应用加速度响应Chirplet积分的线性时变系统参数识别  

Estimating Parameters of Linear Time Varying System using Chirplet Integration of Acceleration Response

作　　者：张杰[1] 史治宇[1] ZHANG Jie;SHI Zhiyu(State Key Laboratory of Mechanics and Control of Mechanical Structures,College of Aeronautics,Nanjing University of Aeronautics and Astronautics,Naiying 210016,China)

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

出　　处：《机械科学与技术》2021年第2期198-203,共6页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(11172131,11232007);江苏高校优势学科建设工程项目。

摘　　要：提出了线调频小波积分运算方法,在仅获得加速度响应的情况下对结构速度和位移响应进行重构,将时变微分方程转化成区间线性方程组,进而构造最小二乘算法识别结构的时变物理参数。Chirplet基适用于处理时变信号,能在短区间拟合时变系统各阶响应,相比传统小波能更好地追踪信号频率变化特征,通过与微分方程结合提高了时变系统参数识别的效率。方法的有效性和适用性通过一个3自由度时变结构模型进行了验证。This paperuses the Chirplet integration method totransform the time-varying differential equations into interval linear equations by reconstructing the structural velocity and displacement response when the acceleration response is measured.Then the physical parameters of the time-varyingsystem are identified based on the least squares algorithm.The Chirplet basis function is suitable for processing time-varying signals since it fits the time-varying system′s response in a short interval.Compared with the traditional wavelet,it tracks better the frequency variation of signals.It also improves the time-varying parameter identification efficiency by combining differential equations.The validity and applicability of the method is verified with a 3-DOF time-varying structure model.

关 键 词：线性时变系统 Chirplet积分 加速度响应 物理参数识别 

分 类 号：O321[理学—一般力学与力学基础] TB123[理学—力学]