摘要
建立包含时变刚度和齿侧间隙的单对齿轮系统振动模型,推导综合考虑时变刚度、齿侧间隙、传递误差等非线性因素的振动微分方程。运用四阶Runge-Kutta方法计算系统在无冲击、单边冲击和双边冲击状态下,系统参数、载荷参数对系统振幅及稳定性的影响。数值仿真表明:考虑时变刚度、齿侧间隙等非线性因素时齿轮系统具有复杂的振动特性。
Time-varying stiffness and tooth backlash vibration model is set up and the vibration differential equations are deduced via comprehensively taking time-varying stiffness,tooth backlash and dynamic transmission error nonlinear factor into consideration.Non-impact,single-impact and double-impact are numerically simulated by fourth-order Runge-Kutta method.The effects of system parameters and load parameters on the system of the amplitude and vibration stability are calculated.The simulation results show that: gear system exhibits complex vibration behaviors in considering time-varying stiffness and tooth backlash non-linear factors.
出处
《西安理工大学学报》
CAS
北大核心
2010年第1期61-65,共5页
Journal of Xi'an University of Technology
基金
陕西省13115科技创新工程重大科技专项资助项目(2008ZDKG-28)
西安市2008年科学技术计划资助项目(CXY08022)
关键词
时变刚度
间隙
非线性
齿轮系统
time-varying stiffness
tooth backlash
non-linear
gear system