研究了3种基于时间响应函数的结构阻尼识别方法,包括对数衰减法、希尔伯特方法和小波方法.给出了3种方法的实现算法,分析了对密集模态的识别能力.构造仿真算例,采用3种方法识别了5%,10%和30%噪声条件下的模态阻尼.结果表明,小波方法比对数衰减法和希尔伯特方法具有更好的噪声鲁棒性.采用小波方法分析了润扬大桥结构健康监测系统获得的实测数据,识别出了润扬大桥悬索桥前6阶模态参数,第2阶和第3阶模态频率相差仅为0.015Hz.研究表明,小波方法具备噪声条件下密集模态的识别能力,是工程中阻尼识别的优选方法.
Three damping identification methods based on time response functions are studied in this paper, including the logarithmic decrement method,the Hilbert transform method and the wavelet transform method. The algorithms of these methods are presented and the ability of these methods to identify close modes is analyzed.The damping estimation accuracy is calculated using noise contaminated response with 5%,10% and 30%white noises,respectively.Results show that the wavelet transform method is more robust than the logarithmic decrement method and the Hilbert transform method.The wavelet transform method is then used to identify the modal parameters of Runyang suspension bridge using the vibration responses obtained by Structural Health Monitoring System.Modal parameters of six low order modes are identified.The difference of the modal frequency between the second mode and the third mode is only 0.015 Hz.Therefore,the wavelet transform method can identify modal damping of closely spaced modes from noise contaminated data.The method should be a good choice for engineering applications.