Statistical Elastodynamics of Large Structures

PI姓名：Richard L. Weaver机构：伊利诺伊大学厄巴纳-香槟分校提案编号：0201346提案标题：大型结构的统计弹性动力学项目摘要本项目研究复杂不规则混响结构中振动和声能量的统计、平均流及其波动。 这项工作的设想是为了改进这种结构中中频范围的统计能量理论，涉及数值模拟、分析理论和实验室测量。 一种有效的估计平均能量流的方法将扩展到时间依赖的情况下，并通过与直接数值模拟和传统的统计能量分析的结果进行比较进行测试。 将对工业应用中的模型和结构进行比较。 将使用随机矩阵理论研究偏离平均值的波动方差，并与实验室测量和数值模拟进行比较。技术影响将是为大型结构的振动和声学建立更好的统计能量模型，并对消费机械、空间和海军结构的噪声和振动设计产生影响。 其他应用将在于混响室声学，超声波，随机地震波，介观电子学和激光雷达和医学成像的漫射光学。 通过与地震学家和物理学家的合作，通过档案出版物，通过博士生的培训，通过PI参与技术会议，以及通过他在高级课程中引入新材料，以及统计能量分析的新软件，确保了更广泛的影响。

PI Name: Richard L. WeaverInstitution: University of Illinois at Urbana-ChampaignProposal Number: 0201346Proposal Title: Statistical Elastodynamics of Large StructuresProject Abstract This project investigates the statistics of vibrational and acoustic energy, its mean flow and its fluctuations, in complex irregular reverberant structures. The work is conceived with a view towards improved statistical energy theories for the mid-frequency range in such structures, and involves numerical simulations, analytic theory and laboratory measurements.The project consists of two complementary thrusts. A method for efficient estimation of flow of mean energy will be extended to the time dependent case, and tested by comparing with results from direct numerical simulation and conventional Statistical Energy Analysis. Comparisons will be carried out on models and structures from industrial applications. The l variance of fluctuations away from that mean will be investigated using Random Matrix Theory and compared with laboratory measurements and numerical simulations.Technical impact will be in the creation of better statistical energy models for the vibrations and acoustics of large structures, with implications for noise and vibration design for consumer machinery, and space and naval structures. Other applications will lie in reverberation room acoustics, ultrasonics, stochastic seismic waves, mesoscopic electronics, and diffuse optics for lidar and medical imaging. Broader impact is ensured by the industrial collaborations that are envisioned, by collaborations with seismologists and physicists, by archival publications, by the training of PhD students, by the PI's participation in technical meetings, and by his introduction of new material in advanced courses, with new software on statistical energy analysis.