Natural frequencies of rotating functionally graded cylindrical shells

Love’s first approximation theory is used to analyze the natural frequencies of rotating functionally graded cylindrical shells.To verify the validity of the present method,the natural frequencies of the simply supported non-rotating isotropic cylindrical shell and the functionally graded cylindrical shell are compared with available published results.Good agreement is obtained.The effects of the power law index,the wave numbers along the x-and θ-directions,and the thickness-to-radius ratio on the natural frequencies of the simply supported rotating functionally graded cylindrical shell are investigated by several numerical examples.It is found that the fundamental frequencies of the backward waves increase with the increasing rotating speed,the fundamental frequencies of the forward waves decrease with the increasing rotating speed,and the forward and backward waves frequencies increase with the increasing thickness-to-radius ratio.     

旋转功能梯度圆柱壳的固有频率计算

Love的一阶理论被用来计算旋转功能梯度圆柱壳的固有频率, 为了验证该方法的有效性,计算了简支不旋转各向同性和功能梯度圆柱壳的固有频率,计算结果与相关文献中的结果具有较好的一致性．通过几个数值算例,研究了幂指数、x和θ方向的波数、厚度-半径比对简支旋转功能梯度圆柱壳固有频率的影响．结果表明:后向波的固有频率随着转速的增加而增加,前向波的固有频率随着转速的增加而减小,前向波和后向波的固有频率随着厚度-半径比增加而增加．