复合材料纵横加筋圆柱壳自由振动分析

使用能量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,然后代入Lagrange方程得到频率方程.通过比较,文中的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.最后还研究了壳体和加筋结构参数以及静水压力的变化对圆柱壳自由振动频率的影响.文中利用平均法来处理加筋结构,简化理论推导并减少了计算.

Vibration Analysis of Composite Cylindrical Shells with Stringer and Ring Stiffeners

The analytical solution for the free vibration of simply supported composite cylindrical shells with stringer and ring stiffeners is presented by using energy method.The Love's theory based on the averaging stiffener theory is used to derive the strain and the kinetic energy of the composite cylindrical shell and the orthogonal stiffeners respectively.Then according to the Lagrange equation,the frequency equations can be deduced.The natural frequencies are compared with the previously published analytical results and a good agreement is observed.The effects of shells and orthogonal stiffeners parameters such as the shell thickness-to-radius ratio, the shell length-to-radius ratio,the stiffener's height, on the frequencies are studied. In addition, the effect of hydrostatic pressure is also discussed. In this paper, the averaging method is used to dispose the stringer and ring stiffeners, which has simplified the theoretic deduction and reduced the calculation.