ERI: Representations of Complex Engineering Systems via Technology Recursion and Renormalization Group

ERI：通过技术递归和重整化群表示复杂工程系统

• 批准号: 2301627
• 负责人: Hao Chen
• 金额: $ 20万
• 依托单位: Stevens Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-09-01 至 2025-08-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2301627&HistoricalAwards=false
• 关键词: ERI; Representations; Complex; Engineering; Systems; ERI; Representations; Complex; Engineering; Systems

This Engineering Research Initiation (ERI) project aims to supplement essential missing knowledge for representing and managing engineering design problems at large and extreme scales. Inspired by the striking similarities between complex physical systems and complex engineering systems, we will consider primitive technologies as fundamental building blocks that form components, subsystems, systems, and eventually, systems of systems, which is analogous to the hierarchical physical world, where particles form atoms, which in turn form molecules, cells, organisms, planets, and galaxies. This research will establish a rigorous mathematical foundation that enables: (a) systematic investigation of the statistical pattern of technology emergence in the time dimension during and after a given technical project; and (b) dynamic system representation and re-evaluation to interpret potential system behaviors with the existing technology pool. This research establishes a new understanding of the fundamental dynamics of system evolution during the design process and provides a bottom-up perspective to handle unreliable system model representations and unexpected design outcomes for complex engineering systems. We will test the framework using the Apollo and Artemis programs as two applications at extreme scales to investigate technology evolution and the spillover effect during and after each project. This research will generate new knowledge that can enhance our understanding of the underlying causes of cost and schedule overruns at both the technology and system levels. Such insights can inform decision-making processes for future space missions and complex engineering programs in various industries. This project will also strive to engage broader interest in engineering design and space exploration among K-12 students and the public through outreach and diversity initiatives.The overarching goal of this project is to create a novel system representation framework by connecting complex engineering systems with recent breakthroughs in understanding complex physical systems. We will model the engineering design process as the Renormalization Group (RG) transformation, a ubiquitous technique in modern statistic physics that models the behaviors of a system depending on the scale of which it is observed. The research approach is to (R1) understand the technology recursion process in the time dimension; and (R2) create a renormalization scheme in the hierarchy dimension to support dynamic system representation based on the macroscopic design features we are interested in. This research will lead to a new bottom-up approach to resolve epistemic uncertainties during complex engineering system design driven by the lack of knowledge of the correct way to model the system, future design decisions, and technology development outcomes. The research will have broad societal impact by incorporating the rigorous mathematical structure of technology recursion and system dynamics into complex system design to benefit a wide range of industries suffering from high development costs and project schedule overruns (e.g., public infrastructure, healthcare, defense, and aerospace). The integrated education plan involves engineering-focused outreach initiatives, such as pre-college workshops for K-12 students and under-represented minorities to develop broader interest in engineering design and space exploration.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该工程研究启动（ERI）项目旨在补充基本缺失知识，以代表和管理大型和极端规模的工程设计问题。受复杂物理系统与复杂工程系统之间的惊人相似性的启发，我们将原始技术视为基本的构建块，形成组件，子系统，系统，最终是系统的系统系统，该系统类似于层次的物理世界，粒子形成原子的粒子形成了分子，细胞，细胞，生物体，生物体，生物体，星球，星球，星球，星球，星球和星系和星系，并形成。这项研究将建立一个严格的数学基础，以实现：（a）在给定的技术项目期间和之后对技术出现的统计模式进行系统的研究； （b）动态系统表示和重新评估以用现有技术池解释潜在的系统行为。这项研究对设计过程中系统演变的基本动态建立了新的理解，并提供了自下而上的观点，可以处理不可靠的系统模型表示和复杂工程系统的意外设计成果。我们将使用Apollo和Artemis程序作为极端规模的两个应用程序测试框架，以调查每个项目期间和之后的技术进化和溢出效应。这项研究将产生新的知识，以增强我们对技术和系统级别上的成本基本原因的理解。这些见解可以为各个行业的未来太空任务和复杂工程计划提供决策过程。该项目还将努力通过宣传和多样性计划在K-12学生和公众之间对工程设计和太空探索的广泛兴趣。该项目的总体目标是通过将复杂的工程系统与最新的突破性联系起来，在理解复杂的物理系统方面建立一个新颖的系统表示框架。我们将将工程设计过程建模为重新归一化组（RG）变换，这是一种无处不在的技术，它是现代统计物理学中的一种无处不在的技术，它根据观察到的规模来对系统的行为进行建模。研究方法是（R1）在时间维度中了解技术递归过程。 （R2）在层次结构维度中创建一个重新归一化的方案，以基于我们感兴趣的宏观设计功能来支持动态系统表示。这项研究将导致一种新的自下而上方法，以解决复杂的工程系统设计期间的认知不确定性，这是由于缺乏对系统，未来设计决策和技术开发的正确方式而驱动的复杂工程系统。这项研究将通过将技术递归和系统动力学的严格数学结构纳入复杂的系统设计中，从而使遭受高发展成本和项目计划过度的广泛行业（例如，公共基础设施，医疗保健，国防和航空航天）的多种行业，从而产生广泛的社会影响。综合教育计划涉及以工程为重点的宣传计划，例如针对K-12学生的大学前讲习班和代表性不足的少数群体，以对工程设计和太空探索产生更广泛的兴趣。该奖项反映了NSF的法定任务，并通过使用该基金会的知识优点和广泛影响来评估NSF的法定任务，并被认为是值得的支持。