横向载荷作用下复合材料层板的铺层优化设计

ON OPTIMUM ANALYSIS OF LAMINATES UNDER LATERAL LOAD

  • 摘要: 本文讨论了双向增强层合板在横向载荷作用下的铺层优化分析。文中首先证明了具有最高固有频率及最小挠度的最优结构必定是对称铺设结构,进一步还说明了上述优化问题可化为单设计变量优化问题,本中导出了相应的极其简单的计算公式。

     

    Abstract: The present paper provides a theoretical proof for that the natural frepuency of laminated plate under lateral load can be reduced and the deflection of the plate increased by the coupling between bending and extension.The expressions of the natural frequency and deflection under lateral load for laminates have been derived.It is proved that the expressions of both the natural frequency and the deflection consist of two terms.The first term which is as the same as corresponding expression of symmetrical laminate is positive and the second term negative,which is the influence of the coupling between beetling and extension.The laminates which give the highest natural freuluencv and the lowowest deflection are found to he symmetrical laminates from optimum analysis of laminates.

     

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