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研究格栅非均匀分布效应对先进复合材料格栅加筋圆锥壳体稳定性的影响。首先,基于格栅间距沿母线方向的变化特征和等效平铺模型推导了格栅加筋圆锥壳体的等效刚度阵。其次,采用Donnell型扁壳理论推导了在均布外压作用下格栅加筋圆锥壳体稳定性分析的总势能表达式,利用最小势能原理得到了该壳体总体稳定性的临界载荷值,所得计算结果与实验结果十分吻合。最后,通过典型数例参数讨论,说明格栅非均匀分布效应对先进复合材料格栅加筋圆锥壳体稳定性的影响将随底锥角增大而显著。该文将为先进复合材料格栅加筋圆锥壳体的参数优化设计提供一种高效和可靠的分析方法。
The effect of grid nonuniform distribution on the stability of advanced composite grid stiffened conical shells was investigated. First, the equivalent stiffness matrix of the grid-stiffened conical shell is derived based on the variation of the grid spacing along the bus bar and the equivalent tiling model. Secondly, the total potential energy expression of the stability analysis of the grid-stiffened conical shell under uniform external pressure is deduced using the Donnell-type shallow shell theory. The critical load value of the overall stability of the shell is obtained by the principle of minimum potential energy, The calculated results are in good agreement with the experimental results. Finally, the typical parameter discussion shows that the influence of grid nonuniform distribution on the stability of advanced composite grid stiffened conic shells will be significant with the increase of base cone angle. This article will provide an efficient and reliable analytical method for parametric optimization of advanced composite grid stiffened conical shells.