复杂工程产品基于多可信度近似的设计优化研究

项目名称： 复杂工程产品基于多可信度近似的设计优化研究

项目编号： No.51505439

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 机械、仪表工业

项目作者： 郑君

作者单位： 中国地质大学（武汉）

项目金额： 20万元

中文摘要： 本项目针对复杂工程产品设计优化中普遍存在的计算复杂度高难题，拟通过引入低可信度分析模型，研究如何利用高低可信度分析模型的数据来构建近似模型和利用该近似模型进行设计优化的方法：拟采用简单的样本分布作为构建单元，将其复制平移填充整个设计空间，以求能简单、快速的设计出任意大小的嵌套实验设计；拟对分析模型可信度水平进行定量分析，在不同设计区域内选择不同的低可信度分析模型，随后采用最小二乘支持向量回归技术和智能算法，对高低可信度分析模型进行映射，提出具有高预测精度和鲁棒性的多信度近似模型构建技术；动态变化下置信度边界函数的权重系数，结合随机采样，拟发展有效平衡局部开采和全局勘探的多点加点准则，在此基础上提出适应于多峰问题的序列优化策略，在保证优化结果精度条件下，实现多可信度近似模型的有效更新和优化求解；最后通过地质机械装备关键部件的设计优化进行验证。

中文关键词： 设计优化；近似模型；多可信度近似

英文摘要： This project aims to solve the problem of the high computational complexity which widely exists in design optimization of modern complex engineering products. By introducing low fidelity analysis models, this project plans to research the method of how to create approximation model utilizing the data of high and low fidelity analysis models, and the design optimization method based on that approximation model. In order to the designers to gain a nested experiment design with arbitrary size quickly and conveniently, the project will take simple sample distributions as building blocks which will be transport and propagate to the entire design space. The fidelity levels of analysis models will be quantitatively analysed, and according to this, different low fidelity analysis models will be chosen in the different area of the design space. Then a mapping relationship between high fidelity and low fidelity analysis models will be established based on least square support vector regression technique and intelligent algorithm, thus a multifidelity approximation modeling method with high predictive accuracy and robustness will be achieved. In order to effectively update and optimize the multifidelity approximations, a sequential optimization strategy based on an infilling criterion will be proposed. The infilling criterion which balances the local exploitation and global exploration will be developed by dynamic changing the weight parameters of lower confidence bounding function.Finally, the method proposed in this project will be validated by design optimization for a key component in the geological machinery equipment.

英文关键词： Design Optimization;Approximation Model;Multifidelity Approximation