复合材料变刚度薄圆环板的轴对称屈曲分析

假定正交各向异性薄圆环板的抗弯刚度沿径向按照任意函数形式连续变化,基于经典板壳理论推导出变刚度薄圆环板轴对称屈曲问题基本方程,并采用加权残值法计算了周边弹性约束时变刚度薄圆环板的临界屈曲值.与已有文献结果进行比较,验证了该方法的正确性和有效性.通过数值算例研究了弹性约束、刚度面内变化等对正交各向异性变刚度薄圆环板临界屈曲载荷的影响,研究结果可为复合材料变刚度薄圆环板的分析及优化设计提供参考.

Axisymmetric Buckling of Variable Stiffness Composite Annular Circular Plates

A classical plate theory is used to derive governing differential equations of axisymmetric buckling of orthotropic annular circular thin plates with in plane variable stiffness. Assume that the stiffness of the annular circular plates vary along radial direction according to any continuous function. Critical buckling values of the annular circular plates with variable stiffness for elastically restrained edges are calculated by the method of weighted residuals. Numerical results obtained are in good agreement with those given in the existing literatures. Finally, the effect of elastically restrained edges, variable stiffness and other parameters on the buckling of the annular circular plates with variable stiffness is also shown. The results can provide a reference on the optimization design for annular circular thin plates with variable stiffness.