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迭代生成微分方程分解方法研究

發(fā)布時(shí)間:2018-03-24 07:31

  本文選題:多分量 切入點(diǎn):生成微分方程 出處:《工程科學(xué)學(xué)報(bào)》2017年10期


【摘要】:針對(duì)實(shí)際振動(dòng)信號(hào)中多分量分離問題,在生成微分方程解調(diào)技術(shù)的基礎(chǔ)上,提出一種新的迭代分解方法.首先采用生成微分方程(generating differential equation,GDE),估計(jì)初始振動(dòng)信號(hào)的瞬時(shí)頻率和幅值包絡(luò),然后對(duì)瞬時(shí)頻率通過低通濾波分離出第一個(gè)頻率,基于此頻率對(duì)原始信號(hào)通過高通濾波器后提取的成分作為第一個(gè)分量,最后用初始信號(hào)減去第一個(gè)分量的余值作為下一次迭代的初始值,迭代同樣的步驟分析分解直到獲取所有信號(hào)分量,以低于能量比閾值作為迭代終止條件.本方法不需要先驗(yàn)信息.通過仿真信號(hào)驗(yàn)證并與傳統(tǒng)方法進(jìn)行對(duì)比分析,證明了方法的有效性.通過實(shí)測(cè)軸承試驗(yàn)信號(hào)的故障分析,證明了方法的實(shí)用性.
[Abstract]:In view of the problem of multi-component separation in actual vibration signal, the demodulation technique of generating differential equation is used to solve the problem. A new iterative decomposition method is proposed. Firstly, the instantaneous frequency and amplitude envelope of the initial vibration signal are estimated by generating differential equation generating differential equation.Then the first frequency is separated by low-pass filter. Based on this frequency, the components extracted from the original signal through the high pass filter are taken as the first component, and the residual value of the first component is subtracted from the initial signal as the initial value of the next iteration. Iterative analysis decomposes the same steps until all signal components are obtained, and uses the lower energy ratio threshold as the termination condition of the iteration. The method does not require prior information, and is verified by simulation signals and compared with traditional methods. The validity of the method is proved, and the practicability of the method is proved by the fault analysis of the measured bearing test signal.
【作者單位】: 北京科技大學(xué)機(jī)械工程學(xué)院;
【基金】:國(guó)家自然科學(xué)基金資助項(xiàng)目(11272047,51475038) 教育部新世紀(jì)優(yōu)秀人才支持計(jì)劃資助項(xiàng)目(NCET-12-0775)
【分類號(hào)】:TH133.3;TN911.6

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