未知激励下基于改进强跟踪卡尔曼滤波的结构响应重构  

STRUCTURAL RESPONSE RECONSTRUCTION BASED ON IMPROVED STRONG TRACKING KALMAN FILTER WITH UNKNOWN EXCITATION

作　　者：侯亚琨 彭珍瑞[1] HOU YaKun;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：《机械强度》2024年第6期1271-1278,共8页Journal of Mechanical Strength

基　　金：国家自然科学基金项目(62161018)资助。

摘　　要：提出一种基于改进强跟踪卡尔曼滤波的结构外部激励计算和响应重构的方法。首先,利用状态空间模型得出结构的外部激励,并将激励与模态坐标结合组成新的状态向量,构建增秩状态空间模型。然后,在传统强跟踪卡尔曼滤波算法的基础上进行改进,使其能够处理有色噪声。最后,利用结构部分测点的加速度响应,实现对结构外部激励的计算及其余未测点的速度、加速度响应的重构,分别通过二维桁架和外伸梁进行数值模拟和试验分析,用来验证所提方法的有效性。结果表明,该方法能够有效地重构结构外部激励、未测点的速度和加速度响应,其响应时程曲线与计算响应或测量响应时程曲线吻合良好。A method for the calculation of structural external excitation and the reconstruction of structural response based on improved strong tracking Kalman filter was proposed.Firstly,the external excitation of the structure was derived by using the state-space model,and the external excitation and structural modal coordinates were combined to form a new state vector and an augmented rank state-space model was constructed.Secondly,an improvement based on the traditional strong tracking Kalman filter algorithm was carried out,which can deal with colored noise.Finally,the acceleration responses of some measuring points in the structure were used to calculate the external excitation of the structure and reconstruct the velocity and acceleration responses of the unmeasured points,the numerical simulation and experimental analysis of the two-dimensional truss and extended beam were respectively carried out to verify the proposed method.The results show that the proposed method can effectively reconstruct the structural external excitations,the velocity and acceleration responses of the unmeasured points,and its response time-history curve is in good agreement with the calculated response time-history curve or the measured response time-history curve.

关 键 词：结构响应重构 状态空间模型 激励计算 改进强跟踪卡尔曼滤波算法 有色噪声 

分 类 号：TH113.1[机械工程—机械设计及理论]