基于花斑翠鸟优化径向基移动最小二乘chirplet变换的结构瞬时频率识别  

Structural instantaneous frequency identification based on pied kingfisher optimizer radial basis function moving least squares chirplet transform

作　　者：袁平平 丁雅鑫 羊晨 任伟新 方旺 YUAN Pingping;DING Yaxin;YANG Chen;REN Weixin;FANG Wang(School of Civil Engineering and Architecture,Jiangsu University of Science and Technology,Zhenjiang 212100,China;The First Construction Engineering Company Ltd.of China Construction Second Engineering Bureau,Beijing 100176;College of Civil and Transportation Engineering,Shenzhen University,Shenzhen 518061,China)

机构地区：[1]江苏科技大学土木工程与建筑学院,江苏镇江212100 [2]中建二局第一建筑工程有限公司,北京100176 [3]深圳大学土木与交通工程学院,广东深圳518061

出　　处：《振动与冲击》2025年第5期12-17,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金面上项目(51979130);江苏省博士后科研资助计划项目(2021K562C)。

摘　　要：为提升chirplet变换(chirplet transform,CT)估算瞬时频率的精度,在CT基础上结合花斑翠鸟优化(pied kingfisher optimizer,PKO)和径向基移动最小二乘(radial basis function moving least squares,RBFMLS)算法提出了一种识别结构瞬时频率的新方法。该方法采用正定紧支径向基函数作为移动最小二乘近似的权函数,对CT的能量脊线进行估算,同时应用PKO对RBFMLS节点支撑半径和CT窗函数宽度进行优化。通过一组解析信号数值算例和一个时变拉索试验验证了所提方法的有效性。研究结果表明,该方法能有效改善信号分析的能量聚集性,提高瞬时频率的识别精度。To improve the accuracy of estimating instantaneous frequency with chirplet transform(CT),a new method for identifying structural instantaneous frequency was proposed based on CT combined with the pied kingfisher optimizer(PKO)and the radial basis function moving least squares(RBFMLS)algorithms.This method could use a positive definite tightly supported radial basis function as the weight function of moving least squares approximation to estimate the energy ridge of CT,and optimize RBFMLS node support radius and CT window function width using PKO.The effectiveness of the proposed method was verified through a case of numerical analytical signal and a time-varying cable test.The study results showed that the proposed method can effectively improve the energy aggregation of signal analysis and the identification accuracy of instantaneous frequency.

关 键 词：花斑翠鸟优化(PKO) 径向基移动最小二乘(RBFMLS) chirplet变换(CT) 瞬时频率 

分 类 号：TN911.6[电子电信—通信与信息系统] TU311.3[电子电信—信息与通信工程]