CAREER: Accelerated Analyses of Complex Structures by Frequency-Windowed Condensations

提案标题：“CARADE：利用频率窗凝聚加速复杂结构的分析”提案编号：9984994摘要该项目涉及综合研究和教育活动，其重点是一种分析复杂振动结构振动的新方法。目前，对复杂结构的振动进行建模的努力受到计算费用的严重限制，无论是计算结构的模态特性还是结构的强迫响应。这项研究可以极大地减少这些费用，从而使更完整和准确的振动研究，通过开发一种新的方法来浓缩动态运动方程。这种凝聚将通过一种创新的变换来实现，该变换使用在频带中的几个采样频率评估的结构的强迫响应。初步估计表明，对于目前工业界感兴趣的结构，计算时间将减少几个数量级。两个行业合作伙伴将提供复杂结构的有限元模型，用于开发和演示所建议的方法。教育活动包括开发、使用和评估一种独特的基于计算机的教育资源，使学生能够互动地探索真实世界结构的振动。当与向学生介绍许多自由度系统的振动的课程模块结合时，该资源有望补充目前本科振动课程的重点集中参数模型的研究。通过使用研究方法来加快响应计算，该程序包将允许学生互动地探索行业提供的真实结构模型的振动现象。预计这套方案将为工业界参与工程教育开辟一条新的途径。

Proposal Title: "CAREER: Accelerated Analyses of Complex Structures by Frequency-Windowed Condensations" Proposal Number: 9984994AbstractThis CAREER project involves integrated research and educational activities whose focus is a new approach to analyzing the vibrations of complex vibrating structures. Currently, efforts to model the vibrations of complex structures are severely limited by the computational expenses incurred in finding either the modal properties or the forced responses of the structures. The research could dramatically reduce these expenses, and hence enable more complete and accurate vibration studies, by developing a novel means of condensing the dynamic equations of motion. This condensation will be achieved by an innovative transformation that uses the forced responses of the structure evaluated at a few sampled frequencies in the band. Preliminary estimates indicate that, for structures of current interest to industry, the reductions in computational times will be several orders of magnitude. Two industrial collaborators will provide finite element models of complex structures for use in developing and demonstrating the proposed approach. Educational activities include the development, use, and assessment of a unique computer-based educational resource that allows students to interactively explore the vibrations of real-world structures. When combined with a course module that introduces students to the vibrations of many degree-of-freedom systems, the resource is expected to complement studies of lumped-parameter models that are currently the focus of undergraduate vibration curriculums. By employing the research method to expedite response calculations, the package will allow students to interactively explore vibration phenomena for industry-supplied models of real structures. It is expected that this package will create a new avenue for the involvement of industry in engineering education.