斜齿轮耦合转子系统动力学特性研究

发布时间：2018-06-01 13:48

本文选题：斜齿轮 + 齿轮转子系统　；参考：《东北大学》2012年硕士论文

【摘要】：齿轮转子系统是各种机器和机械设备中应用最广泛的动力和运动传递装置之一,其力学性能和工作性能对整个机器有重要影响。由于齿轮的啮合作用,齿轮轴系的振动特性与简单转子系统有着根本的区别,突出特征为系统各轴间的弯扭耦合振动,对于斜齿轮还存在弯扭轴摆耦合振动。如果不考虑耦合振动的影响,不仅造成计算精度低,而且容易丢失一些重要信息,如模态耦合派生的新频率,扭转激励激发的横向响应等。因此,应从系统的角度对齿轮耦合转子系统进行研究。本文以一个两对斜齿轮耦合的三平行轴转子系统为研究对象,考虑静态传递误差、齿轮几何偏心的影响建立了全自由度通用齿轮啮合动力学模型,并考虑转子系统的影响,建立了平行轴系齿轮转子系统有限元模型。从固有特性和动力学响应两方面对系统进行了分析,主要内容包括以下几个方面： (1)本文以斜齿圆柱齿轮系统为研究对象,考虑齿轮静态传递误差、齿轮几何偏心、输入输出转矩等因素,建立了全自由度通用平行轴齿轮动力学啮合模型。 (2)考虑转子系统的影响,建立了平行轴系齿轮转子系统有限元模型。并对系统进行弯扭轴摆耦合固有特性分析。 (3)为了判断系统的各阶主导模态、主导轴,更好的预测转子系统结构的失效部位、失效性质和实现结构在动力特性上的优化设计,本文提出使用模态应变能和模态应变能密度定量的识别转子系统主导模态和主导轴。并与定性识别的模态振型进行对比,证明了本文提出方法的正确性。 (4)分析了多种参数对系统固有特性的影响。1)不同自由度下齿轮耦合；2)不同的主动轴、主动轴的转向、齿轮的旋向；3)齿轮的啮合刚度、安装角、螺旋角、方位角等因素。 (5)基于API617标准分析了齿轮转子系统在定转速、变转速下的不平衡响应。结果表明在转速范围内,系统响应没有出现峰值,幅值也小于API617标准,因此系统在此范围内运行是安全可靠的。 (6)通过建立齿轮几何偏心的系统动力学方程,分析了齿轮偏心对系统不平衡响应的影响。最后,分析了齿轮偏心量对系统响应的影响。 (7)基于ANSYS软件建立了齿轮的有限元啮合模型。通过接触分析求得多种载荷下齿轮静态传递误差。然后考虑静态传递误差,对系统进行了动力学响应分析。最后,分析了多种载荷下齿轮传递误差的系统动力学响应。本文针对斜齿轮转子系统展开动力学特性的研究,通过大量数值计算得出动态特性的相应结果,为进一步的理论研究和高性能齿轮转子系统的设计提供理论基础。
[Abstract]:The gear rotor system is one of the most widely used power and motion transmission devices in various machines and mechanical equipment. Its mechanical and working properties have an important influence on the whole machine. The vibration characteristic of the gear shafting is different from the root of a simple rotor system because of the Meshing Effect of the gear. If the coupling vibration is torsional coupled vibration, there is also a coupling vibration of the bending and torsion axes. If the influence of coupling vibration is not taken into consideration, the calculation accuracy is low, and some important information is easily lost, such as the new frequency derived from the modal coupling, the lateral response of the torsional excitation and so on. Therefore, the gear coupling rotor system should be carried out from the system angle. Research.
In this paper, a two pair of helical gear coupled rotor system with three parallel axes is taken as the research object. Considering the static transmission error and the influence of the gear geometric eccentricity, the full freedom general gear meshing dynamics model is established. Considering the influence of the rotor system, a finite element model of the parallel shaft gear system is established. The system is analyzed in response to two parties. The main contents are as follows:
(1) in this paper, the dynamic meshing model of a universal parallel axis gear is established, taking the helical gear system as the research object, considering the static transmission error of the gear, the gear geometric eccentricity, the input and output torque and so on.
(2) considering the influence of the rotor system, a finite element model of the parallel shaft gear rotor system is established, and the inherent characteristics of the system are analyzed.
(3) in order to judge the leading modes of each order of the system, the leading axis, better prediction of the failure parts of the rotor system structure, the failure properties and the optimal design of the structure on the dynamic characteristics, this paper proposes the identification of the dominant mode and the leading axis of the rotor system using modal strain energy and modal strain energy density. The comparison of vibration modes proves the correctness of the method proposed in this paper.
(4) analysis of the influence of various parameters on the inherent characteristics of the system.1) gear coupling under different degrees of freedom; 2) the different active axis, the steering of the active axis, the rotation of the gear; 3) the meshing stiffness, the installation angle, the helix angle, and the azimuth angle of the gear.
(5) based on the API617 standard, the unbalanced response of the gear rotor system at fixed speed and variable speed is analyzed. The results show that the response of the system does not appear to be peak and the amplitude is less than the API617 standard in the range of speed, so the system is safe and reliable in this range.
(6) by establishing the system dynamics equation of gear geometric eccentricity, the influence of gear eccentricity on the unbalanced response of the system is analyzed. Finally, the influence of gear eccentricity on the response of the system is analyzed.
(7) the finite element meshing model of gear is established based on ANSYS software. Through contact analysis, the static transmission error of gears under various loads is obtained. Then considering the static transmission error, the dynamic response of the system is analyzed. Finally, the system dynamic response of gear transmission error under various loads is analyzed.
In this paper, the dynamic characteristics of the helical gear rotor system are studied, and the corresponding results of the dynamic characteristics are obtained by a large number of numerical calculations. It provides a theoretical basis for the further theoretical research and the design of high performance gear rotor system.
【学位授予单位】：东北大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41

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