CAJ | 학술논문

工程应用中在进行鲁棒性优化设计时，要求所求出的解既要具有较高的质量，又要满足一定的鲁棒性要求。将鲁棒性优化问题转化为一个双目标的优化问题，即一个目标为解的最优性，另一个目标为解的鲁棒性，并针对一艘最大应力接近许用应力的多用途船进行基于鲁棒性的中横剖面优化设计。首先，用支持向量机的方法建立船体舱段的近似模型，用于求取舱段的最大应力，并结合蒙特卡罗积分的思想构造出表示最大应力鲁棒性的函数；随后，以最大应力最小和最大应力的鲁棒性函数值最小为目标函数，设计出一种求解鲁棒性最优解的粒子群多目标优化算法。优化结果不仅能降低船体结构的最大应力，同时还可较大程度地提高最大应力的鲁棒性，证明了该方法的可行性。
공정응용중재진행로봉성우화설계시，요구소구출적해기요구유교고적질량，우요만족일정적로봉성요구。장로봉성우화문제전화위일개쌍목표적우화문제，즉일개목표위해적최우성，령일개목표위해적로봉성，병침대일소최대응력접근허용응력적다용도선진행기우로봉성적중횡부면우화설계。수선，용지지향량궤적방법건립선체창단적근사모형，용우구취창단적최대응력，병결합몽특잡라적분적사상구조출표시최대응력로봉성적함수；수후，이최대응력최소화최대응력적로봉성함수치최소위목표함수，설계출일충구해로봉성최우해적입자군다목표우화산법。우화결과불부능강저선체결구적최대응력，동시환가교대정도지제고최대응력적로봉성，증명료해방법적가행성。
The relatively high quality and robustness are quite essential in the engineering robust optimiza-tion design. Therefore, in this paper, the robust optimization problem is converted into a two-objective opti-mization problem, with one objective being the optimization of solutions, and another being the robustness of solutions. The robust optimization design is implemented to the transverse section of a multi-purpose ship whose maximum stress is close to the allowable stress. Firstly, the approximate model of the hull cabin is constructed by using the method of Support Vector Machines (SVM) to obtain the maximum stress. Then, by combining with the idea of Monte Carlo integration, the function that represents the robustness of the maximum stress is constructed. Finally, aiming to minimize the maximum stress and the robustness func-tion, the multi-objective optimization method is proposed to solve the robust optimization task. Optimiza-tion results not only demonstrate a reduction in the maximum stress of the hull structure, but also a great im-provement in the robustness of the maximum stress, proving the feasibility of the presented method.