Optimization-Based Decomposition and Integration of Systems in Engineering Design

通过在克莱姆森大学机械工程系呆上11个月，这位克莱姆森大学数学科学教授提议获得工程设计和制造领域的知识，并随后在克莱姆森大学数学科学系和机械工程系之间开发一个强大的跨学科研究和教育计划。设计科学假设了产品开发过程的决策范式，这是通过应用数学优化作为建模和解决基本决策问题的工具，以及将系统分解为子系统并将最优子系统设计整合到最终总体设计中而得到证实的。PI将参与工程设计中基于优化的系统分解和集成领域的三个跨学科项目：1)开发一种分解和集成方法，用于在存在多个性能指标和多种运行场景的情况下优化车辆的动态性能。该方法将允许设计出在不同驾驶条件下表现令人满意的车辆，并将适用于其他设计问题，如产品族设计或平台设计；2)通过优化部件配置，开发车辆部件物理集成的包装方法，使车辆的动态和静态性能在设计约束范围内达到最佳。该方法将允许设计性能更好、更易于生存的更紧凑的飞行器，并将适用于其他需要包装的产品的设计，如卫星、航空电子系统和微型监视系统；3)将新颖的、基于性能的分解和集成应用于在不确定条件下运行的复杂系统的工程设计。这一方法论将为设计科学引入一种新的范式。PI的教育活动将包括设计和教授一门关于工程设计中分解和整合的跨学科研究生课程；教授一门关于设计的高级顶级课程；以及为研究生和本科生提供建议。服务活动将侧重于开发机械工程和数学科学的跨学科研究生课程，组织一系列研究研讨会，并在地区高中进行实践演示。通过这个IGMS项目获得的专业知识将使PI做好准备，通过克莱姆森新的国际汽车研究研究生中心为研究和教育活动做出贡献，该中心将专注于系统集成，以应对与日益计算机化和复杂的车辆零部件相关的挑战。拟议的工作将提供机会，培训既具有数学技能又了解科学和工程原理的学生进入劳动力市场。将采取特别努力，帮助来自代表性不足人群的学生和大学预科水平的学生。

By spending 11 months in Clemson University's Department of Mechanical Engineering, the PI, a professor of mathematical sciences at Clemson University, proposes to gain knowledge in the area of engineering design and manufacturing, and subsequently develop a strong interdisciplinary research and education program between Clemson's departments of mathematical sciences and mechanical engineering. The science of design assumes a decision-making paradigm for the product development process, which is substantiated by the application of mathematical optimization as a tool for modeling and solving the underlying decision problems, as well as for decomposition of systems into subsystems and integration of optimal subsystem designs into the final overall design. The PI will participate in three interdisciplinary projects in the area of optimization-based decomposition and integration of systems in engineering design : 1) Developing a decomposition and integration approach to optimization of the dynamic performance of vehicles in the presence of multiple performance indices and in multiple operating scenarios. The methodology, which will allow the design of vehicles that perform satisfactorily in different driving conditions, will be applicable to other design problems, such as product family design or platform design; 2) Developing a packaging methodology for the physical integration of vehicle components through optimization of component configurations so that the vehicle dynamic and static performances are optimal within design constraints. The methodology, which will allow the design of more compact vehicles that perform better and are more prone to survival, will be applicable to design of other products requiring packaging, such as satellites, avionic systems, and miniature surveillance systems; 3) Applying novel, performance-based decomposition and integration to engineering design of complex systems that perform under uncertainty. The methodology will introduce a new paradigm to the science of design. PI's educational activities will include designing and teaching an interdisciplinary, graduate-level course on decomposition and integration in engineering design; teaching a senior-level capstone course on design; and advising graduate and undergraduate students. Service activities will focus on developing an interdisciplinary, graduate-level curriculum in mechanical engineering and mathematical sciences, organizing a research seminar series, and conducting hands-on presentations in area high schools. The expertise gained through this IGMS project will prepare the PI to contribute to research and education activities through Clemson's new International Graduate Center for Automotive Research, which will focus on systems integration to address challenges associated with vehicle components that are becoming increasingly computerized and complex. The proposed work will provide opportunities to train students who can enter the workforce with both mathematical skills and an understanding of science and engineering principles. Special efforts will be undertaken to reach students from underrepresented populations and pre-college level students.