导　　师： 贾启芬

学科专业： 080101

授予学位： 硕士

作　　者： ;

机构地区： 天津大学

摘　　要： 随着电机在国民经济发展中的大规模应用,电机系统的结构日益复杂。电机的大规模应用使得机电耦联振动问题和电机的稳定性问题更加突出和重要。本文采用机电耦联振动系统的理论,对电动机进行了理论和数值计算,研究了电动机由轴承刚度、机座支臂刚度等参数所引起的振动问题。本文的研究内容和主要成果有以下几个方面。 /(1/)简述了电动机的基本知识,电动机的发展现况、未来;并介绍了机电耦联的非线性动力学和机电分析动力学的研究方法。 /(2/)用Riccati传递矩阵法求解了阶梯型转子系统的固有频率和振型,并对影响转子系统频率的一些因素,比如轴承刚度、转子铁芯刚度等,对转子系统频率的影响规律进行了一定的研究。 /(3/)考虑机电耦联非线性因素,结合电机学理论,并考虑到实验的结果,利用机电分析动力学的观点建立了转子系统和定子系统在两种外激励频率下的机电耦联方程组;另外,还找出了转子系统和定子系统固有频率和轴承刚度k /_z、机座支臂刚度c /_z、c/_α的关系式,并做出频率ω关于k /_z、c /_z、c/_α的三维关系图,还有二维关系图。 /(4/)我们研究了外激励力频率为ω2 = 428Hz下的强迫振动规律,以及强迫力频率为ω1 = 100Hz的非线性振动规律。并做出两种情况下的幅频响应曲线,分析电机振动和电机的三个参数k /_z、c /_z、c/_α之间的关系。 With the motor being large-scalely applied in the development of national economy, structure of motor system is complex . The large-scale application of motor makes the nonlinear vibration of mechanical and the stability of the motor a key factor to analyze the system thoroughly. Using the theory of nonlinear dynamics of mechanical and electrical coupled systems, the theoretical and numerical calculation are presented to analyze the vibration of motor with stiffness of bearings and base change. Major work and results obtained are as follows: /(1/) This text describes the basic knowledge of the motor and development situation and future of motor. This text introduces the nonlinear dynamics of electromechanical coupling and research methods of mechanical and electrical analytical dynamics. /(2/) We use Riccati method of transfer matrix to solve natural frequency and vibration mode of ladder type rotor system and study the rule of the effect of the rotor system upon influence factors of the rotor system frequency, such as bearing stiffness, the rotor core rigidity etc. /(3/) Using the mechanical analysis of dynamic viewpoint and considering the nonlinear factors of electromechanical lateral-torsion coupling or the results of the experiment, the mechanical lateral-torsion coupling equations of the stator and rotor system are established. I also find relational expression of inherent frequency of the stator and rotor system about stiffness of bearings and base. Finally, I make three-dimensional relationship chart and two-dimensional relationship chart of inherent frequency about k /_z、c /_z、c/_α. /(4/) We study the rule forced vibration on the condition of frequency of the basic equals 428hz.. We also study the rule of nonlinear vibration on the condition of frequency of the basic equals 100hz. We make the curve of amplitude-frequency response on the two condition and analyze the relationship between vibration of motor and the three parameters of motor k /_z、cz、c/_α.

关 键 词： 电动机 机电耦联 振动 稳定性

领　　域： [电气工程]