随机扰动和摩擦下的斜齿轮系统动态特性分析  

Dynamic Characteristics Analysis of Helical Gear System Under Stochastic Disturbance and Friction

作　　者：刘炀[1] 王结鑫 崔熙 LIU Yang;WANG Jie-xin;CUI Xi(School of Mechanical Engineering,Hefei University of Technology,Anhui Hefei 230009,China)

机构地区：[1]合肥工业大学机械工程学院,安徽合肥230009

出　　处：《机械设计与制造》2024年第6期379-384,共6页Machinery Design & Manufacture

摘　　要：建立考虑随机扰动和摩擦的8自由度单级斜齿轮传动模型,根据齿轮啮合原理,求解系统所受的摩擦力和摩擦力臂,利用龙格库塔法对微分方程进行求解,结合啮合频率的分岔图、时间历程图和庞加莱映射图等。分析在含摩擦和随机扰动啮合频率作用下系统的动态特性。研究得到,随着啮合频率的增加,系统由周期运动进入混沌运动,摩擦因数不会改变系统的分岔特性,但是会影响混沌区域附近的倍周期现象,随机扰动啮合频率会改变系统分岔特性,使系统提前进入混沌。An 8-DOF single-stage helical gear transmission model considering random disturbance and friction was established.According to the gear meshing principle,the frictional force and force arm of the system were solved.The differential equations were solved by Runge-Kutta method,and the bifurcations,time history and Poincare maps of meshing frequency were combined.The dynamic characteristics of the system under the action of friction and random disturbance meshing frequency are analyzed.The results show that with the increase of meshing frequency,the system moves from periodic motion to chaotic motion.The friction coefficient does not change the bifurcation characteristics of the system,but it will affect the period-doubling phenomenon near the chaotic region.The random disturbance meshing frequency will change the bifurcation characteristics of the system and make the system enter into chaos in advance.

关 键 词：摩擦 随机扰动 斜齿轮 分岔 啮合频率 

分 类 号：TH16[机械工程—机械制造及自动化] TH132.413[理学—一般力学与力学基础] O322[理学—力学]