基于子集模拟的连续体结构可靠性拓扑优化全局方法研究

项目名称： 基于子集模拟的连续体结构可靠性拓扑优化全局方法研究

项目编号： No.51308459

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 建筑科学

项目作者： 宋述芳

作者单位： 西北工业大学

项目金额： 25万元

中文摘要： 为了有效提高可靠性拓扑优化的计算效率及其在工程中的适用性，本项目旨在发展高效高精度的可靠性拓扑优化全局方法，并建立适合一般工程结构的可靠性拓扑优化软件平台。在结构参数化建模的基础上，考虑工程结构的不确定性因素，通过解除可靠性约束与拓扑优化设计的耦合性，结合连续体结构拓扑优化的变密度法，建立基于子集模拟的可靠性拓扑优化的全局求解方法，使其能以较高的概率在设计变量的维数退化成的低维可行域内搜索全局最优拓扑解，并且在一定程度上克服全局优化效率低的问题。基于传统的可靠性技术和拓扑优化设计方法，融合所提出的基于子集模拟的可靠性拓扑优化方法，编制通用性较好的可靠性拓扑优化软件，并采用所编制的通用软件系统对某型飞机机翼结构进行可靠性拓扑优化设计，以考核软件的有效性和通用性，使其能适用于宇航、机械等领域的结构设计中。本项目对完善可靠性拓扑优化的理论方法并得到合理可行的工程实现方案具有重要意义。

中文关键词： 可靠性；拓扑优化；全局灵敏度；代理模型；子集模拟

英文摘要： In order to effectively improve the computational efficiency and engineering applicability of the reliability based topology optimization, the project aims to develop the global reliability based topology optimization algorithm with both high efficiency and precision and to construct the general reliability based topology optimization software platform for engineering structure design. On the basis of the structural parameterized model, considering the uncertainties of engineering structure, directly integrating probability analysis and optimization design as single loop optimization strategy, combining with the variable density method of continuum topological optimization, the global reliability based topology optimization algorithm utilizing subset simulation is established to search the global topology optimal solution with a higher probability in the degradation low-dimensional feasible region of design variables and to raise the optimization efficiency. Based on the reliability techniques and topology optimization methods, integrating the proposed reliability based topology optimization based on subset simulation method, a general reliability based topology optimization software system should be constructed for general engineering structure. The design of aircraft wing can be used to validate the effectiven

英文关键词： reliability；topology optimization；global sensitivity；metamodeling；subset simulation