齿轮系统动力学及参数合理匹配研究

发布时间：2018-04-05 05:38

本文选题：行星齿轮　切入点：动力学　出处：《兰州交通大学》2013年硕士论文

【摘要】：齿轮传动是一种应用最广泛的机械传动。由于齿侧间隙、时变啮合刚度、综合啮合误差和阻尼等因素的存在，从而导致齿轮传动系统动力学行为具有丰富的非线性特性。行星齿轮传动相比于普通的齿轮传动，拥有更高的功重比和更多的传动比，但因其结构复杂，也有着更多振动和噪声的问题。本文以二级齿轮传动系统和拉威娜式复合行星齿轮传动系统为对象，综合考虑影响齿轮系统传动的主要因素，分别建立了二级齿轮传动系统和拉威娜式复合行星齿轮传动系统的非线性动力学模型，并对其进行了数值仿真，得到了系统模型的分岔图、最大Lyapunov指数图、最大动载荷图、冲击状态图、相图、时间响应图、动载荷响应图和FFT图等。基于数值仿真结果，结合非线性理论方法，分别研究了各参数下系统的分岔特性以及系统在时域和频域内的振动特性，分析了各参数对系统振动特性的影响及关联关系，给出各参数选择依据及优选区间。研究结果表明：随着激励频率的变化系统会展现出丰富的动力学行为，由于齿侧间隙等非线性因素的存在，系统还出现了“跳跃”和“激变”等非线性系统所特有的动力学行为，而且“跳跃”和“激变”还是引起齿轮副间动载荷变化的主要因素，有些时候还会导致冲击状态的变化。外载荷逐渐增大时，系统会趋向周期运动，从混沌控制的角度来说，适当的增大外载荷可以有效的控制混沌运动的发生。时变啮合刚度和阻尼也是影响系统的主要的非线性因素，在一定参数范围内刚度越大、阻尼越小，系统越容易产生混沌运动，而混沌运动在实际机械系统中是有害的，因此在齿轮系统的动态设计时要避开混沌运动区域。综合啮合误差为齿轮在制造和安装时不可避免的产生实际位置和理想位置的偏差，，这种偏差对齿轮系统是有害的应尽量避免。综合考虑系统的周期运动状态、最大动载荷和齿轮副间的冲击状态，本文得出了在一定参数下系统的理论最佳工作范围，并给出了啮合刚度、阻尼以及齿侧间隙的最优选取方案和区间，为齿轮的动态设计提供了理论基础。
[Abstract]:Mechanical transmission gear transmission is one of the most widely used. Because of the backlash, time-varying mesh stiffness, gear error and damping factors, which leads to dynamic behavior of gear transmission system has rich nonlinear characteristics of planetary gear transmission. Compared with ordinary gear transmission, have a high power weight ratio and more than the drive, but because of its complex structure, also has more vibration and noise problems.
In this paper, the two stage gear transmission system and pull Wella compound planetary gear transmission system as the object, considering the main factors affecting the gear transmission system, a nonlinear dynamics model was established in two stage gear transmission system and pull Wella type compound planetary gear transmission system, and has carried on the numerical simulation, the bifurcation diagram of the system the model, the maximum Lyapunov index, the maximum dynamic load impact diagram, state diagram, phase diagram, time response diagram, dynamic load response and FFT diagram.
Based on the numerical simulation results, combined with the nonlinear theory, the vibration characteristics of the bifurcation characteristics respectively under different parameters of the system and in the time domain and frequency domain research, analysis the influence of parameters on the vibration characteristics of the system and the relationship between the parameters selection and optimization interval. The results show that with the change of system frequency will show a rich dynamic behavior, because of backlash nonlinear factors, the system also appeared in the "dynamic behavior characteristic of jump" and "crisis" of nonlinear systems, and "jump" and "crisis" was caused mainly by the change of dynamic load of the gear pair, some time will cause changes the impact of the state. The load increases, the system will tend to periodic motion, chaotic control from the point of view, the appropriate increase of load can be effectively controlled The occurrence of chaotic motions. The main factors of nonlinear time-varying meshing stiffness and damping effect of the system is, in a certain parameter range greater stiffness, the damping is small, the system is prone to chaos, and chaotic motion is harmful in the actual mechanical system, so the dynamic design of gear system to to avoid the chaotic motion area. Meshing error is deviation from the actual position and the ideal position in gear manufacturing and installation is inevitable, the deviation of the gear system is harmful should be avoided. The periodic motion state of the system considering the maximum dynamic impact load and gear pairs, in the certain parameters under the system of the theory of optimum working range, and gives the meshing stiffness, damping and the optimal clearance method and interval, provides a theoretical basis for the dynamic design of the gear.

【学位授予单位】：兰州交通大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：O322;TH132.41

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