偏心肋骨刚度对环肋功能梯度圆柱壳稳定性的影响

Effect of Rib Stiffness on Stability of Ring-stiffened Functionally Graded Cylindrical Shells with Rib Eccentricity

基于唐奈(Donnell)薄壳理论,考虑肋骨偏心影响,采用能量法推导静水压力下环肋功能梯度圆柱壳稳定性特征方程,并利用MATLAB软件求解特征方程,得到静水压力下环肋圆柱壳的屈曲临界载荷。通过与已有文献的对比分析,验证了本文计算方法的正确性。算例分析了静水压力下,考虑肋骨偏心的环肋功能梯度圆柱壳在不同周向波数、幂率指数、壳体长径比、肋骨型号和肋骨间距与半径比等情况下,屈曲临界载荷的变化规律。研究结果表明:圆柱壳屈曲临界载荷随着肋骨间距与半径比增大而减小,随肋骨刚度的增大而增大;肋骨刚度越大,肋骨偏心对圆柱壳稳定性的影响越显著。

Based on the Donnell thin shells theory,considering the influence of rib eccentricity,the stability equation of ring-stiffened functionally graded cylindrical shells under hydrostatic pressure was derived by using energy method. The buckling critical load of ring-stiffened functionally graded cylindrical shells under hydrostatic pressure was obtained by solving the stability equation via the MATLAB software. The method was validated by comparing with the results in the literature. By using numerical examples,the effects of the axis wave numbers,power law index,shell length-radius ratio,frame types and rib distance-radius ratio on the buckling load were illustrated. The results show that the buckling critical load of cylindrical shell disreaces with the increasing of the rib distance-radius ratio,and increases with the increasing of the rib stiffness. The larger rib stiffness,the more significant the effect of rib eccentricity on the stability of cylindrical shell is.