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研究了指数型体积分数对功能梯度薄圆柱壳振动频率的影响.壳体厚度方向上的材料特性呈指数律变化.由Love薄壳理论,得到应变-位移及曲率-位移关系表达式.利用Rayleigh-Ritz方法,导出壳体的固有频率方程.假定轴向形态关系是典型的梁函数.壳体的固有频率取决于组合材料的体积分数.所得结果与已有文献的结果进行对比分析,说明本方法是正确的.
The influence of exponential volume fraction on the vibrational frequency of thin cylindrical shell with functionally graded shell was studied.The material properties in the shell thickness direction changed exponentially.The strain-displacement and curvature-displacement expressions were obtained by Love shell theory.The Rayleigh- -Ritz method to derive the shell’s natural frequency equation, assuming that the axial shape relationship is a typical beam function.The natural frequency of the shell depends on the volume fraction of the composite material.The results obtained are compared with the results of the existing literature, The method is correct.