复合材料层合板蠕变屈曲与变形的优化问题

OPTIMIZATION OF CREEP BUCKLING AND DEFORMATION FOR VISCOELASTIC LAMINATED PLATES

将瞬时弹性失稳荷载、持久临界荷载和后屈曲持久变形刚度作为复合材料层合板蠕变屈曲与变形的优化指标,对几组纤维铺设方式进行讨论,构造多目标优化模型,就纤维铺设角进行优化分析.考虑横向剪切变形效应,分别利用Lap lace变换和准弹性方法,导出了这三个优化指标的计算公式.

This paper concerns the optimal design of buckling and deformation for viscoelastic laminated plates subjected to uniaxially in-plane compression and simply supported at four edges. The transient elastic critical load, durable critical load and stiffness of durable deformation at postbuckling stage are adopted as design indexes of the laminated plates. The method to formulate these design indexes involves the application of Laplace transformation to equilibrium equations and the solution of nonlinear governing equations for postbuckling analysis by quasi-elastic approach respectively. Five types of lamination configurations are considered, and the variation features of each design index with ply angle are examined. The paper defines a weighted objective function with the combination of three design indexes and the optimal solutions are numerically studied. It is expected that this multi-objective approach can lead to a well balanced performance of laminated plates.