环境激励下基于小波能量互熵的结构损伤诊断方法

环境激励下的结构响应是一个随机过程，结构发生破损时其响应将随之变化，可将描述随机过程特性的参数作为评判结构状况的指标。熵是测量随机过程不确定性的一个比较方便的方法，能够用于高斯及非高斯分布的情况。在小波分解的基础上建立了小波能量互熵的概念，提出了一种环境激励下用小波能量互熵诊断结构损伤的方法。用ANSYS建一个桥的模型，以此为对象进行研究，获取加速度响应信号。用小波进行分解，得出了不同损伤状态下模型的小波能量熵，分析结果验证了该方法的有效性。

A Method of Structural Damage Diagnosis Based on Wavelet Energy Cross Entropy under Ambient Excitation

The structural response under ambient excitation is a stochastic process. When damage occurs, the response will change, so do the stochastic process. Then the parameters demonstrating the characteristics of stochastic process can be recommended to evaluate the state of structure. Entropy is such a suitable measurement of stochastic process uncertainty,no matter for Gaussian distributed data or for non-Gaussian distributed data. According to those principles,the concept of wavelet energy cross-entropy is proposed based on the techniques of wavelet decomposition,then it is served as an index for damage diagnosis under ambient excitation. The method is tested on the model designed by ANSYS, then the acceleration response acquired is decomposed by the wavelet, different wavelet energy cross-entropy under operational conditions is acquired. The results confirm its effectiveness.