圆柱齿轮传动非线性动力学键合图建模研究

发布时间：2018-05-30 05:23

本文选题：键合图 + 齿轮传动　；参考：《中南大学》2011年硕士论文

【摘要】：键合图方法提供了一种统一处理多种能量范畴的工程系统的动态分析方法,可以用来模拟多输入、多输出系统,线性和非线性系统,键合图中的状态变量均为物理变量,可深入地描述系统内部状态的变化过程。但是键合图法的不足是对机械系统中的非线性参数,如摩擦、间隙等因素建模时不是很方便。针对键合图建模方法的不足,本文的主要工作包括： (1)通过对摩擦力运动特性的分析,引入功率结型结构,建立了能够全面反映摩擦力动态特性的通用键合图模型,该模型不仅能够反映摩擦力在静摩擦状态和动摩擦状态下的运动特性,而且还可以反映摩擦力的耗能特性。 (2)对典型的间隙接触动力学进行了分析,根据相对位移与间隙的关系,把接触力划分为三个状态,建立了间隙接触的通用键合图模型,采用20-sim仿真软件对所建立的模型进行了仿真分析,仿真结果与实际情况相符,验证了模型的正确性。 (3)以齿轮系统为研究对象,分别建立了齿面摩擦的键合图模型、间隙和时变刚度的键合图模型以及静态传递误差的键合图模型,在此基础上,建立了包含齿面摩擦、间隙、时变刚度和静态传递误差等非线性因素的齿轮传动系统非线性键合图模型,并运用20-sim和Matlab仿真软件对模型进行了对比仿真研究,结果验证了模型的正确性。 (4)采用实验的方法测到了一对实验齿轮的静态传递误差和动态传递误差曲线,并将动态传递误差与采用本文建立的齿轮键合图模型计算得到的传递误差曲线进行了对比,两者的啮合频率基本一致,但是幅值有一定的误差,基本验证了本文建立的齿轮系统键合图模型的正确性。
[Abstract]:The bond graph method provides a unified dynamic analysis method for engineering systems with multiple energy categories. It can be used to simulate multi-input, multi-output, linear and nonlinear systems, and the state variables in the bond graph are all physical variables. The internal state of the system can be described in depth. But the disadvantage of bond graph method is that it is not very convenient to model the nonlinear parameters such as friction and clearance in mechanical system. Aiming at the deficiency of bond graph modeling method, the main work of this paper includes: 1) by analyzing the movement characteristics of friction force and introducing the structure of power junction, a general bond graph model which can fully reflect the dynamic characteristics of friction force is established. The model can not only reflect the motion characteristics of friction under static and dynamic friction, but also reflect the energy dissipation characteristics of friction. Based on the relation between relative displacement and clearance, the contact force is divided into three states, and a general bond graph model of gap contact is established. The 20-sim simulation software is used to simulate and analyze the established model. The simulation results are consistent with the actual situation, and the correctness of the model is verified. Taking gear system as the research object, the bond graph model of tooth surface friction, the bond graph model of clearance and time-varying stiffness, and the bond graph model of static transfer error are established respectively. On this basis, the tooth surface friction and clearance are established. The nonlinear bond graph model of gear transmission system with nonlinear factors such as time-varying stiffness and static transfer error is studied and compared with the simulation software 20-sim and Matlab. The results show that the model is correct. 4) the static and dynamic transfer error curves of a pair of experimental gears are measured by means of experiments, and the dynamic transfer errors are compared with the transfer error curves calculated by using the gear bond graph model established in this paper. The meshing frequency of the two is basically the same, but the amplitude has some error, which basically verifies the correctness of the bond graph model of the gear system established in this paper.
【学位授予单位】：中南大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.41

【参考文献】