摘要
在考虑齿轮时变啮合刚度、阻尼、齿轮误差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、齿轮综合误差用Fourier级数表示。利用Adomian分解算法的思想,用AOM得到了系统对齿轮啮合误差激励的动力学响应。仿真结果表明,在研究的转速范围内,齿面误差激励会导致强烈振动;在低速齿轮对中,可能同时伴随脱齿对象,并导致较大的动载荷。当脱啮现象发生时,响应频谱变得复杂起来,并导致系统产生准周期运动。
Considering the time-varying meshing stillness, damping, teeth errors and backlash of the gear pairs, the dynamic governing equations of a two-staged gear system with 5 degree of freedom are established. The basklash of the gear pair is expressed into muhinomial, and the meshing stiffness, teeth errors are expanded into Fourier series. By adopting the thought of Adomian＇s decomposition algorithm, the A-operator method （AOM） is used to obtain the response of the gear system on teeth errors, According to the simulation results, the teeth errors can cause the stronger vibration within the researched speed range, at the same time, the separation phenomenon of lower speed gear pair takes place and higher dynamic loads are caused. When the separation phenomenon appears, the frequency spectrum is complex, and quasi-periodic motion may be happened.
出处
《机械设计与研究》
CSCD
北大核心
2006年第4期49-52,共4页
Machine Design And Research
基金
上海市高等学校科学技术发展基金资助项目(04OB03)
陕西省自然科学基金资助项目(2003E202)
