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采用分层壳理论和厚度方向的二次插值函数推导出正交铺设层合圆柱壳的动力响应方程 ,并得出简支层合圆柱壳自由振动问题的解 .对于给定算例 ,计算出的自振频率与三维分析的结果吻合良好 ,说明所推导的二维解具有足够精度 .计算了前四阶模态对应的壳中应力 .计算结果说明 ,对于高阶模态 ,层间应力相对于面内应力的比值远高于低阶模态的对应比值 ,高的层间正应力是高阶模态导致脱层破坏的主要原因 .
The dynamic response equation of the quadrately layered cylindrical shell is derived by using the theory of layered shells and the quadratic interpolation function of the thickness direction, and the solution to the free vibration of a simply supported laminated cylindrical shell is obtained. For a given example, The results show that the two-dimensional solutions derived from the first four modes have sufficient accuracy, and the stress in the shell corresponding to the first four modes has been calculated. The calculation results show that for the high-order mode, The ratio of internal stress is much higher than the corresponding ratio of low-order modes, and high inter-layer normal stress is the main reason that high-order modes lead to delamination.