含摩擦力的行星齿轮传动系统非线性动力学模型  

Study on nonlinear dynamic model of planetary gear train sets with friction force

作　　者：朱恩涌[1] 巫世晶[1] 王晓笋[1] 邓明星[2] 潜波[3] 

机构地区：[1]武汉大学动力与机械学院,武汉430072 [2]武汉科技大学,武汉430081 [3]中国北方车辆研究所车辆传动国家重点实验室,北京100072

出　　处：《振动与冲击》2010年第8期217-220,236,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(50875189);武汉大学优秀博士学位论文培育基金资助项目;车辆传动国家重点实验室基金项目(9140C340101101)

摘　　要：建立了一种考虑摩擦力、时变啮合刚度、齿侧间隙和综合啮合误差的2K-H型行星齿轮平移-扭转耦合非线性动力学模型。分析计算了啮合齿对间的相对位移,根据啮合区啮合齿对数不断变化的特点,推导出不同啮合齿对间摩擦力力臂计算公式,考虑了双齿啮合区的齿面摩擦力对齿轮系统振动的影响,推导了系统多间隙,变参数和多自由度的动力学微分方程组。最后运用变步长Gill积分法求解系统多自由度间隙型非线性微分方程组,得到了考虑滑动摩擦力影响时系统的振动响应。A nonlinear dynamic model of 2K-H type of planetary gear train was developed.The model takes into account the sliding friction force,time-varying mesh stiffness,gear mesh errors as well as gear backlashes.Relative displacements between meshing components were derived to analysis realistic mesh force.Arms of friction force of different meshing gear pairs were deduced in consideration of the number of meshing gear pairs regularly varying in meshing zone.The effect of friction force in contact zones for two tooth pairs meshing was considered.A dynamic model of translation-torsion coupling vibration of planetary gear train was built applying Newton's second law.Non-linear differential equations of system with multi degrees of freedom were solved by variable step-size Gill integration method.System responses considering the effect of sliding friction force were calculated.

关 键 词：行星齿轮 摩擦力 非线性动力学模型 时变啮合刚度 齿侧间隙 

分 类 号：TH132.4[机械工程—机械制造及自动化]