Duffing振子与响应灵敏度结合的结构损伤检测方法

阐述了Holmes型Duffing方程的混沌特性用于强噪声背景下弱信号检测的机理。针对强噪声背景下的结构损伤定位问题，提出了基于Duffing振子和响应灵敏度结合的结构损伤定位方法，仅通过一组特定的参数来实现对于噪声背景下响应信号的提取，避开了传统的Duffing振子参数选择的繁琐性，适用于更高的噪声水平，同等噪声水平下较传统的时域响应灵敏度方法计算量更小。将该方法用于强噪声背景下三维桥梁结构模型的损伤检测，结果表明，该方法在强噪声背景环境下能较好地实现损伤定位，为强噪声背景环境下的实际工程结构损伤识别提供了良好的思路。

Damage Detection Method of Multi-DOF Structure Based on Duffing Oscillator and Response Sensitivity

Chaos characteristics of the Holmes Duffing equation are described, and the mechanism of its application on detecting a weak signal from strong background noise is elaborated. As for the problem of identifying structural damage in a strong noise environment, a damage location method based on the Holmes Duffing equation and the response sensitivity method is proposed. A set of specific parameters is selected for the extraction of a response signal, thus avoiding the cumbersome process of the traditional Duffing oscillator parameters selection. A higher noise level is also considered, and the noise calculation result is less under the same noise level. This method is applied to the three-dimensional structure model, and the results show that this method can effectively detect the location of structural damage under strong background noise, which can provide a better methodology for structural damage identification.