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含松動(dòng)與碰摩的轉(zhuǎn)子—軸承系統(tǒng)非線性動(dòng)力學(xué)分析

發(fā)布時(shí)間:2018-08-21 08:10
【摘要】:大型旋轉(zhuǎn)機(jī)械的安全運(yùn)行對于社會生活和經(jīng)濟(jì)發(fā)展是至關(guān)重要的,支座松動(dòng)和碰摩是大型旋轉(zhuǎn)機(jī)械的常見故障。為深入了解轉(zhuǎn)子松動(dòng)故障的機(jī)理,本文對含松動(dòng)與碰摩的轉(zhuǎn)子-軸承系統(tǒng)的復(fù)雜非線性動(dòng)力學(xué)行為進(jìn)行了系統(tǒng)的理論分析和數(shù)值計(jì)算研究: 1.考慮支座松動(dòng)和轉(zhuǎn)定子之間局部碰摩,建立了轉(zhuǎn)子系統(tǒng)的非線性動(dòng)力學(xué)模型,將動(dòng)力學(xué)模型標(biāo)準(zhǔn)化為6個(gè)量綱一的一階非線性微分方程。采用Fortran軟件進(jìn)行了數(shù)值計(jì)算,討論不同轉(zhuǎn)速和偏心量等參數(shù),轉(zhuǎn)子系統(tǒng)的周期和混沌運(yùn)動(dòng)。利用編程繪制了時(shí)程曲線、相圖、軸心軌跡、龐加萊映射等特性曲線,,給出了轉(zhuǎn)速一定,轉(zhuǎn)子系統(tǒng)隨偏心量變化的分岔圖。 2.考慮支座松動(dòng)和非線性油膜力,建立了轉(zhuǎn)子—軸承系統(tǒng)的非線性動(dòng)力學(xué)模型。將動(dòng)力學(xué)模型標(biāo)準(zhǔn)化為14個(gè)量綱一的一階非線性微分方程,利用Matlab編程,運(yùn)用數(shù)值積分方法獲取了系統(tǒng)的非線性動(dòng)力響應(yīng),分析了轉(zhuǎn)子轉(zhuǎn)速、轉(zhuǎn)子偏心量及軸承座質(zhì)量對系統(tǒng)動(dòng)力響應(yīng)的影響,并運(yùn)用分岔圖、相圖以及龐加萊映射進(jìn)行了系統(tǒng)分岔與混沌特征分析,以及給出了偏心量一定,支座質(zhì)量和轉(zhuǎn)速變化的系列分岔圖。 3.同時(shí)考慮支座松動(dòng)、碰摩力和非線性油膜力,建立了轉(zhuǎn)子—軸承系統(tǒng)的非線性動(dòng)力學(xué)模型。利用4階Rounge-Kutta法求解非線性動(dòng)力學(xué)方程,運(yùn)用Matlab對系統(tǒng)進(jìn)行數(shù)值模擬,通過分析相圖、分岔圖、Poincare截面圖以及幅值譜圖,得出系統(tǒng)豐富的非線性特性,繪制了支座質(zhì)量一定,偏心量和轉(zhuǎn)速變化的系列分岔圖。 綜上所述,本文通過研究轉(zhuǎn)子—軸承系統(tǒng):1支座松動(dòng)與碰摩耦合;2支座松動(dòng)與油膜力耦合;3支座松動(dòng)、碰摩和油膜力同時(shí)耦合,三種情況的非線性動(dòng)力學(xué)變化規(guī)律,為轉(zhuǎn)子系統(tǒng)穩(wěn)定運(yùn)行以及故障診斷提供了理論和應(yīng)用參考。
[Abstract]:The safe operation of large rotating machinery is of great importance to social life and economic development, and the loosening of bearings and rub-impact are the common faults of large rotating machinery. In order to deeply understand the mechanism of rotor loosening fault, the complex nonlinear dynamic behavior of rotor-bearing system with loosening and rubbing is systematically analyzed and numerically calculated in this paper: 1. In this paper, the nonlinear dynamic model of rotor system is established by considering the local rub-impact between the support loosening and the rotor. The dynamic model is standardized as the first order nonlinear differential equation with six dimensions and one dimension. The numerical calculation is carried out by using Fortran software. The period and chaotic motion of rotor system are discussed with different rotational speed and eccentricity. The characteristic curves of time history curve, phase diagram, axis locus and Poincare map are plotted by programming. The bifurcation diagram of rotor system with eccentricity is given. 2. The nonlinear dynamic model of rotor-bearing system is established considering the loosening of bearing and nonlinear oil film force. The first order nonlinear differential equation with 14 dimensions is standardized. The nonlinear dynamic response of the system is obtained by using the numerical integral method and the Matlab programming. The rotor speed is analyzed. The effects of rotor eccentricity and bearing mass on the dynamic response of the system are analyzed. The bifurcation and chaos characteristics of the system are analyzed by using bifurcation diagram, phase diagram and Poincare map, and the certain eccentricity is given. Series bifurcation diagrams for mass and rotational speed variations of bearings. 3. At the same time, the nonlinear dynamic model of rotor-bearing system is established considering the support loosening, rub-impact force and nonlinear oil film force. The fourth order Rounge-Kutta method is used to solve the nonlinear dynamic equation, and Matlab is used to simulate the system. By analyzing the phase diagram, bifurcation diagram and amplitude spectrum, the rich nonlinear characteristics of the system are obtained, and the bearing mass is given. A series of bifurcation diagrams of eccentricity and rotational speed variation. To sum up, this paper studies the nonlinear dynamic change of rotor-bearing system by loosening and rub-rubbing coupling support loosening and oil-film force coupling support loosening, rub-impact and oil film force coupling. It provides a theoretical and practical reference for rotor system stable operation and fault diagnosis.
【學(xué)位授予單位】:河北工業(yè)大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2014
【分類號】:TH133.3;TH113

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