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稀疏信號(hào)分解-分段擬合逼近及其無(wú)轉(zhuǎn)速計(jì)階比應(yīng)用

發(fā)布時(shí)間:2019-02-15 12:45
【摘要】:針對(duì)傳統(tǒng)無(wú)轉(zhuǎn)速階比存在低階擬合階次模糊和高階擬合頻率積分方程難求解的問(wèn)題,提出了一種基于稀疏信號(hào)分解和分段擬合積分逼近的無(wú)轉(zhuǎn)速計(jì)階比方法。根據(jù)嚙合頻率的稀疏信號(hào)分解動(dòng)態(tài)時(shí)間支撐區(qū)對(duì)瞬時(shí)轉(zhuǎn)頻分段,并進(jìn)行低階多項(xiàng)式擬合,采用積分逼近方法代替求解方程,確定等角度重采樣時(shí)刻,準(zhǔn)確實(shí)現(xiàn)無(wú)轉(zhuǎn)速計(jì)下的階比分析。仿真和實(shí)測(cè)信號(hào)試驗(yàn)結(jié)果表明:基于嚙合頻率動(dòng)態(tài)時(shí)間支撐區(qū)對(duì)瞬時(shí)轉(zhuǎn)頻分段,既能保證各段內(nèi)頻率變化簡(jiǎn)單,又能使分段最少;在各分段內(nèi)采用2階多項(xiàng)式就能準(zhǔn)確擬合,解決了單個(gè)多項(xiàng)式整體擬合精度不高、缺乏自適應(yīng)性的問(wèn)題;積分逼近求解等角度重采樣時(shí)刻,不需要求解方程,有效解決了方程無(wú)解、無(wú)實(shí)數(shù)解影響階比結(jié)果的問(wèn)題;基于稀疏信號(hào)分解和分段擬合積分逼近的無(wú)轉(zhuǎn)速計(jì)階比方法,為無(wú)轉(zhuǎn)速計(jì)條件下旋轉(zhuǎn)機(jī)械變轉(zhuǎn)速過(guò)程信號(hào)階比分析提供了一種新的有效途徑。
[Abstract]:In order to solve the problems of low order fuzzy fitting order and difficult solving of high order fitting frequency integral equation, a method of order ratio without tachometer based on sparse signal decomposition and piecewise fitting integral approximation is proposed. According to the sparse signal decomposition dynamic time support region of meshing frequency, the instantaneous switching frequency is segmented, and the low order polynomial fitting is carried out. The integral approximation method is used instead of solving the equation, and the equal angle resampling time is determined. The order analysis without tachometer is realized accurately. The results of simulation and actual signal test show that the instantaneous frequency segment based on the dynamic time support region of meshing frequency can not only guarantee the simple frequency change in each segment, but also make the segment minimum. Two order polynomials can fit accurately in each segment, which solves the problem that the whole fitting accuracy of single polynomial is not high, and the problem of lack of adaptability is solved. The solution of integral approximation is equal angle resampling time without the need to solve the equation, the problem that the equation has no solution and no real solution affects the order result is solved effectively. Based on sparse signal decomposition and piecewise fitting integral approximation, the method of order ratio of tachometer without tachometer provides a new and effective way for signal order analysis of variable speed process of rotating machinery without tachometer.
【作者單位】: 軍事交通學(xué)院軍用車(chē)輛系;天津大學(xué)機(jī)械工程學(xué)院;軍事交通學(xué)院訓(xùn)練部;
【基金】:總后勤部預(yù)研資助項(xiàng)目(AS407C001)
【分類(lèi)號(hào)】:TN911.7

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