CAJ | 학술논문

针对齿轮箱振动信号的非线性和非平稳性，提出一种基于Q阶加权矩结构分割函数法的分数阶时频谱多重分形特征提取方法。首先构造时频分辨率较好的分数阶 S 变换技术获取齿轮箱振动信号的分数阶时频谱；然后针对分数阶时频谱的特点，设计出一种 Q 阶加权矩结构分割函数法，用于提取分数阶时频谱的多重分形特征参数。对5种状态的齿轮箱振动信号进行了分析和研究，结果表明齿轮箱振动信号的分数阶时频谱具有多重分形特性，Q 阶加权矩结构分割函数法提取的多重分形特征参数能有效描述分数阶时频谱的多重分形特征。
침대치륜상진동신호적비선성화비평은성，제출일충기우Q계가권구결구분할함수법적분수계시빈보다중분형특정제취방법。수선구조시빈분변솔교호적분수계 S 변환기술획취치륜상진동신호적분수계시빈보；연후침대분수계시빈보적특점，설계출일충 Q 계가권구결구분할함수법，용우제취분수계시빈보적다중분형특정삼수。대5충상태적치륜상진동신호진행료분석화연구，결과표명치륜상진동신호적분수계시빈보구유다중분형특성，Q 계가권구결구분할함수법제취적다중분형특정삼수능유효묘술분수계시빈보적다중분형특정。
For the nonlinearity and nonstationarity of gearbox vibration signals,a multifractal feature extraction approach for their fractional time-frequency spectra based on a Qth order weighted moment structure partition function method was proposed.A fractional S transformation with better time-frequency resolution was firstly constructed to obtain fractional time-frequency spectra of gearbox vibration signals.Then,aiming at the characteristics of fractional time-frequency spectra,a Qth order weighted moment structure partition function method was designed to extract multifractal features of the fractional time-frequency spectra.The gearbox vibration signals under five states were analyzed.The results indicated that the fractional time-frequency spectra of gearbox vibration signals have the multifractal features,and the extracted multifractal features using the Qth order weighted moment structure partition function method can more effectively describe the multifractal characteristics of fractional time-frequency spectra.