Combined shape and cross-section optimisation of composite structures based on the singular value decomposition of sensitivity matrices

基于灵敏度矩阵奇异值分解的复合材料结构形状和截面联合优化

• 批准号: 227160449
• 负责人: Professor Dr.-Ing. Franz-Joseph Barthold
• 金额: --
• 依托单位: Institut für Baumechanik, Statik und Dynamik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2012
• 资助国家: 德国
• 起止时间: 2011-12-31 至 2017-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/227160449?language=en
• 关键词: Combined; shape; cross; section; optimisation

Desigining composites with non-linear structural behaviour including stability phenomena is a demanding optimisation problem highly related to practice.The first goal is to develop an algorithm to automatically determine quantitativelyof the most relevant influences on the structural behaviour including stability aspects via objective and constraints functions. Modifications of the shell geometry and of the composite material will be considered. The enhanced analysis of the computed sensitivities will be performed using linear and non-linear methods of principal component analysis (PCA), e.g. the singular value decomposition (SVD). The results will be used to guide the automatic nonlinear programming algorithm as well as the intuitive interpretation of engineers.The second goal is the extension of the optimisation methods to solve combined problems consisting of optimising the geometry of the shell, the sub-division of the domain into sub-domains with identical composite material, and the optimal laminate parameters within these sub-domains.The method will be applied and tested on several industrial applications.

设计具有包括稳定性现象在内的非线性结构行为的复合材料是一个与实践高度相关的要求很高的优化问题。第一个目标是开发一种算法，通过目标函数和约束函数自动定量地确定对结构行为(包括稳定性方面)最相关的影响。将考虑对壳体几何形状和复合材料的修改。将使用主成分分析(PCA)的线性和非线性方法，例如奇异值分解(SVD)，对计算的灵敏度进行增强分析。其结果将用于指导自动非线性规划算法和工程人员的直观解释。第二个目标是将优化方法扩展到解决组合问题，包括优化壳体的几何形状、将区域细分为具有相同复合材料的子域以及这些子域内的最优层合参数。该方法将在几个工业应用中应用和测试。