基于区间分析方法的船舶不确定稳健设计优化
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摘要
实际船舶优化设计中,大量不确定因素的存在可能会导致船舶性能达不到预定的设计目标。为了保证船型方案的可行性,将区间分析方法应用到不确定稳健设计优化中,以一条散货船的概念设计为例,针对单个不确定变量存在和多个不确定变量共同存在的情况分别进行研究,以单位运输成本的中值和半径最小为目标,采用双层嵌套优化体系,内层采用多岛遗传算法求解目标函数的区间,外层采用NSGA-II算法来优化目标函数,从而保证船舶的稳健性。
In the actual ship optimization design, the existence of a large number of uncertain factors may lead to the performance of the ship cannot reach the intended design goals. In order to ensure the feasibility of the ship forms, the interval analysis method is applied to the uncertain robust optimization design. Taking the conceptual design of bulk carriers as an example, in the case of uncertain variables single existence and multiple co-existence, the study is conducted respectively. Minimizing the median and radius of unit transportation costs as the target, double nested optimization structure is used. The inner layer uses the MIGA(Multi Island Genetic Algorithm) to solve the interval of the objective function. The outer layer uses the NSGA-II algorithm to optimize the objective function to ensure the robustness of ship.
In the actual ship optimization design, the existence of a large number of uncertain factors may lead to the performance of the ship cannot reach the intended design goals. In order to ensure the feasibility of the ship forms, the interval analysis method is applied to the uncertain robust optimization design. Taking the conceptual design of bulk carriers as an example, in the case of uncertain variables single existence and multiple co-existence, the study is conducted respectively. Minimizing the median and radius of unit transportation costs as the target, double nested optimization structure is used. The inner layer uses the MIGA(Multi Island Genetic Algorithm) to solve the interval of the objective function. The outer layer uses the NSGA-II algorithm to optimize the objective function to ensure the robustness of ship.
引文
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[8]李冬琴,赵欣.基于多维PC扩展的多学科稳健优化算法研究[J].舰船科学技术,2016,38(1):132-136.
[9]蒋国伟,冯佰威,常海超.基于蒙特卡罗模拟的船体型线稳健优化设计[J].江苏船舶,2016,33(3):1-5.
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[13]巩郭卫,孙靖.区间多目标进化优化理论与应用[M].北京:科学出版社,2013.
[14]董荣梅.面向工程不确定问题的稳健优化设计理论和方法研究[D].辽宁大连:大连理工大学,2010.
[15]HANNAPEL S,VLAHOPOULOS N.Robust and Reliable Multidiscipline Ship Design[C]//Aiaa/Issmo Multidisciplinary Analysis Optimization Conference.2013.
[16]DIEZ M,PERI D.Robust Optimization for Ship Conceptual Design[J].Ocean Engineering,2010,37(11):966-977.
[17]侯远航,梁霄.不确定性优化方法在船型优化设计中的应用[J].华中科技大学学报,2016,44(6):72-77.
[2]王婷.高速客车轴箱悬挂参数稳健优化设计[D].长沙:中南大学,2014.
[3]HANNAPEL S,VLAHOPOULOS N.Introducing Uncertainty in Multidiscipline Ship Design[J].Naval Engineers Journal,2010,122(2):41-52.
[4]HANNAPEL S.Development of Multidisciplinary Design Optimization Algorithms for Ship Design under Uncertainty[D].Ann Arbor:The University of Michigan,2012.
[5]HART C G.Multidisciplinary Design Optimization of Complex Engineering Systems for Cost Assessment under Uncertainty[D].Michigan:University of Michigan,2010.
[6]DIEZ M,CHEN X,CAMPANA E F,et al.Reliability-based Robust Design Optimization for Ships in Real Ocean Environment[C]//In Proceeding of 12th International Conference on Fast Sea Transportation.2013.
[7]李冬琴,蒋志勇,赵欣.多维随机小确定性下的船舶多学科稳健设计优化研究[J].船舶工程,2015,37(11):61-66.
[8]李冬琴,赵欣.基于多维PC扩展的多学科稳健优化算法研究[J].舰船科学技术,2016,38(1):132-136.
[9]蒋国伟,冯佰威,常海超.基于蒙特卡罗模拟的船体型线稳健优化设计[J].江苏船舶,2016,33(3):1-5.
[10]ZAMAN K,MAHADEVAN S.Robustness-based Design Optimization of Multidisciplinary System under Epistemic Uncertainty[J].AIAA Journal,2013,51(5):1021-1031.
[11]DIEZ M,PERI D.Global Optimization Algorithms for Robust Optimization in Naval Design[C]//8th International Conference on Computer Applications and Information Technology in the Maritime Industries,2009.
[12]姜潮.基于区间的不确定性优化理论与算法[D].长沙:湖南大学,2008.
[13]巩郭卫,孙靖.区间多目标进化优化理论与应用[M].北京:科学出版社,2013.
[14]董荣梅.面向工程不确定问题的稳健优化设计理论和方法研究[D].辽宁大连:大连理工大学,2010.
[15]HANNAPEL S,VLAHOPOULOS N.Robust and Reliable Multidiscipline Ship Design[C]//Aiaa/Issmo Multidisciplinary Analysis Optimization Conference.2013.
[16]DIEZ M,PERI D.Robust Optimization for Ship Conceptual Design[J].Ocean Engineering,2010,37(11):966-977.
[17]侯远航,梁霄.不确定性优化方法在船型优化设计中的应用[J].华中科技大学学报,2016,44(6):72-77.