齿轮传动系统弯扭耦合振动的动态特性研究

发布时间：2018-01-11 15:29

本文关键词：齿轮传动系统弯扭耦合振动的动态特性研究　出处：《华中科技大学》2011年硕士论文　论文类型：学位论文

【摘要】：齿轮传动是应用最广泛、最重要的传动方式之一,当前基于静态特性的齿轮设计理论已经成熟,接触强度、弯曲强度已经能够满足使用要求,而齿轮传动系统的动态特性如振动、冲击、噪声等已经成为制约齿轮系统性能进一步提高的瓶颈,因此,本文以单级直齿齿轮传动系统为研究对象,对其动力学特性进行了研究。本文在考虑了时变啮合刚度、啮合阻尼、轴承刚度等因素的基础上,利用集中参数法建立了齿轮传动系统弯扭耦合4自由度动力学模型。由于齿轮时变啮合刚度对系统的动态特性有重要影响,本文利用基于能量方法的数值积分公式求解了齿轮时变啮合刚度,并对其进行曲线拟合,得到其傅里叶级数展开解析表达式。应用模态分析的理论分析了系统的固有特性,求得了系统的固有频率及模态振型。应用数值方法求解了刚性的系统振动微分方程,得到了参数激励下齿轮传动系统的扭转振动、弯曲振动的时域、频域响应及动态啮合力。最后,本文研究了重合度、啮合阻尼、啮合频率、轴承刚度对系统动态特性的影响,分析了系统在不同参数条件下的响应变化规律。
[Abstract]:Gear transmission is one of the most widely used and most important transmission methods. At present, the theory of gear design based on static characteristics has been mature, contact strength, bending strength has been able to meet the requirements. The dynamic characteristics of gear transmission system, such as vibration, shock, noise and so on, have become the bottleneck restricting the further improvement of gear system performance. Therefore, this paper takes the single-stage spur gear transmission system as the research object. The kinetic characteristics of the system were studied. In this paper, time-varying meshing stiffness, meshing damping, bearing stiffness and other factors are considered. The dynamic model of four degrees of freedom coupled with bending and torsion of gear transmission system is established by means of the lumped parameter method. The time-varying meshing stiffness of gear has an important effect on the dynamic characteristics of the system. In this paper, the time-varying meshing stiffness of gears is solved by using the numerical integral formula based on the energy method, and the curve fitting is carried out, and the analytic expression of the Fourier series expansion is obtained. The inherent characteristics of the system are analyzed by using the theory of modal analysis. The natural frequencies and modal modes of the system are obtained, and the differential equations of vibration of the rigid system are solved by numerical method. The torsional vibration, bending vibration and dynamic meshing force in time domain and frequency domain are obtained. Finally, the effects of the degree of coincidence, meshing damping, meshing frequency and bearing stiffness on the dynamic characteristics of the system are studied, and the response law of the system under different parameters is analyzed.
【学位授予单位】：华中科技大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.41

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