桥梁结构工作模态分析的不确定度量化

秦世强1,勾红叶2,贾宏宇3,蒲黔辉2

振动与冲击 ›› 2015, Vol. 34 ›› Issue (8) : 193-197.

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PDF(1374 KB)
振动与冲击 ›› 2015, Vol. 34 ›› Issue (8) : 193-197.
论文

桥梁结构工作模态分析的不确定度量化

  • 秦世强1,勾红叶2,贾宏宇3,蒲黔辉2
作者信息 +

Uncertainty quantification in operational modal analysis of bridge structure

  • QIN Shi-qiang1, GOU Hong-ye2, JIA Hong-yu3, PU Qian-hui2
Author information +
文章历史 +

摘要

为了量化工作模态分析的不确定度,以随机子空间识别为例,用两种方法对识别的固有频率和阻尼比不确定度进行量化:第一,用不同测试组识别的模态参数的数学期望和标准差衡量其整体大小和离散程度,构建模态参数的整体置信区间;第二,引入了以矩阵敏感性分析的单个测试组识别的模态参数不确定度量化方法,并构造带置信区间的稳定图。以菜园坝桥拱肋试验数据作为工程实例进行了验证。研究表明:构建的整体置信区间弥补了目前对模态参数的单一评价模式;带置信区间的稳定图能让测试者分辨出结构真实模态和虚假模态;两种方法能分别从整体和局部反映识别的模态参数不确定度;为评价用工作模态分析方法来识别的模态参数的可信程度提供了依据。

Abstract

In order to quantify the uncertainty for operational modal analysis (OMA), two methods were employed to estimate the uncertainty of natural frequencies and damping ratios by using Stochastic Subspace Identification (SSI) as an example. Firstly, mathematical expectation and standard deviation of modal parameters identified from different setups were used to measure its overall size and dispersion, and the overall confidence intervals of modal parameters were constructed. Secondly, a method to quantify the uncertainty of modal parameters obtained from a single setup through matrix sensitive analysis was introduced, and the stabilization diagram with confidence intervals is established. The ambient vibration test of the arch rib of Caiyuanba Yangtze River Bridge was taken as an example. The study shows that the overall confidence intervals is a supplement to the existing single mode to assessing modal parameters. The stabilization diagram with confidence intervals can help testers to distinguish the spurious modes from system modes. Two methods introduced can measure the uncertainty of the modal parameters from overall and local viewpoint, respectively, which provide a basis to assess the credibility of the estimated modal parameters from OMA.

关键词

桥梁 / 随机子空间识别 / 模态参数 / 不确定度 / 置信区间

Key words

Bridge / Stochastic Subspace Identification (SSI) / modal parameter / uncertainty / confidence intervals

引用本文

导出引用
秦世强1,勾红叶2,贾宏宇3,蒲黔辉2. 桥梁结构工作模态分析的不确定度量化[J]. 振动与冲击, 2015, 34(8): 193-197
QIN Shi-qiang1, GOU Hong-ye2, JIA Hong-yu3, PU Qian-hui2. Uncertainty quantification in operational modal analysis of bridge structure[J]. Journal of Vibration and Shock, 2015, 34(8): 193-197

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