比例损伤结构的两阶段损伤识别研究

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (13) : 146-151.

论文

比例损伤结构的两阶段损伤识别研究

赵建华1 ，张陵1 ，孙清2

作者信息 +

A two-stage method for structural damage identification using the proportional damage model

ZHAO Jian-hua 1 ZHANG Ling 1 SUN Qing 2

Author information +

文章历史 +

摘要

为了提高结构的多损伤识别效率，提出了一种先利用归一化条件下的模态应变能变化进行结构损伤定位，然后再利用改进的频率变化法进行损伤定量的两阶段损伤识别方法。该方法首先对损伤前后的单元模态应变能进行归一化处理，提出基于归一化条件下的模态应变能变化率的损伤定位指标并对结构进行准确的损伤定位识别；其次，在确定损伤位置的基础上，建立了只跟损伤单元数目相关的基于比例损伤模型的损伤定量方程，并用最小二乘技术进行损伤程度的求解。为了验证所提方法的有效性，以一个单跨6节平面桁架结构为例进行数值模拟。仿真结果表明，所提方法不但可以准确地识别出结构的损伤位置和程度，而且对测量噪声具有较强的鲁棒性。

Abstract

In order to improve the efficiency of structural multi-damage identification, a two-stage method is presented for the identification and quantification of damage in this paper. In the first stage, a normalized modal strain energy based damage index is used to precisely determine the damage locations. The modal strain energy is calculated using the measured modal data and element stiffness matrix extracted from the finite element model. In the second stage, a matrix condensation approach in conjunction with a proportional damage model is then employed to derive the equation of quantifying the damage extent on the basis of damage location. Subsequently, the least-squares technique is used to solve for the unknowns of damage extent. To demonstrate the effectiveness of the proposed approach, numerical study has been carried out on a six-bay planar truss structure. The simulation results indicate that the proposed method is capable of identifying the location and extent of damage accurately with a certain noise level.

导出引用

赵建华1,张陵1,孙清2. 比例损伤结构的两阶段损伤识别研究[J]. 振动与冲击, 2015, 34(13): 146-151

ZHAO Jian-hua 1 ZHANG Ling 1 SUN Qing 2. A two-stage method for structural damage identification using the proportional damage model[J]. Journal of Vibration and Shock, 2015, 34(13): 146-151

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