气浮轴承转子系统动态特性的数值分析
发布时间：2018-08-25 12:39
【摘要】：气浮轴承具有高转速、小振动等优点，都较好的满足了现代社会对加工精度的高要求，与滚珠轴承与液体轴承相比，在高精密领域、航空航天领域、医疗领域、光学领域等各行各业都有着不可替代的优越性和实用性。随着气浮轴承的广泛应用，对其静、动态特性的分析也显得越来越重要。本课题试图通过对气浮轴承的动态特性的理论研究，为实际生产实践带来一些分析途径和指导方法。 对轴承动态特性进行分析时，雷诺方程中时间效应项不能被忽略。针对这个问题，本文中，首先运用时间离散的方法，对含时间效应项雷诺方程进行化简，再运用加权余量法结合有限元的方法对化简后雷诺方程进行离散。 然后，对轴承——转子系统进行动力学分析，对柱涡及锥涡两种运动形式分别建立数学模型，并考虑它们的相互影响对气膜厚度进行了分析。 之后，运用弱耦合的方法，将雷诺方程与动力学方程联系起来，，循环迭代求解。运用Matlab编写雷诺方程与动力学方程求解程序，根据弱耦合求解过程，获取仿真数据。根据得到的仿真结果，对转速、质量偏心、转子质量等影响系统稳定性的因素进行分析。 最后，结合非线性理论，通过转子轨迹法和分岔方法，对系统动态特性进行进一步仿真分析。 本文通过与实际情况及理论分析的结合，最终定性的验证了化简过程、建模方法及弱耦合求解思路的正确性。
[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.
【学位授予单位】：哈尔滨工业大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH133.3
[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.
【学位授予单位】：哈尔滨工业大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH133.3
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