基于目标层解分析方法的重水潜器多学科设计优化

Multidisciplinary design optimization of heavier-than-water AUV based on analytical target cascading method

采用一种新型的多学科设计方法——目标解析分流法进行重水潜器的概念设计。首先利用半经验法建立重水潜器的集成系统模型,并进行目标层解分析(ATC)优化模型;再应用增广拉格朗日惩罚函数松弛化方法,通过改进内外层嵌套式求解策略,减少内层循环病态子问题的求解计算时间,在内层循环得到收敛的同时,外层循环更新惩罚权重来获得可行解;随后改变惩罚函数权重,对比分析各种惩罚函数对求解效率的影响。由实验可得,应用增广拉格朗日惩罚函数松弛化求解的方法,保持计算精度的同时也提高了计算效率。最终获得的系统最优解与多维的一次设计优化问题所得到的最优解非常接近,证明了多学科设计优化能充分利用不同学科之间的相互作用所产生的协同效应,从而获得系统整体的最优解。

A new multidisciplinary design optimization,analytical target cascading（ATC）method,was adopted to carry out con-ceptual design of heavier-than-water（HTW）AUV.Firstly,a semi-empirical method was applied to establish an integrated sys-tem model for HTW as well as ATC optimization model.Secondly,the augmented Lagrangian penalty function relaxation method was applied by improving the inner and outer layers nested solving strategy,reducing computation time for solving the problem in the inner loop,and updating the weight of the outer loop to obtain a feasible solution.Then the penalty function weight was changed to analyze the affect for solving efficiency brought by various penalty functions.It can be extracted that the augmented Lagrangian penalty function relaxation method can reduce the number of iteration and keep the accuracy.The system optimal solu-tion obtained is close to the one calculated by multidimensional all-in-one design,which proves that multidisciplinary design optimization （MDO）can make full use of synergistic effect from the interaction among different subj ects to gain the system optimal solution.