Effect of nonlinear impact damping with non-integer compliance exponent on gear dynamic characteristics
来源期刊：中南大学学报(英文版)2014年第10期
论文作者：WU Li-juan(吴丽娟) TANG Jin-yuan(唐进元) CHEN Si-yu(陈思雨)
文章页码：3713 - 3721
Key words：spur cylindrical gear; nonlinear impact damping; backlash; non-integer compliance exponent
Abstract: 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.
WU Li-juan(吴丽娟), TANG Jin-yuan(唐进元), CHEN Si-yu(陈思雨)
(State Key Laboratory of High Performance Complex Manufacturing
(Central South University), Changsha 410083, China)
Abstract: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.
Key words:spur cylindrical gear; nonlinear impact damping; backlash; non-integer compliance exponent
