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

职业：通过频窗凝聚加速复杂结构分析

• 批准号: 9984994
• 负责人: James McDaniel
• 金额: $ 15万
• 依托单位: Trustees of Boston University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-07-01 至 2005-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9984994&HistoricalAwards=false
• 关键词: CAREER; Accelerated; Analyses; Complex; Structures

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.

提案标题：“职业：通过频率窗口凝聚的复杂结构的加速分析”建议编号：9984994摘要这个职业生涯项目包括综合研究和教育活动，其重点是一种新的方法来分析复杂的振动结构的振动。 目前，努力模拟复杂结构的振动受到严重限制的计算费用在寻找模态特性或强迫响应的结构。 这项研究可以大大减少这些费用，从而使更完整和准确的振动研究，通过开发一种新的手段凝聚的动力学方程的运动。 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处评估的结构的强迫响应。 初步估计表明，对于工业界目前感兴趣的结构，计算时间的减少将是几个数量级。 两个工业合作者将提供复杂结构的有限元模型，用于开发和演示所提出的方法。 教育活动包括开发，使用和评估独特的基于计算机的教育资源，使学生能够交互式地探索真实世界结构的振动。 当与一个课程模块，向学生介绍了许多自由度系统的振动相结合时，预计该资源将补充集中参数模型的研究，这些模型目前是本科振动课程的重点。 通过采用研究方法来加快响应计算，该软件包将允许学生交互式地探索行业提供的真实的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。