齿轮系统的KV和NSD接触力模型对比研究  

Comparative study of Kelvin-Voigt and nonlinear spring and damping contact force models of gear system

作　　者：吴丽娟[1] 唐进元[1] 陈思雨[1] 

机构地区：[1]中南大学机电工程学院、高性能复杂制造国家重点实验室,湖南长沙410083

出　　处：《中南大学学报（自然科学版）》2014年第5期1443-1448,共6页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(51275530);国家重点基础研究发展规划(“973”计划)项目(2011CB706800);研究生自主探索创新基金资助项目(2013zzts198)

摘　　要：采用Kelvin-Voigt(KV)接触力模型和非线性弹簧-阻尼(NSD)接触力模型建立单自由度齿轮传动冲击动力学模型,模型考虑时变刚度和间隙。选取量纲一化的转速比为控制参数,转矩和冲击阻尼比系数为变化量,运用龙格-库塔数值分析方法,求解得到KV模型和NSD模型在相同参数条件下的相图和分岔响应曲线。在低速比条件下,动态响应基本相同;在高速比条件下,不同接触力模型条件下的响应存在差别。采用不同阻尼模型对系统低频响应影响不大,对高频响应的影响比较大,在NSD模型中,随着冲击阻尼系数的改变,共振区的响应会受到影响。The single-degree-of-freedom gear dynamic transmission system with time-varying stiffness and backlash was established adopting two different contact force models, Kelvin-Voigt（KV） contact force model and nonlinear spring and damping（NSD） contact force model. The dimensionless velocity was regarded as the controlling parameter, the Runge-Kutta numerical integration of the differential equations was carried out at different torque values and impact damping ratio conditions. The bifurcation graphs and phase graphs were deduced. At low frequency, the dynamic responses are similar. However, the dynamic responses are different at high frequency. The dynamic responses are affected with the increase of impact damping ratio in the Nonlinear spring and damping contact force model.

关 键 词：齿轮传动系统 接触力模型 冲击 非线性响应 

分 类 号：TH113.1[机械工程—机械设计及理论]