基于铺层参数的铺层方式与纤维分布协同优化的层合板最大刚度设计

纤维增强复合材料层合板的弹性性质依赖于单层板的纤维含量(体分比)以及铺层方式(总层数、各单层的厚度与铺设方向)。本文研究在给定材料用量条件下层合板的最大刚度设计问题,采用铺层参数作为铺层方式的描述参数、以铺层参数和单层板纤维含量体分比在层合板面内的分布的描述参数为设计变量,以层合板的柔顺性最小为目标,建立了铺层方式和纤维分布协同优化的层合板最大刚度设计问题的提法和求解方法,给出了具有最大刚度的层合板最优铺层方式和纤维含量的分布规律的设计实例。

Simultaneous optimization of fiber distribution and layup for maximum stiffness of composite laminates using lamination parameters

Elastic properties of fiber reinforced composite laminates depend on fiber volume fraction and lay-up configuration (number of layers,ply angles and thicknesses).In this paper,the stiffness of fiber reinforced laminates with limited fiber volume fraction used is maximized by optimizing the lay-up and fiber distribution.In the formulation of this optimization problem,the design variables are the lamination parameters which are used to describe the layup of laminates and the characterization parameters which describe fiber volume fraction distribution in layers,the objective is the minimum compliance of laminates.Several design examples are shown for different rules of lay-up and fiber volume distribution.