Abstract: To improve the solution speed of fiber orientation optimization problem,the Dichotomy Angle Refinement Discrete Material Optimization (DRDMO) was proposed.Compared with the Discrete Material Optimization (DMO) method,the DRDMO method could reduce the number of candidate materials and the number of design variables,which could effectively improve the solution efficiency without reducing the optimization effect.The DMO method and DRDMO method were used to optimize the same structure,and the different objective function values and solution speed were compared.The optimization results showed that when the same candidate material was used,the objective function value obtained by the DRDMO method was smaller and the solution speed was faster.With the increasing of the number of candidate materials,the time growth rate of the DRDMO method was much smaller than that of the DMO.The proposed method had higher computational efficiency when solving the fiber orientation optimization problem with a large number of candidate materials,and provided a new solution method for the fiber orientation optimization problem of single-layer plates.

Key words: composite material, discrete materials optimization, fiber orientation, design optimization

摘要： 为了提高纤维取向优化问题的求解速率,提出一种基于二分法角度细化的离散材料优化(DRDMO)方法。相比离散材料优化(DMO)方法,使用DRDMO方法可以减少候选材料的数量,并以此减少设计变量的求解个数,在不降低优化效果的同时,可有效提高求解效率。通过使用DMO方法和DRDMO方法对相同结构进行了优化求解,对其产生的不同目标函数值及求解速度进行了比较。优化结果表明,在使用相同候选材料时,DRDMO方法求得的目标函数值更小,求解速度更快,并且随着候选材料数量的增加,DRDMO方法所用时间增长速度远小于DMO所用时间,这种方法在求解具有大量候选材料的纤维取向优化问题时具有更高的计算效率,为单层板纤维取向优化问题提供了一种新的求解方法。

关键词: 复合材料, 离散材料优化, 纤维取向, 优化设计