应用卡尔曼滤波的激振力时域识别方法研究  

Research on Time-domain Identification Method of Excitation Force using Kalman Filter

作　　者：马也驰 刘晓昂[1,2] 周志革 MA Yechi;LIU Xiaoang;ZHOU Zhige(School of Mechanical Engineering,Hebei University of Technology,Tianjin 300130,China;Tianjin Key Laboratory of Power Transmission and Safety Technology for New Energy Vehicles,Hebei University of Technology,Tianjin 300130,China)

机构地区：[1]河北工业大学机械工程学院,天津300130 [2]河北工业大学天津市新能源汽车动力传动及安全技术重点实验室,天津300130

出　　处：《机械科学与技术》2021年第8期1214-1224,共11页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(51705128);河北省自然科学基金项目(E2019202169)。

摘　　要：激振力识别属于结构动力学中的第二类反问题,为识别振动系统的激励力,本文基于卡尔曼滤波器和最小方差估计的方法,分别建立了以系统位移和加速度为输入参数的激振力时域识别方法。推导了两种方法的识别公式,并对两种方法的识别结果和识别结果的稳健性进行了仿真分析。仿真结果表明,两种方法对噪声方差初值的设定均不敏感;以加速度幅值为输入的方法识别精度优于以位移幅值为输入的方法;以位移幅值为输入的方法识别结果稳健性较好。最后采用力锤敲击试验验证了识别方法的有效性和精度。In order to effectively identify the excitation force of a vibration system,based on the Kalman filter and the minimum variance estimation method,two time-domain identification methods of the excitation force with system displacement and acceleration as input parameters are established respectively.The identification formulas of these two methods are derived,and the identification results and robustness of the two methods are simulated and analyzed.The simulation results show that the two methods are insensitive to the initial setting of the variance of the noise.The recognition accuracy of the method with acceleration as input is better than the method with displacement as input.The robustness of the identification results of the method with displacement as input is better than the method with acceleration as input.Finally,the effectiveness and accuracy of the time-domain identification methods are verified by hammer knock test.

关 键 词：系统激振力 载荷识别方法 动力学反问题 卡尔曼滤波方法 最小方差估计 

分 类 号：TH113.1[机械工程—机械设计及理论]