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

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (5) : 12-17.

振动与机械科学

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

袁平平1,丁雅鑫2，羊晨1,任伟新*3 ,方旺2

作者信息 +

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

YUAN Pingping1, DING Yaxin2, YANG Chen1, REN Weixin*3, FANG Wang2

Author information +

文章历史 +

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。

Abstract

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.

导出引用

袁平平1, 丁雅鑫2, 羊晨1, 任伟新3, 方旺2. 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[J]. 振动与冲击, 2025, 44(5): 12-17

YUAN Pingping1, DING Yaxin2, YANG Chen1, REN Weixin3, FANG Wang2. Structural instantaneous frequency identification based on pied kingfisher optimizer radial basis function moving least squares chirplet transform[J]. Journal of Vibration and Shock, 2025, 44(5): 12-17

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