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螺旋槽氣體靜壓軸承的性能研究

發(fā)布時間:2018-07-08 18:56

  本文選題:靜壓氣體軸承 + 雷諾方程; 參考:《哈爾濱工業(yè)大學》2013年碩士論文


【摘要】:氣浮軸承較之使用的傳統(tǒng)軸承而言有著很大優(yōu)勢,它具有的摩擦極小、溫升小、不產(chǎn)生污染以及能適應惡劣環(huán)境等特點使之在現(xiàn)在的精密機械中得到大量運用。就現(xiàn)階段來說,氣體軸承的發(fā)展方向基本都是向著更高速度、更高剛度、更好的穩(wěn)定性以及更高精確度的方向發(fā)展。然而,當特定軸承的轉速達到一定程度時會產(chǎn)生渦動,從而造成軸承旋轉的不穩(wěn)定,這種現(xiàn)象對精密機械的正常工作往往會造成重大影響。 另外,氣浮軸承在高速旋轉時,能觀察到比較明顯的動壓效應,,如果能夠利用好動壓效應就能有效提高轉子剛度和轉動穩(wěn)定性。但是,對于表面精度非常高的軸承內(nèi)孔和轉軸而言,單單依靠軸本身產(chǎn)生的動壓效應得到的剛度是非常有限的。因此,針對這樣一個特定的現(xiàn)象,課題試圖從靜壓軸承的結構出發(fā),通過在軸承上加一對螺旋槽來改進氣體軸承的穩(wěn)定性。所以,本課題的主要工作重點將會放在螺旋槽對氣體軸承的承載能力以及穩(wěn)定性分析上。工作過程將會包括如下的幾點。 對于軸承靜特性分析。建立軸承的有限單元模型,根據(jù)雷諾方程,同時考慮軸承的邊界條件,利用加權余量法建立承載能力以及剛度分布狀況的計算程序。此中重點考慮的是設置的螺旋槽結構參數(shù)變化時靜特性的變化情況,并對不同情況下結果做直觀比較。 在得到氣體軸承的靜壓特性之后,分析軸承的動態(tài)特性。在這里主要使用的是PH攝動法。對雷諾方程進行一階泰勒展開,這樣可以得到計算靜壓軸承動態(tài)剛度與阻尼。在計算過程中,通過差分法與超松弛迭代法求解偏微分方程組,使用Simpson復化積分法求解動特性系數(shù),而對于穩(wěn)定性的判斷方法,采用Routh-Hurwitz穩(wěn)定性判據(jù)。編寫Matlab計算程序,這里重點分析氣浮軸承螺旋槽結構參數(shù)變化時對各動態(tài)特性系數(shù)的影響情況,同時對比不同情況下的連續(xù)變化情況。
[Abstract]:Air bearing has a great advantage over traditional bearings. It has the characteristics of minimal friction, low temperature rise, no pollution, and can adapt to the harsh environment, so it has been widely used in the present precision machinery. At the present stage, the development direction of gas bearing is towards higher speed, higher stiffness, better stability and higher precision. However, when the rotational speed of a certain bearing reaches a certain degree, a vortex will occur, which will lead to the instability of the bearing rotation. This phenomenon often has a significant impact on the normal operation of precision machinery. In addition, an obvious dynamic pressure effect can be observed when the air bearing rotates at high speed. If the dynamic pressure effect can be used, the rotor stiffness and rotational stability can be improved effectively. However, for the bearing bore and shaft with high surface precision, the stiffness obtained by the dynamic pressure effect produced by the shaft itself is very limited. Therefore, in view of such a special phenomenon, the paper tries to improve the stability of gas bearing by adding a pair of spiral slots to the bearing from the structure of the hydrostatic bearing. Therefore, the main work of this paper will focus on the bearing capacity and stability analysis of helical grooves to gas bearings. The process will include the following points. The static characteristics of the bearing are analyzed. The finite element model of bearing is established. According to Reynolds equation and considering the boundary condition of bearing, the calculation program of bearing capacity and stiffness distribution is established by using weighted residual method. In this paper, the static characteristics of the helical groove structure parameters are considered, and the results are compared intuitively. After the hydrostatic characteristics of the gas bearing are obtained, the dynamic characteristics of the bearing are analyzed. Here the main use is the PH perturbation method. The first order Taylor expansion of Reynolds equation is used to calculate the dynamic stiffness and damping of the hydrostatic bearing. In the process of calculation, the partial differential equations are solved by difference method and overrelaxation iterative method, and the dynamic characteristic coefficients are solved by Simpson complex integration method, while the Routh-Hurwitz stability criterion is used to judge the stability. In this paper, Matlab program is compiled to analyze the influence of structural parameters of helical groove on the dynamic characteristics of air bearing. At the same time, the continuous variation under different conditions is compared.
【學位授予單位】:哈爾濱工業(yè)大學
【學位級別】:碩士
【學位授予年份】:2013
【分類號】:TH133.36

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