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复合材料层合圆柱壳是一种常用的承载结构,在其制造、运输和使用过程中可能会出现脱层,这将影响圆柱壳的承载能力,因此,建立正确的分析模型来研究脱层壳的承载能力是非常有必要的.首先将含任意位置环向贯穿脱层的轴压圆柱壳分成多段子壳,用厚度的三次多项式和环向的三角级数模拟脱层壳屈曲时子壳的轴向和环向位移;然后利用变分原理导出了脱层壳的屈曲方程和定解条件;最后,将控制方程和定解条件写成状态空间形式并在轴向用状态空间方法进行求解.

参考文献

[1] Troshin V P. Effect of longitudinal delamination in a laminar cylindrical shell on the critical external pressure [J]. J of Composite Materials, 1983, 17(5): 563-567.
[2] Sallam S, Simitses G J. Delamination buckling of laminated cylindrical shells under axial compression [J]. Composite Structures, 1987, 7(2): 83-101.
[3] Simitses G J, Chen Z Q. Delamination buckling of pressure-loaded thin cylinders and panels [A]. In: Marshall I H ed. Composite Structures 4--In: Proceedings of the 4 International Conference on Composite Structures [C]. London: Elsevier Applied Science Publishers, 1987. 294-306.
[4] Chen Z Q, Simitses G J. On the postbuckling behavior of a delaminated thin cylindrical shell [A]. In: Marshall I H ed. Composite Structures 5--Proceedings of the 5 International Conference on Composite Structures [C].London: Elsevier Applied Science Publishers, 1989. 447-465.
[5] Kardomateas G A, Chung C B. Thin film modeling of delamination buckling in pressure loaded laminated cylindrical shell [J]. AIAA J, 1992, 30(8): 2119-2123.
[6] 李思简, 万晖. 层合圆柱壳体表层矩形分层屈曲分析. 上海交通大学学报, 1990, 24(5, 6): 164-172.
[7] Chattopadhyay A, Gu H. Modeling of delamination buckling in composite cylindrical shells with a new higher-order theory [J]. Composites Science and Technology, 1995, 54(2): 223-232.
[8] Gu H, Chattopadhyay A. Delamination buckling and postbuckling of composite cylindrical shells [J]. AIAA J, 1996, 34(6): 1279-1286.
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