一种基于奇异谱熵和脉冲响应的结构损伤诊断方法

Damage diagnosis of structures based on singular spectrum entropy and impulse response

根据结构振动响应的行为会随结构状况的变化而改变的原理,提出了用奇异谱熵作为指标来评价结构状况的方法。采用脉冲响应序列重构相空间,在相空间中通过奇异值分解得到奇异谱熵,由熵的变化来判断结构损伤的发生。该方法直接利用结构响应,无需建立结构模型,减少了建模误差。为了抑制噪声对诊断结果的影响,引入循环移位树降噪技术进行降噪处理,分析了相空间维数、激励点和测点对奇异谱熵的影响。以A SCE学会提出的基准结构为对象,应用该方法对受脉冲激励的结构进行了损伤分析,结果表明该方法是有效的。

Based on the principle that the performance of structural vibration will vary with the alteration of structure state, a method for structural damage detection using singular spectrum entropy is developed in this paper. The main feature of the method is that it only requires output response measurements at one location and is no need to establish mathematical model of structures. The singular spectrum entropy is acquired by singular value decomposition in phase state that is reconstructed by impulse response series. The influence of noise on diagnosis is minimized by the application of the cyclic shift tree denoising technique. The effects of phase space dimension, excitation points and measurement points on the singular spectrum entropy are discussed. To validate the applicability of the proposed method, a numerical study on the ASCE benchmark model is performed.