摘要
本文提出了一种新的多学科设计协同优化方法,并将其应用于潜艇分舱设计中。该方法在系统级通过学科级耦合变量的折中来得到系统级耦合变量,采用各学科级目标函数加权和来综合评价设计的优劣,避免了系统级优化过程,解决了标准协同优化算法系统级优化前期不收敛的不足,从而改善了数值稳定性,同时减少了总的计算迭代次数;在学科级目标函数中构建一致性惩罚函数,最终实现耦合变量之间的协调;在约束条件中实施变精度控制,逐步达到预期的精度要求,从而提高收敛性,并减少计算量。本文给出了新算法所得全局最优点即为所求原问题全局最优点的理论证明,并针对典型减速齿轮箱多学科设计优化问题,通过与标准协同优化算法在数值实验中的对比分析,验证了本方法在计算结果的收敛性、数值稳定性及可靠性等方面有优越性,最后通过在潜艇分舱设计中的应用体现了其工程实用价值。
An improved multidiscipline collaborative optimization algorithm is presented and is applied to submarine subdivision design. In which, at system-level the coupling variables are obtained by averaging the coupling variables obtained from the optimization of the disciplines and the system-level evaluation function is defined as the weighting sum of interdisciplinary objective functions. By doing so, system-level optimization is no longer required. The problem of violated compatibility constraints during the course of the optimization in standard collaborative optimization algorithm will not existed and therefore the computational burden is reduced and numerical stability is improved. While the interdisciplinary compatibility is achieved by introducing the penalty functions regarding the coupling variables between system-level and discipline levelin the objective functions of the disciplines. The computation burden is reduced by setting different precision requirements for the constraint conditions during the course of optimization and the convergent efficiency is improved accordingly. The proposition that the optimal point obtained by the new algorithm is equal to the optimal point obtained by the original one is proved. The better convergence, highly numerical stability and reliability of the new algorithm are demonstrated by comparing the results obtained from the standard collaborative optimization algorithm for the famous gearbox optimization problem. In the study, the new algorithm is also used to attack the submarine subdivision oroblem and ~ood result is also achieved.
出处
《中国造船》
EI
CSCD
北大核心
2011年第2期87-99,共13页
Shipbuilding of China
关键词
多学科设计优化
协同优化算法
潜艇分舱设计
multidiscipline design optimization
collaborative optimization
submarine subdivision design
