有色噪声下基于改进卡尔曼滤波的结构响应重构  

Structural Response Reconstruction Based on Improved Kalman Filtering with Colored Noise

作　　者：李志娟 彭珍瑞[1] LI Zhijuan;PENG Zhenrui(School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院,兰州730070

出　　处：《噪声与振动控制》2025年第1期46-52,共7页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(62161018)。

摘　　要：针对传统卡尔曼滤波(Kalman Filter,KF)算法进行结构响应重构时无法处理有色噪声,导致重构精度降低的问题,提出一种基于自适应一步相关卡尔曼滤波(Adaptive One-step Correlated Kalman Filter,AOCKF)算法的结构响应重构方法。首先使用AOCKF算法处理测量过程中的时变有色噪声,得到状态的最优估计。然后利用估计的状态向量重构出感兴趣位置处的结构响应。最后对二维桁架和外伸梁分别进行数值模拟和试验分析,验证了所提方法的有效性。结果表明,根据所提方法重构出的响应时程曲线可以较好地拟合真实响应或测量响应时程曲线,且具有较高的重构精度。For the problem that the traditional Kalman filter(KF)algorithm cannot handle colored noise when reconstructing the structural response,resulting in the reduction of reconstruction accuracy,a structural response reconstruction method based on adaptive one-step correlated Kalman filter(AOCKF)algorithm is proposed.Firstly,the time-varying colored noise during the measurement process is processed by using the AOCKF algorithm,and the optimal estimation of the state is obtained.Secondly,the estimated state vector is used to reconstruct the structural responses at the interesting location.Finally,the proposed method is verified by the numerical simulation of the two-dimensional truss and the experimental analysis of the external extension beam.The results show that the response time-history curves reconstructed by the proposed method can fit the real response or measured response time-history curves well,and have high reconstruction accuracy.

关 键 词：声学 有限测量响应 时变有色噪声 卡尔曼滤波算法 响应重构 

分 类 号：TH113.1[机械工程—机械设计及理论]