Wavelets Based Response of Structural / Mechanical Systems to Evolutionary Earthquake & Wind

基于小波的结构/机械系统对演化地震的响应

• 批准号: 0301201
• 负责人: Pol Spanos
• 金额: --
• 依托单位: William Marsh Rice University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-05-01 至 2008-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0301201&HistoricalAwards=false
• 关键词: Wavelets; Based; Response; Structural; Mechanical

Wavelets Based Response of Structural / Mechanical Systems toEvolutionary Earthquake & Wind, CMS proposal 0301201PI: Spanos, Rice UniversityThe proposed program will use the wavelet transform in deriving the stochastic characteristics of the response of structural systems to non-stationary models related to seismic and wind excitations. The wavelet transform has been employed in a variety of applications. Its combined time-scale representation aswell as its localization properties have been used in the analysis of various systems. The present program focuses on the application of the wavelet transform to nonlinear structural system response due to non-stationary models of natural hazards, and its implementation to real systems. The time-scale localization properties of the wavelets will be utilized to capture the variation of the spectral characteristics of the non-stationary seismic and wind models across time, and to assess the time dependent dynamic behavior of structural systems. A time-dependent wavelet transfer tensor will be derived and a theoretical framework will be introduced to derive wavelet input/output relationships for linear multi-degree of freedom systems under non-stationary excitations. This will be pursued by using wavelet families with characteristicsappropriate for the specific objective. New approaches will be introduced for structural system modeling in the time-scale domain by employing the wavelet transform. The findings will be applied to parameter identification, diagnostic procedures and reliability studies. Structural systems under seismic and wind loads will be examined. The work will be extended to diagnosis and monitoring procedures of such systems. The research program will be pursued in conjunction with a concerted effort of maximizing the broader impact of the proposed work by continuing to provide mentorship to students from underrepresented groups, to engage undergraduate students in research, and to interact with teachers of K-12 grades.

基于小波的结构/机械系统对演化地震和风的响应，CMS提案030120pi: Spanos， Rice university .该计划将使用小波变换来推导结构系统对与地震和风激励相关的非平稳模型响应的随机特征。小波变换已被用于各种各样的应用中。它的组合时标表示及其局部化特性已被用于各种系统的分析。本项目重点研究了小波变换在自然灾害非平稳模型下非线性结构系统响应中的应用，以及在实际系统中的实现。小波的时间尺度局域化特性将用于捕获非平稳地震和风模型的频谱特征随时间的变化，并评估结构系统的时间依赖动力行为。本文将导出一个时变小波传递张量，并引入一个理论框架来推导非平稳激励下线性多自由度系统的小波输入/输出关系。这将通过使用具有适合特定目标的特征的小波族来实现。本文将介绍利用小波变换在时间尺度域进行结构系统建模的新方法。研究结果将应用于参数识别、诊断程序和可靠性研究。结构系统在地震和风荷载下将进行检查。这项工作将扩大到这些系统的诊断和监测程序。该研究项目将与一项协调一致的努力相结合，通过继续为代表性不足的群体的学生提供指导，让本科生参与研究，并与K-12年级的教师互动，最大限度地发挥拟议工作的广泛影响。