多齿轮并联驱动系统动力稳定性  

Dynamic stability of a gear pair system actuated with multiple pinions

作　　者：余海东[1] 赵春璋[1] 赵勇[1] 李建军[1] 

机构地区：[1]上海交通大学上海市复杂薄板结构数字化制造重点实验室上海200240

出　　处：《中国科技论文》2012年第8期594-597,602,共5页China Sciencepaper

基　　金：高等学校博士点学科点专项科研基金资助项目(200802481113);国家自然科学基金资助项目(50905108)

摘　　要：基于矩形时变啮合刚度假设,建立了齿轮并联驱动机械系统扭转振动动力学模型。在此基础上,给出其状态空间方程。利用Floquet理论定义了系统的稳定性判别方法。基于数值仿真的方法,研究了双齿轮驱动和三齿轮驱动两种情形下不同啮合刚度、啮合相位差及齿轮参数配置与多齿轮驱动并联驱动系统稳定性之间的关系。结果表明选择合适的参数可以有效地降低系统的不稳定性区域,提高系统的稳定性。A torsional vibration dynamic model is established for a multi-pinion parallel Waksmission system in temls of rectangle time-varing meshing stiffness. Then the state-space equatiom of the dynamic model are deduced. The mettaod of recognizing the system stability is proposed based on the Floquet thoery. The effects of contact ratio, mesh stiffness change, phase difference and gear configurations on the stability of the gear pair system actuated by two and flxee pinions are discussed using a numerical simulation method. The results show that the stability conditions can be improved when suitable parameters are choosed in the meching gear pair actuated by multiple pinions.

关 键 词：齿轮 动力学分析 系统稳定性 刚度 啮合角 

分 类 号：TH132.41[机械工程—机械制造及自动化]