1.School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China;2. Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou 451191, China;3. Hirain technologies, Beijing 100101, China
Abstract:Abstract: Based on Lagrange equations, dynamic model of Internal Parallel Moving Gear Transmission mechanism with two parallel moving gears distributed symmetrically was established. Through analysis of relative displacement meshing function and dimensionless dispose, the 6 degrees of freedom dimensionless differential equation of the system could be gotten. And through analysis of the impacts to systematic dynamical characters caused by asymmetrical factors, such as asymmetry of axial (steady) bearings, asymmetry of meshing clearances or asymmetry of loads of two parallel moving gears, it indicated that all three types of asymmetrical factors will result in bifurcation of the system. Besides, different asymmetrical factors will lead to different distributed laws of the chaos area and different characteristics of periodic solutions.