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單雙跨油膜力轉(zhuǎn)子非線性動(dòng)力學(xué)特性研究

發(fā)布時(shí)間:2018-03-19 11:59

  本文選題:油膜力軸承 切入點(diǎn):雙跨多盤轉(zhuǎn)子 出處:《蘭州交通大學(xué)》2017年碩士論文 論文類型:學(xué)位論文


【摘要】:對(duì)于轉(zhuǎn)子系統(tǒng)構(gòu)成的旋轉(zhuǎn)機(jī)械應(yīng)用面很廣泛而且常被用在一些重要而又特殊場合,所以對(duì)于轉(zhuǎn)子運(yùn)行的安全穩(wěn)定性就十分重要。人們通過對(duì)重大轉(zhuǎn)子事故的研究和分析,發(fā)現(xiàn)很多情況下引起轉(zhuǎn)子系統(tǒng)運(yùn)動(dòng)失穩(wěn)的原因是眾多非線性力的作用導(dǎo)致的,那么想要從根本上解決問題就要從具體問題中抽象出研究對(duì)象并建立數(shù)學(xué)模型,分析在非線性力作用下轉(zhuǎn)子系統(tǒng)的運(yùn)行特征,從而得到有利于轉(zhuǎn)子運(yùn)行平穩(wěn)的條件以及參數(shù)數(shù)據(jù)。本文分析在強(qiáng)非線性力油膜力、碰磨力以及離心力的作用下,轉(zhuǎn)子系統(tǒng)動(dòng)力學(xué)特性。在假設(shè)轉(zhuǎn)子圓盤質(zhì)量分布不均,存在偏心量以及轉(zhuǎn)子軸承不對(duì)中等條件下建立了單盤油膜力軸承轉(zhuǎn)子系統(tǒng)模型以及油膜力支撐下的雙跨多盤轉(zhuǎn)子系統(tǒng)模型,先用雷諾公式求解出油膜力大小,然后列出轉(zhuǎn)子系統(tǒng)運(yùn)動(dòng)方程,通過四階龍格庫塔法編程,數(shù)值模擬計(jì)算出系統(tǒng)的數(shù)值解,使用分岔圖、相圖、龐加萊映射圖以及時(shí)間歷程圖來闡明了轉(zhuǎn)子系統(tǒng)參數(shù)的變化對(duì)系統(tǒng)解的影響,通過對(duì)它們的變化分析得到了在非線性力的影響下,選取怎樣的系統(tǒng)參數(shù)才會(huì)使得轉(zhuǎn)子發(fā)生碰磨最少,轉(zhuǎn)子運(yùn)行穩(wěn)定。研究結(jié)論表明,對(duì)于雙跨多盤油膜力轉(zhuǎn)子模型,當(dāng)定子剛度值增大時(shí),除了低轉(zhuǎn)速下轉(zhuǎn)子運(yùn)動(dòng)穩(wěn)定,保持不變,在其他區(qū)域都出現(xiàn)大量混沌概周期運(yùn)動(dòng),因此選擇較小的定子剛度值;對(duì)于轉(zhuǎn)子剛度值的變化,當(dāng)它增大時(shí),較低和較高轉(zhuǎn)速下轉(zhuǎn)子系統(tǒng)受影響不大,中等轉(zhuǎn)速下會(huì)逐漸出現(xiàn)大量混沌概周期區(qū)域,所以在確保足夠大的抗變形能力下,選擇比較小的剛度值;當(dāng)圓盤質(zhì)量發(fā)生變化時(shí),低速區(qū)域受到影響較小,運(yùn)動(dòng)始終很穩(wěn)定,中高轉(zhuǎn)速區(qū)域,圓盤質(zhì)量增大,運(yùn)動(dòng)越不穩(wěn)定,所以盡量選擇較小的質(zhì)量值;當(dāng)摩擦系數(shù)增大,對(duì)于系統(tǒng)的影響較小,因此選擇適當(dāng)大小的值,避免碰磨嚴(yán)重的區(qū)域;當(dāng)逐漸增大圓盤阻尼值,中等轉(zhuǎn)速和高轉(zhuǎn)速下的轉(zhuǎn)子出現(xiàn)概周期,復(fù)雜運(yùn)動(dòng)的現(xiàn)象明顯減少,繼續(xù)增大圓盤阻尼值,對(duì)轉(zhuǎn)子運(yùn)動(dòng)穩(wěn)定性的影響開始降低,因此在選取時(shí),選一個(gè)適當(dāng)偏大的圓盤阻尼值;對(duì)于軸承處質(zhì)量值的變化,在低轉(zhuǎn)速區(qū)域影響較小,對(duì)于中等轉(zhuǎn)速區(qū)間影響較大,因此最好選擇較小的軸承端質(zhì)量值。通過對(duì)上述參數(shù)對(duì)系統(tǒng)響應(yīng)的影響分析,可以有助于在轉(zhuǎn)子制造和工作的過程中,選擇合理穩(wěn)定的結(jié)構(gòu)和運(yùn)行參數(shù)。
[Abstract]:The rotor system has a wide range of applications and is often used in some important and special occasions, so it is very important to the safety and stability of rotor operation. It is found that in many cases the instability of rotor system motion is caused by many nonlinear forces, so if we want to solve the problem fundamentally, we must abstract the research object from the concrete problem and establish the mathematical model. The operating characteristics of rotor system under nonlinear force are analyzed, and the conditions and parameter data are obtained, which are favorable to the smooth operation of the rotor. In this paper, the oil film force, rubbing force and centrifugal force of strong nonlinear force are analyzed. Dynamic characteristics of a rotor system. On the assumption that the mass of the rotor disk is unevenly distributed, The rotor system model of single disk oil film force bearing and the double span multi disc rotor system model supported by oil film force are established under the condition of eccentricity and the mismatch of rotor bearing. Then the equations of motion of the rotor system are listed. The numerical solution of the system is calculated by numerical simulation through the fourth order Runge-Kutta method, and the bifurcation diagram and phase diagram are used. Poincare map and time history diagram are used to illustrate the influence of rotor system parameters on the solution of the system. Through the analysis of their variations, the influence of nonlinear forces is obtained. The research results show that for the rotor model of double-span multi-disk oil film force, when the stator stiffness value increases, the rotor motion is stable except at low speed. In other regions, a large number of chaotic almost periodic motions occur, so a smaller stator stiffness value is chosen. When the rotor stiffness value increases, the rotor system will not be affected at lower and higher rotational speeds. At medium rotational speed, a large number of chaotic almost periodic regions will gradually appear, so a relatively small stiffness value is chosen to ensure sufficient anti-deformation capability. When the mass of the disk changes, the low speed region is less affected and the motion is always stable. In the region of medium and high rotational speed, the mass of the disk increases and the movement becomes more unstable, so the smaller the mass value is, the less the influence on the system is when the friction coefficient increases, so the appropriate value is chosen to avoid the serious area of rubbing. When the disk damping value increases gradually, the rotor at medium speed and high speed appears almost periodic, and the phenomenon of complex motion decreases obviously, and the effect on the stability of rotor motion begins to decrease when increasing the damping value of the disk, so when the rotor is selected, Choose an appropriate disk damping value which has less influence on the mass value of the bearing in the region of low speed and a greater influence on the range of medium speed. Therefore, it is better to select a smaller mass value of the bearing end. By analyzing the effect of the above parameters on the system response, it is helpful to select reasonable and stable structure and operation parameters in the process of manufacturing and working of the rotor.
【學(xué)位授予單位】:蘭州交通大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:TH133;TH113

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