基于区间B样条小波基函数时变多变量AR模型的时变结构参数识别  

Parameter identification for a time-varying structure using a multi-variable AR model based on interval B-spline wavelet base functions

作　　者：顾海雷[1] 史治宇[1] 许鑫[1] 

机构地区：[1]南京航空航天大学机械结构力学及控制国家重点实验室,南京210016

出　　处：《振动与冲击》2013年第19期86-92,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(11172131;11232007)

摘　　要：研究的是时变动力学结构的参数识别问题。仅利用线性时变结构的多个加速度响应测量数据,将区间B样条小波函数作为时变基函数,构造了基于区间B样条小波基函数的时变多变量自回归模型,并推导了时变结构瞬时频率的识别方法。利用该法对一个三自由度线性时变结构进行了仿真研究,针对结构瞬时频率周期变化,突变和线性变化三种不同的情况分别进行了瞬时频率识别,并在加速度响应数据中加入了不同信噪比的高斯白噪声以检验识别方法的抗噪能力。最后对一个具有质量时变特性的悬臂梁结构进行了实验研究,实验结果充分说明了区间B样条小波基函数时变多变量自回归模型对时变结构参数识别的可行性,有效性和良好的抗噪能力。To identify parameters of a time-varying structure, based on interval B-spline wavelet base functions, a time-varying multi-variable auto regressive (AR) model was established and the structural instantaneous frequencies identification procedure was deduced using multiple acceleration response signals. The simulations were performed for a 3-DOF time-varying dynamic model. The structural instantaneous frequencies including periodically varying, abruptly varying and linearly varying were identified with the proposed AR model using the structure acceleration response data mixed with Gauss white noise in order to verify the anti-noise ability of this identification method. At last, a confirmatory test was conducted using a cantilever beam with time varying mass feature. Its first three instantaneous frequencies were identified well. The results of the test demonstrated that the proposed method has good feasibility, efficiency and anti-noise ability.

关 键 词：时变结构 参数识别 多变量自回归模型 区间B样条小波 

分 类 号：O324[理学—一般力学与力学基础]