基于递归分析的桥梁环境振动信号非平稳评价

项目名称： 基于递归分析的桥梁环境振动信号非平稳评价

项目编号： No.51308175

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 建筑科学

项目作者： 杨栋

作者单位： 合肥工业大学

项目金额： 25万元

中文摘要： 由桥梁环境振动响应信号处理一般基于信号平稳性的假定。由于运营中激励的复杂性和结构自身的时变或非线性特征，桥梁监测环境振动响应信号本质上是非平稳随机信号。因此，环境振动响应信号的正确处理，首先要评价信号是不是平稳的以及非平稳的程度如何，才能确定用什么方法去处理。项目结合桥梁结构及其工作环境的特点，以非平稳响应信号分析为出发点，采用递归分析方法，以刻画响应信号的递归图（RP）为突破口，从理论、数值模拟和试验三个方面，对信号是否非平稳及其非平稳程度进行深入研究。重点解决刻画信号递归图过程中递归矩阵的建立原则、递归图相关参数选取及大型递归矩阵运算等关键技术问题；提出用递归图特征判断信号是否非平稳的方法，并从信号递归定量分析（RQA）中提取出一个新的反映信号非平稳程度的特征指标，以评价信号的非平稳程度。项目成果可广泛应用于桥梁健康监测和安全评估研究，具有重要的理论意义和工程实用价值。

中文关键词： 递归图；递归量化分析；非平稳；振动信号；健康监测

英文摘要： Acquisition signals from bridges are essentially nonstationary random signals, because of complexity of excitation in operation and the structure's time-varying and non-linear characteristics. Currently, signals were assumed to be stationary before processing. So analysis results have uncertainty: the results in the different period are affected by level of non-stationarity and noise. And some signal processing methods are based on the known non-stationarity characteristic. Therefore, the non-stationarity assessment for signals are necessary. Based on the characteristics of bridge structures and their operational environment, this project selects the non-stationary signal analysis as a starting point, uses recurrence analysis theory, and establish recurrence plot of signals as a pawn, in order to make a in - depth research of the non-stationarity and non-stationary degree of the signals from theory, numerical simulation and experiment. It fouces on construction principle of recurrence matrix, parameters selection and huge recurrence matrix calculation. Than, it proposes a method to judge the signals are stationary or not and assess the non-stationarity degree by a exacted non-stationary feature. This method can be extensively applied to bridge health mornitoring and safety assessment, it is significant to the

英文关键词： recurrence plots；recurrence quantification analysis；non-stationarity；dynamic signals；health mornitor