摘要
在考虑齿轮时变啮合刚度、阻尼、转矩波动及齿侧间隙的情况下,建立了具有5自由度的二级齿轮传动系统的动力学模型。为了便于用算法分解算法求解,用多项式拟合齿侧间隙,而将啮合刚度、输入及输出转矩波动用Fourier级数表示。利用Adomian分解算法的思想,用AOM得到了系统对转矩激励的动力学响应。仿真结果表明,在某些转速区段,转矩激励会导致强烈振动;在低速齿轮对中,可能同时伴随脱齿现象,并导致较大的动载荷。
Considering the time-varying meshing stiffness, damping, torque fluctuation and backlash of the gear pairs, the dynamic governing equations of a two-staged gear system with 5 degree of freedom are established. The backlash of the gear pair is expressed into multinomial, and the meshing stiffness, input and output torque fluctuation are expand into Fourier series. By adopting the thought of Adomian's decomposition method, the A-operator method (AOM) is used to obtain the response of the gear system on torque fluctuation. According to the simulation results, the torque fluctuation can cause the stronger vibration within some speed range, at same time, the separation phenomenon of lower speed gear pair takes place and higher dynamic loads are caused.
出处
《机械传动》
CSCD
北大核心
2006年第6期9-11,21,共4页
Journal of Mechanical Transmission
基金
上海市高等学校科学技术发展基金资助项目(课题编号:04OB03)
陕西省自然科学基金资助项目(课题编号:2003E202)