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A theoretical approach to the optimization of flexural stiffness of symmetric laminates

机译：优化对称层压板弯曲刚度的理论方法

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摘要

A theoretical study is performed to optimize the design of symmetrically laminated plates with respect to fiber orientation and layer thickness. Rectangular plates simply supported along the edges and with transverse pressure load are considered. The expression for plate flexural stiffness is obtained using approximate energy approaches, such as Ritz-Rayleigh method, using different shape functions. Results of analytical solution are compared with results from finite element analysis, which show a good correlation between theoretical and numerical results. Optimality criteria are applied to the analytical expression of flexural stiffness to determine the optimality condition. A closed form solution is obtained for the fiber orientation and it is demonstrated that the optimal orientation of the fiber is unique and independent of the stacking sequence. Results are also obtained for the optimal values of thickness for each layer.
机译：进行了理论研究，以优化关于纤维取向和层厚度的对称层压板的设计。考虑沿边缘简单支撑并承受横向压力载荷的矩形板。使用不同的形状函数，使用近似能量方法（例如Ritz-Rayleigh方法）获得板的弯曲刚度表达式。将解析解的结果与有限元分析的结果进行比较，结果表明理论结果与数值结果之间具有很好的相关性。将最优标准应用于抗弯刚度的解析表达式，以确定最优条件。对于纤维取向获得了封闭形式的解决方案，并且证明了纤维的最佳取向是唯一的并且与堆叠顺序无关。还获得了每层厚度的最佳值的结果。

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