本文關(guān)鍵詞：滾動軸承性能的乏信息空間的構(gòu)建和應(yīng)用　出處：《河南科技大學(xué)》2012年碩士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 滾動軸承 振動 摩擦力矩 混沌 模糊關(guān)系 乏信息理論

【摘要】：滾動軸承的振動特性是滾動軸承的重要動態(tài)性能，滾動軸承的摩擦力矩是評價軸承壽命與旋轉(zhuǎn)靈活性的重要指標，振動與摩擦力矩影響著軸承的壽命、噪聲與可靠性。軸承被廣泛的應(yīng)用于各種機械，所以對軸承的振動和摩擦力矩進行深入研究是十分必要的。由于振動和摩擦力矩數(shù)據(jù)具有隨機性和非穩(wěn)定性，因此用經(jīng)典的統(tǒng)計學(xué)理論往往不能精確計算出軸承的振動和摩擦力矩和預(yù)測數(shù)據(jù)的變化趨勢。本文將混沌理論和模糊數(shù)學(xué)理論引入到軸承振動和摩擦力矩預(yù)測領(lǐng)域,用這兩種理論重構(gòu)相空間，使軸承性能時間序列的原始動力學(xué)特征得到最優(yōu)恢復(fù)。 本文采用實驗的方法獲得了軸承振動的實驗數(shù)據(jù)，得到軸承內(nèi)滾道和鋼球在三中故障直徑下的振動數(shù)據(jù)。構(gòu)建一種基于模糊相似關(guān)系的求解相空間重構(gòu)參數(shù)的數(shù)學(xué)模型，可以求出最優(yōu)嵌入維數(shù)m*、最優(yōu)延遲時間τ*以及表征振動時間序列模糊特性的最優(yōu)模糊測度。通過數(shù)學(xué)模型對振動數(shù)據(jù)進行應(yīng)用研究，結(jié)果表明，最優(yōu)模糊測度平均值u隨著內(nèi)滾道故障直徑的不斷增加而急劇減小，最優(yōu)模糊測度平均值u與鋼球故障直徑呈現(xiàn)非線性減小的趨勢。 本文同樣采用實驗的方法獲得了軸承摩擦力矩的實驗數(shù)據(jù)，得到五套KAT軸承摩擦力矩在三轉(zhuǎn)速下的摩擦力矩數(shù)據(jù)。本文構(gòu)建另一種基于模糊等價關(guān)系的求解相空間重構(gòu)參數(shù)的數(shù)學(xué)模型，，可以同時求出最優(yōu)嵌入維數(shù)m*、最優(yōu)延遲時間τ*以及表征軸承摩擦力矩模糊特性的最優(yōu)模糊測度。五套軸承摩擦力矩時間序列經(jīng)計算表明，最優(yōu)模糊測度平均值u的平均值與轉(zhuǎn)速呈現(xiàn)一種近似線性減小的關(guān)系。
[Abstract]:Vibration characteristic of rolling bearing is an important dynamic performance of rolling bearing. Friction moment of rolling bearing is an important index to evaluate bearing life and rotation flexibility. Vibration and friction moment affect bearing life. Bearing is widely used in various kinds of machinery, so it is very necessary to study the vibration and friction torque of bearing. Because the data of vibration and friction torque are random and unstable. Therefore, the classical statistical theory often can not accurately calculate the vibration and friction moment of bearing and the change trend of predicted data. In this paper, chaos theory and fuzzy mathematics theory are introduced into the prediction collar of bearing vibration and friction moment. Domain. Using these two theories to reconstruct the phase space, the original dynamic characteristics of the bearing performance time series can be recovered optimally. In this paper, the experimental data of bearing vibration are obtained by experimental method. The vibration data of bearing inner raceway and steel ball under three fault diameters are obtained. A mathematical model based on fuzzy similarity relation is constructed to solve the phase space reconstruction parameters, and the optimal embedding dimension m * can be obtained. The optimal delay time 蟿 * and the optimal fuzzy measure to characterize the fuzzy characteristics of vibration time series are discussed. The application of the mathematical model to the vibration data shows that. The mean value of the optimal fuzzy measure u decreases sharply with the increasing of the fault diameter of the inner raceway, and the average value of the optimal fuzzy measure u and the fault diameter of the steel ball show a nonlinear decreasing trend. In this paper, the experimental data of bearing friction moment are also obtained by the method of experiment. Five sets of friction torque data of KAT bearing at three speeds are obtained. Another mathematical model of phase space reconstruction parameters based on fuzzy equivalent relationship is constructed in this paper. At the same time, the optimal embedding dimension, the optimal delay time 蟿 * and the optimal fuzzy measure representing the fuzzy characteristics of the bearing friction torque can be obtained simultaneously. Five sets of bearing friction moment time series have been calculated. The average value of the optimal fuzzy measure u is approximately linearly reduced with the rotational speed.
【學(xué)位授予單位】：河南科技大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2012
【分類號】：TH133.33

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