped-Free and Simply supported ends boundary conditions is obtained. The present analysis is validat-ed by comparing results with those in the literature. Results are presented on the influence of constituent volume fraction, ring support position and geometrical dimension.
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