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 引用本文: 李雪艳, 张惠民. 基于应变脉冲响应协方差的损伤识别方法研究[J]. 力学学报, 2017, 49(5): 1081-1090.
Li Xueyan, Zhang Huimin. STUDY OF DAMAGE IDENFICATION METHOD BASED ON THE COVARIANCE OF STRAIN IMPULSE RESPONSE FUNCTION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(5): 1081-1090.
 Citation: Li Xueyan, Zhang Huimin. STUDY OF DAMAGE IDENFICATION METHOD BASED ON THE COVARIANCE OF STRAIN IMPULSE RESPONSE FUNCTION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(5): 1081-1090.

## STUDY OF DAMAGE IDENFICATION METHOD BASED ON THE COVARIANCE OF STRAIN IMPULSE RESPONSE FUNCTION

• 摘要: 基于振动参数的结构损伤识别，是近年来土木工程的热点研究课题，振动参数包括频率、振型、频响函数、模态应变能、应变响应和加速度响应等，当结构损伤时，损伤位置附近将产生应力重分布，从而引起应变的变化，因此对比损伤前后的应变或者应变响应参数，可以用来识别结构损伤.提出了一种应变脉冲响应协方差参数，它是应变脉冲响应在时间区间上的能量积分；推导并证明了该参数是结构模态参数（频率，位移模态，应变模态，阻尼等）的函数，可用来表征结构状态.相比于传统的模态参数识别方法，可以保留更高阶的模态参数，而且避免了模态识别可能引起的误差；基于简支钢梁的多种损伤工况，研究和展示了该参数的特性，通过数值模拟发现，该参数能简单直观地判定损伤发生和识别损伤位置，无需建立结构分析模型，只需比较结构损伤前后的应变脉冲响应协方差参数即可；该参数简便易算，具有较好的抗噪性能，对结构损伤敏感，而且对结构刚度减少呈现一致变化特性，所以适合实际工程结构的健康监测和损伤识别.

Abstract: Structural damage identification based on vibration characteristics is the research topic in civil engineering in recent years. When the structure is damaged, the stress of the surrounding damage part of the structure will be redistributed obviously and the strain will have distinct change. So the damage detection can be performed by the comparison of the strain or the parameter from the strain responses between the damaged and intact states of the structure. In this paper the covariance of strain impulse response function (CoS) is proposed and it is proved that CoS is the function of structural modal parameters. It is the energy integral of the strain impulse response on the time interval. Compared to the traditional modal parameters, more high modes of modal parameters are preserved in the CoS and the errors produced in the modal parameter identification procedure are avoided. So the CoS can be used for structural damage identification. A simplysupported steel beam is studied to demonstrate the performance of CoS in the damage identification. From the results of numerical studies, it can be found that CoS can identify damage occurrence and location successfully. Moreover, any analytical structural model is not necessary for the damage identification procedure based on CoS. Only the computation or measurement of the strain response, strain impulse response function and CoS from the intact and the damaged states of the structure is required. It means that CoS is very suitable for health monitoring of real engineering structures.

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