The Method of Generalized Influence functions - Adjoint Sensitivity Analysis for the Effective and Efficient Numerical Design of Structures with special Application for Reliability and Uncertainty Modelling, 2nd research period

广义影响函数方法 - 有效且高效的结构数值设计的伴随敏感性分析，特别应用于可靠性和不确定性建模，第二研究期

• 批准号: 312865274
• 负责人: Professor Dr.-Ing. Kai-Uwe Bletzinger
• 金额: --
• 依托单位: Institut für Statik und Dynamik
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2016
• 资助国家: 德国
• 起止时间: 2015-12-31 至 2022-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/312865274?language=en
• 关键词: Method; Generalized; Influence; functions; Adjoint

Sensitivity analysis has not been implemented into everyday structural engineering. Great potentials for the numerical design of structures remain unexploited. Combining sensitivity analysis with uncertainty modeling may double the effect. Appropriate methods of sensitivity have the potential to boost engineering effectiveness and efficiency and may be rated as major candidates for innovation in the classical field of structural analysis. Research is necessary.The general goals of the project are carried forward for the second research period. We will serve with sensitivity information and all the systematic insight which may be derived from that. The theoretical basis is to efficiently determine 1st and 2nd order sensitivity analysis by the generalized influence function method. We will develop a complete set of methodologic tools and their underlying theory to (i) determine, (ii) visualize and (iii) process sensitivity information of first and second order. We will serve with interfaces to support applications for uncertainty quantification as well as for many other fields, e.g. robust design, structural optimization or the evaluation of parameter variations in all stages (from early to final) of design and production. This includes additive manufacturing as a prominent example of actual importance. In total, we will serve with data and methodologies to further push digital and innovative technologies for digital design and production. The project combines scientific challenge with practical relevance. The foundation of our further plans are the substantial results of the first research period in a broad range of subjects. The main goals of the second period are:• Extending the method of generalized influence functions to second order, adjoint sensitivity analysis• Developing various methods for a broad range of practical relevant engineering applications:o Derivative-based global sensitivity measures for uncertainty analysiso Forward and inverse problemso Further development of singular value decomposition for design updateo Design update procedures, e.g. for structural optimization• Investigating applications of engineering relevanceo Very large scale structural optimization o Robust design by including second order sensitivity informationo Systematic parameter variations in the digital design processo Parameter identification

敏感性分析尚未在日常结构工程中实施。结构数值设计的巨大潜力尚未开发。将敏感性分析与不确定性建模相结合可能会使效果加倍。适当的灵敏度方法有可能提高工程有效性和效率，并且可以被评为经典结构分析领域创新的主要候选方法。研究是必要的，项目的总体目标将在第二个研究期内实现。我们将提供敏感性信息和所有可能从中得出的系统性见解。其理论基础是利用广义影响函数法有效地确定一阶和二阶灵敏度分析。我们将开发一套完整的方法学工具及其基础理论，以（i）确定，（ii）可视化和（iii）处理一阶和二阶敏感性信息。我们将提供接口来支持不确定性量化以及许多其他领域的应用，例如稳健设计，结构优化或设计和生产的所有阶段（从早期到最终）的参数变化评估。这包括增材制造作为实际重要性的突出例子。总的来说，我们将提供数据和方法，进一步推动数字化设计和生产的数字化和创新技术。该项目将科学挑战与实际相关性结合起来。我们进一步计划的基础是第一个研究阶段在广泛的主题方面取得的实质性成果。第二阶段的主要目标是：· 将广义影响函数法推广到二阶伴随灵敏度分析 为广泛的实际相关工程应用开发各种方法：o 用于不确定性分析的基于导数的全局灵敏度度量 正逆问题o 用于设计更新的奇异值分解的进一步发展 设计更新程序，例如用于结构优化· 调查工程相关性的应用o 超大规模结构优化 包含二阶灵敏度信息的稳健设计 数字设计过程中的系统参数变化 参数辨识