非随机不确定性连续体结构可靠性拓扑优化方法研究

Topology optimization for continuum structures is extensively used in lightweight design of sophisticated aircraft wing box ribs. It is of great importance to reduce the weight of aircraft and improve the performance. However, up to date, many critical research issues in the areas of reliability based topology algorithm for continuum structures with non-stochastic uncertain parameters have not been addressed thoroughly or properly due to their complicated work conditions and manufacturing processes. With the aim of advancing the state of the art in reliability based topology algorithm of complex practical continuum structures with non-stochastic uncertainties, this proposal focuses on the following important research topics: (1) Study efficient fuzzy reliability based topology optimization algorithm for continuum structures with fuzzy parameters; (2)Investigate efficient fuzzy-convex set reliability based topology optimization approach for continuum structures with fuzzy-convex set parameters; (3) Develop reliability based topology optimization software to solve the optimization of the leading edge rib of an aircraft. The proposed research covers scientific research topics in the areas of topology optimization of sophisticated engineering systems subjected to non-stochastic uncertainties. The research results to be developed will provide a suite of novel theoretical methods and useful practical tools for reliability based topology optimization of aircraft wing box ribs with non-stochastic uncertain parameters.

机翼翼肋连续体结构特殊的工作环境及加工制造工艺导致载荷、材料特性、几何尺寸等参数呈现出复杂的不确定性，目前在含非随机不确定性参数的连续体结构可靠性拓扑优化方面尚存在若干关键问题亟待解决。本项目针对非随机不确定性连续体结构开展可靠性拓扑优化方法研究：(1)针对含模糊参数的连续体结构，提出模糊可靠性拓扑优化高效求解方法；(2)针对含模糊-凸集参数的连续体结构，提出模糊-凸集可靠性拓扑优化高效求解方法；(3)针对某机翼前缘翼肋结构，研究适用于工程应用的可靠性拓扑优化软件。本项目研究非随机不确定环境下大型复杂工程结构拓扑优化的重要科学问题，将为解决机翼翼肋结构的可靠性拓扑优化问题提供新思路和新方法，具有重要的科学意义和工程应用价值。

由于工程决策、可靠性分析、风险评估、工程系统优化设计、状态监测等诸多工业领域面临大量的不确定性因素，因此可靠性评估、优化设计、故障预测及健康管理长期以来都是国内外学术界和工程界重点热门研究领域。本课题首先构建了非概率不确定性因素下结构可靠性评估理论模型即模糊可靠性评估理论模型及模糊-凸集混合可靠性评估理论模型，解决了非概率不确定性因素下的可靠性评估问题，能够作为传统经典可靠性评估理论的提供重要补充，促进可靠性评估理论体系完善与发展；在此基础上，构建了非概率不确定性因素影响下的结构可靠性优化设计理论模型即模糊可靠性优化设计理论模型及模糊-凸集混合可靠性优化设计理论模型，进一步分别提出了直接求解方法及高效的目标性能求解方法，解决了模糊不确定性因素下及模糊-凸集混合不确定性因素下的结构优化设计问题，能够作为传统经典优化设计理论的提供重要补充，促进优化设计理论体系的完善与发展；而后对所提理论体系进行了应用验证。其次，本课题提出了一种基于信息熵的新的稳健优化设计方法，构建了一种全新的稳健优化设计理论，促进可靠性评估理论与优化设计理论的集成与融合，促进优化设计理论体系的完善与发展。最后，本课题提出了一种基于在线监测的性能退化预测、剩余寿命预测及动态可靠性评估方法，能够为设备运行可靠性评估及状态监测提供重要科学手段，能够促进可靠性评估、故障预测及健康管理理论体系的发展与完善。已发表论文8篇，其中SCI期刊论文6篇，研制软件3个，申请国家发明专利2项，参与举办2场学术会议；课题负责人获得陕西省2015年优秀博士学位论文。