复合材料纵横加筋圆柱壳自由振动分析

Vibration Analysis of Composite Cylindrical Shells with Ring Stiffeners

使用能力法分析了两端简支复合材料纵横加筋圆柱壳的自由振动特性,从Love’s理论出发,分别计算壳体面板和纵横加筋结构的应变能和动能,在计算加筋结构应变能和动能时,将加筋结构的作用影响平均在整个壳体区域。然后代入Lagrange方程得到频率方程。通过比较,计算方法所得到的结果与文献比较吻合。采用平均法计算的结果比采用离散方法计算的结果偏小。还研究了壳体和加筋结构参数的变化对圆柱壳自由振动频率的影响。

The analytical solution for the free vibration of simply supported composite cylindrical shells with orthogonal stiffeners, are presented using The Rayleigh-Ritz method. The Loves theory based on the discrete stiffener theory is used to derive the obtained the strain and the kinetic energy for the composite cylindrical shells and the stiffeners respectively, then according to the Lagrange equation, the frequency equations can be deduced, which can be solved. The natural frequencies are compared with the previously published analytical results and good agreement is observed, The effect of shells and orthogonal stiffeners parameters on the frequencies are studied detailedly.