【摘要】：氣浮軸承具有高轉速、小振動等優(yōu)點，都較好的滿足了現(xiàn)代社會對加工精度的高要求，與滾珠軸承與液體軸承相比，在高精密領域、航空航天領域、醫(yī)療領域、光學領域等各行各業(yè)都有著不可替代的優(yōu)越性和實用性。隨著氣浮軸承的廣泛應用，對其靜、動態(tài)特性的分析也顯得越來越重要。本課題試圖通過對氣浮軸承的動態(tài)特性的理論研究，為實際生產實踐帶來一些分析途徑和指導方法。 對軸承動態(tài)特性進行分析時，雷諾方程中時間效應項不能被忽略。針對這個問題，本文中，首先運用時間離散的方法，對含時間效應項雷諾方程進行化簡，再運用加權余量法結合有限元的方法對化簡后雷諾方程進行離散。 然后，對軸承——轉子系統(tǒng)進行動力學分析，對柱渦及錐渦兩種運動形式分別建立數(shù)學模型，并考慮它們的相互影響對氣膜厚度進行了分析。 之后，運用弱耦合的方法，將雷諾方程與動力學方程聯(lián)系起來，，循環(huán)迭代求解。運用Matlab編寫雷諾方程與動力學方程求解程序，根據弱耦合求解過程，獲取仿真數(shù)據。根據得到的仿真結果，對轉速、質量偏心、轉子質量等影響系統(tǒng)穩(wěn)定性的因素進行分析。 最后，結合非線性理論，通過轉子軌跡法和分岔方法，對系統(tǒng)動態(tài)特性進行進一步仿真分析。 本文通過與實際情況及理論分析的結合，最終定性的驗證了化簡過程、建模方法及弱耦合求解思路的正確性。
[Abstract]:Air bearing has the advantages of high speed, small vibration and so on. It can meet the high requirement of machining precision in modern society. Compared with ball bearing and liquid bearing, air bearing is in high precision field, aerospace field, medical field, etc. Optical field and other industries have irreplaceable advantages and practicability. With the wide application of air bearing, it is more and more important to analyze its static and dynamic characteristics. Through the theoretical study of the dynamic characteristics of the air bearing, this paper attempts to bring some analytical approaches and guiding methods for the practical production practice. When analyzing the dynamic characteristics of bearing, the time effect term in Reynolds equation can not be ignored. In order to solve this problem, in this paper, firstly, the Reynolds equation with time-effect term is simplified by using the method of time discretization, and then the Reynolds equation is discretized by the method of weighted residual method and finite element method. Then, the dynamic analysis of the bearing-rotor system is carried out, and the mathematical models of the cylindrical vortex and the conical vortex are established respectively, and the thickness of the gas film is analyzed considering the interaction between them. Then, by using weakly coupled method, the Reynolds equation is connected with the dynamic equation, and the cyclic iterative solution is obtained. The Reynolds equation and dynamics equation are solved by Matlab, and the simulation data are obtained according to the weak coupling solution process. According to the simulation results, the factors affecting the stability of the system, such as speed, mass eccentricity and rotor mass, are analyzed. Finally, combined with nonlinear theory, the dynamic characteristics of the system are further simulated and analyzed by rotor trajectory method and bifurcation method. By combining with the actual situation and theoretical analysis, this paper qualitatively verifies the correctness of the simplification process, modeling method and weakly coupled solution.
【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】：2012
【分類號】：TH133.3

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10 張新江,高N

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