含环向贯穿脱层的轴压圆柱层壳屈曲分析:I——基本方程与定解条件

BUCKLING OF LAMINATED CYLINDRICAL SHEL L WITH CIRCUMFERENTIAL DELAMINATION I—— BASIC EQUATIONSAND SOLUTION- DETERMINING CONDITIONS

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 。

Composite laminated cylindrical shell is a common load- carrying structure.Delaminations may arise from itsfabrication,transportand service,which will influence the load- carrying capacity of the cylindrical shell.So,it is necessary to model it correctly to investigate the load- carrying capacity of the delaminated cylindrical shell.In this paper,first,an axial- compressive cylinder shell including arbitrary delaminations in longitudinaland thickness and spanning the entire circumference was divid- ed into multiple sublaminated shellswhose axialand circumferentialdisplacementswere simulated with a cubic function of the thickness coordinate and a trigonometric series of circumferential coordinate. Then,the variational principle was applied to obtain the governing equations and determining condi- tions.Finally,the governing equationsand determining conditionswere described asstate- space forms and state- space scheme was used to solve the problem.