Effect of nonlinear impact damping with non-integer compliance exponent on gear dynamic characteristics  

作　　者：吴丽娟 唐进元 陈思雨 

机构地区：[1]State Key Laboratory of High Performance Complex Manufacturing(Central South University)

出　　处：《Journal of Central South University》2014年第10期3713-3721,共9页中南大学学报（英文版）

基　　金：Project(51275530)supported by the National Natural Science Foundation of China;Project(2011CB706800)supported by the National Basic Research Program of China;Project(2013zzts198)supported by the Fundamental Research Founds of Central South University,China

摘　　要：A nonlinear impact damping model of single-degree-of-freedom spur cylindrical gear with backlash and time-varying stiffness was established. Systematic analyses of the dynamic responses were performed. First, the nonlinear damping coefficient was considered as a constant parameter with two types of compliance exponent, meanwhile, dynamic factors were adopted to depict the dynamic characteristics. Second, the bifurcation graphs were plotted, where the damping coefficient was obtained along with the impact velocity and coefficient of restitution. The results show that light and heavy load conditions have an effect on the responses when the compliance exponent is integer. On the contrary, when the compliance exponent is non-integer, the dynamic responses are slightly affected, namely the system is more stable than the former situation.A nonlinear impact damping model of single-degree-of-freedom spur cylindrical gear with backlash and time-varying stiffness was established. Systematic analyses of the dynamic responses were performed. First, the nonlinear damping coefficient was considered as a constant parameter with two types of compliance exponent, meanwhile, dynamic factors were adopted to depict the dynamic characteristics. Second, the bifurcation graphs were plotted, where the damping coefficient was obtained along with the impact velocity and coefficient of restitution. The results show that light and heavy load conditions have an effect on the responses when the compliance exponent is integer. On the contrary, when the compliance exponent is non-integer, the dynamic responses are slightly affected, namely the system is more stable than the former situation.

关 键 词：spur cylindrical gear nonlinear impact damping backlash non-integer compliance exponent 

分 类 号：TH132.41[机械工程—机械制造及自动化]