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Structural Health Monitoring and Damage Assessment Using Measured FRFs from Multiple Sensors, Part I: The Indicator of Correlation Criteria

机译:使用来自多个传感器的实测FRF进行结构健康监测和损伤评估,第一部分:相关标准的指标

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摘要

This paper presents two criteria for correlating measured frequency responses from multiple sensors and proposes to use them as indicators for structural damage detection. The first criterion is a global shape correlation (GSC) function that is sensitive to mode shape differences but not to relative scales. The second criterion, a global amplitude correlation (GAC) function, is based on actual response amplitudes. Both correlation criteria are a function of frequency and uniquely map a set of complex responses to a real scalar between zero and unity. The averaged integrations of GSC and GAC functions along the frequency points over the measurement range, also called damage indicators, are used to describe the correlation between two sets of vibration data. When a structure state remains unchanged, both correlation criteria are as close to unity s imultaneously. Otherwise, the correlation with the reference data will be decreased with changes of structure states. Using GSC and GAC functions has the advantage of being able to deal with incomplete measurements. Also, all available response data are used and hence there is no critical selection of frequency points for damage detection. The above correlation criteria were applied to a bookshelf structure and various cases such as undamaged states, damage locations (single and multiple), damage levels, as well as environmental variability are discussed. As expected, it was found that indicators of correlation criteria were able to identify all various cases correctly.
机译:本文提出了两个标准,用于关联来自多个传感器的测得的频率响应,并建议将它们用作结构损伤检测的指标。第一个标准是全局形状相关(GSC)函数,该函数对模式形状差异敏感,但对相对比例不敏感。第二个标准是全局幅度相关(GAC)函数,它基于实际响应幅度。这两个相关标准都是频率的函数,并且将一组复杂的响应唯一地映射到零到1之间的实际标量。 GSC和GAC函数在测量范围内沿频率点的平均积分(也称为损伤指标)用于描述两组振动数据之间的相关性。当结构状态保持不变时,两个相关标准同时也接近于1。否则,与参考数据的相关性将随着结构状态的变化而降低。使用GSC和GAC功能的优势在于能够处理不完整的测量。同样,所有可用的响应数据都被使用,因此对于损坏检测没有关键的频率点选择。将上述相关标准应用于书架结构,并讨论了各种情况,例如未损坏状态,损坏位置(单个和多个),损坏程度以及环境可变性。如预期的那样,发现相关标准的指标能够正确识别所有各种情况。

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