多维随机不确定性下的船舶多学科稳健设计优化研究

Ship Multidisciplinary Robust Design Optimization under Multidimensional Stochastic Uncertainties

通常船舶多学科设计优化仅考虑确定性的影响,忽视设计中不确定性因素的存在,显然优化结果无法真正保障船型方案的可行性和航行性能的优良性。目前,不确定性船舶多学科设计优化主要集中在一维不确定性分析。为了得到船舶设计优化的最优方案,以多维不确定性下的多学科稳健设计优化问题为例,通过分析考虑随机不确定性因素的均匀分布和正态分布并存分布状况,提出了一种新的以Legendre polynomials和Hermite polynomials多项式为基础的多维多项式混沌方法,并以海洋平台支持船为对象构建多维不确定性量化模型。通过对多维随机不确定性因素对船舶优化方案的影响分析完成了船舶多学科稳健设计优化研究,有效地减少和避免船舶设计优化方案失效的可能性。

Generally the multidisciplinary design optimization in ship design only considers the impact of certainties with ignoring the existence of uncertainties in the design. The results of the optimization obviously can＇t really guarantee the feasibility of ship hull and excellence of sailing performance. Currently, uncertainty multidisciplinary design optimization of ship focuses on one dimension of uncertainty analysis. To obtain the optimal solution of ship design, the problem of multidisciplinary robust design optimization under multi-dimensional uncertainties is studied in the paper by analyzing and considering uniform distribution and normal distribution of random uncertainties. It deduces a new multi-dimensional polynomial chaos approach based on Legendre polyomials and Hermite polynomials. It is established the mathematical models of multi-dimensional uncertainty quantification while considering offshore supply vessel as the research object. By analyzing the influence of multi-dimensional stochastic uncertainties to the ship design optimization, the research of ship robust multidiseiplinary design optimization is completed. The possibility offailure in ship design optimization is effectively reduced and avoided.