摘要
综合考虑时变啮合刚度、啮合阻尼、齿侧间隙、啮合误差等因素,建立了两自由度直齿轮副非线性动力学模型.用4阶变步长Runge-Kutta算法对微分方程进行了数值求解,统计了迭代过程中轮齿啮合状态比例,研究了转速和扭矩对动态传递误差的影响.研究表明:随着转速增加,轮齿啮合状态发生变化,解释了动态传递误差的周期、混沌响应和误差幅值跳跃现象;随着扭矩的增大,出现跳跃现象的转速增加,幅值变化也增大,但轮齿冲击减少.
A nonlinear two-degree-of-freedom dynamics model for a spur gear pair system is developed by considering the time-varying stiffness, mesh damping, backlash and transmission error. The differential equations were solved by the fourth-order variable step size Runge-Kutta algorithm. The statistics of the proportion of tooth contact states in the iterative process were acquired, and the impact of the rotational speed and torque on dynamic transmission error was studied. It shown that the tooth mesh condition changes with the increase of rotational speed, which explains the cycle and chaos response of the dynamic transmission error and the error amplitude jump phenomena. With the increase of torque ,jumping phenomenon of the rotational speed increased, the changes of amplitude also increased, but the tooth impact reduced.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2014年第3期397-401,共5页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目(51135003
U1234208)
长江学者和创新团队发展计划项目(IRT0816)
"高档数控机床与基础制造装备"科技重大专项(2013ZX04011011)
关键词
齿轮动力学
轮齿啮合状态
动态传递误差
转速
扭矩
gear dynamics
tooth contact state
dynamic transmission error
rotational speed
torque
