利用固有频率异常值分析法检测螺栓拧紧力

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (23) : 77-82.

论文

利用固有频率异常值分析法检测螺栓拧紧力

缑百勇1,2 陆秋海1 王波1 王世英1

作者信息 +

Bolt tightening force detection using outlier analysis of structural natural frequencies

GOU Bai-yong1,2, LU Qiu-hai1, WANG Bo1 WANG Shi-ying1

Author information +

文章历史 +

摘要

为了定量评估螺栓松动损伤程度，依据统计学中的马氏平方距离（Squared Mahalanobis Distance，MD）异常值分析法，研究了综合利用结构前5阶固有频率（称为固有频率矢量）检测螺栓拧紧力的方法。首先测试了不同拧紧力下结构的固有频率；然后计算了各拧紧力工况与紧固工况固有频率矢量间的标准欧几里德距离（Standard Euclidean Distance，SED），利用Matlab拟合了SED与拧紧力之间的关系曲线，据此提出了定量检测螺栓拧紧力的方法；最后对该方法进行了试验验证和应用举例。结果表明，固有频率矢量的SED与拧紧力呈指数关系，而且利用此关系曲线能够比较可靠地评估螺栓松动程度。

Abstract

In order to evaluate the severity of bolt looseness quantitatively, a study was made about detecting bolt tightening force using structural first 5 natural frequencies and the Squared Mahalanobis Distance (MD) outlier analysis. First, test the structural natural frequencies under different tightening force condition, and then, compute the Standard Euclidean Distance (SED) between fully-tightening condition and several not-fully-tightening conditions. The fitting curve between SEDs and tightening forces was made using Matlab, and a method was proposed about detecting tightening force. Experimental verification and application example were given at last. Study shows that there is an exponential relationship between SEDs and tightening forces, the relationship can be use to evaluate the severity of bolt looseness reliably.

导出引用

缑百勇1,2 陆秋海1 王波1 王世英1. 利用固有频率异常值分析法检测螺栓拧紧力[J]. 振动与冲击, 2015, 34(23): 77-82

GOU Bai-yong1,2, LU Qiu-hai1, WANG Bo1 WANG Shi-ying1. Bolt tightening force detection using outlier analysis of structural natural frequencies[J]. Journal of Vibration and Shock, 2015, 34(23): 77-82

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