Optimization-Based Decomposition and Integration of Systems in Engineering Design

通过花费11个月在克莱姆森大学的机械工程系，PI，数学科学教授在克莱姆森大学，建议获得在工程设计和制造领域的知识，并随后开发一个强大的跨学科的研究和教育计划之间的克莱姆森的数学科学和机械工程部门。设计科学假设了产品开发过程的决策范式，这是通过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和将最佳子系统设计集成到最终总体设计中来实现的。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）开发分解和集成方法，以优化存在多个性能指标和多个操作场景的车辆动态性能。该方法将允许设计在不同驾驶条件下令人满意的车辆，将适用于其他设计问题，如产品族设计或平台设计; 2）开发一种包装方法，通过优化组件配置，使车辆的动态和静态性能在设计约束条件下是最佳的车辆组件的物理集成。该方法，这将使设计更紧凑的车辆，性能更好，更容易生存，将适用于其他产品的设计需要包装，如卫星，航空电子系统，和微型监视系统; 3）应用新的，基于性能的分解和集成的工程设计的复杂系统，在不确定性。该方法将为设计科学引入一个新的范式。PI的教育活动将包括设计和教学一个跨学科的，研究生水平的分解和集成工程设计课程;教学设计的高级顶点课程;并建议研究生和本科生。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，并在地区高中进行动手演示。通过该IGMS项目获得的专业知识将使PI通过克莱姆森新的国际汽车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部件相关的挑战。拟议的工作将提供机会，培养学生谁可以进入劳动力与数学技能和科学和工程原理的理解。将作出特别努力，帮助代表性不足的人口中的学生和大学预科学生。

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.