基于岭估计和L曲线的损伤识别技术研究

郭惠勇 罗乐 盛懋 李正良

振动与冲击 ›› 2015, Vol. 34 ›› Issue (4) : 200-204.

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PDF(1433 KB)
振动与冲击 ›› 2015, Vol. 34 ›› Issue (4) : 200-204.
论文

基于岭估计和L曲线的损伤识别技术研究

  • 郭惠勇1 罗乐2 盛懋1 李正良1

作者信息 +

Structural damage identification method based on ridge estimation and L-curve

  • Guo Huiyong1, 2 LUO Le2, Sheng Mao1, Li Zhengliang1
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摘要

为了解决结构损伤方程求解的可靠性问题,提出了基于岭估计和L曲线的损伤方程求解方法。首先描述了基于模态应变能灵敏度的结构损伤方程,然后考虑测量噪声等因素易造成病态的损伤方程问题,提出了采用岭估计求解结构的损伤方程,并利用L曲线确定最优的岭参数,最后建立了损伤估计值的修正方法。数值仿真结果表明,基于修正的岭估计和L曲线方法可以较为精确地识别出损伤的位置和程度,而且其定量识别结果明显好于基本的岭估计和L曲线方法以及一般的截断奇异值分解法。

Abstract

In order to solve the reliability problem of structural damage equation, a damage detection method based on ridge estimation and L-curve is presented. First, a structural damage equation based on modal strain energy sensitivity is given out. Then, considering that measurement noise will cause the ill-posed equation problem, ridge estimation is utilized to solve the damage equation and L-curve is utilized to identify optimal ridge parameter. Finally, an improved ridge estimation method is proposed to enhance the identification precision. Simulation results demonstrate that the proposed ridge estimation and L-curve method can detect structural damage locations and extent with good accuracy, the quantification results of the proposed method are obviously better than those of the basic ridge estimation and L-curve method and the truncated singular value decomposition method.


关键词

损伤识别 / 损伤方程 / 岭估计 / L曲线 / 位移模态

Key words

damage identification / damage equation / ridge estimation / L-curve / mode shape

引用本文

导出引用
郭惠勇 罗乐 盛懋 李正良. 基于岭估计和L曲线的损伤识别技术研究[J]. 振动与冲击, 2015, 34(4): 200-204
Guo Huiyong; LUO Le;Sheng Mao;Li Zhengliang. Structural damage identification method based on ridge estimation and L-curve[J]. Journal of Vibration and Shock, 2015, 34(4): 200-204

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