摘要
迄今，未有文献详细研究复杂齿轮系统在强非线性因素激励下的混沌与分岔性态。建 立了星形齿轮传动的间隙型非线性动力学模型并用数值解法进行了求解。研究了系统在改变 激振频率或者齿轮副啮合阻尼比时产生的各类分岔以及通向混沌的途径。利用Ｐｏｉｎｃａｒé映 射和分岔图详细描述了系统在倍周期分岔和拟周期分岔道路上吸引子由规则运动到混沌运动 的演化过程。发现了因变化阻尼比引起的周期倍化道路上存在的吸引子突变现象。从而首次 从理论上揭示了星形齿轮系统非线性动力学行为的复杂性态。
： Up to now, there are no literatures including the reports on the bifurc ation and chaos of the complex gearing system with the clearance-type no n-lineari ty The nonlinear dynamic model of star gear system is established and a numerical method to solve the governed differential equations is developed Two typical routes to chaos by period-doubling route or quasi-periodic route with changing either meshing damping ratio or frequency of excitation are studie d and discussed The evolutions of system dynamic responses are demonstrated in detai l by Poincaré maps when the system undergoes a sequence of period-doubling or q uasi-periodic bifurcations to chaos The jump discontinuity is observed on the condition of the occurrence of period-doubling routes to chaos by changing dampi ng ratio The complicated nonlinear dynamic behaviors of star gear system are t heoretically analyzed for the first time
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2001年第12期11-15,共5页
Journal of Mechanical Engineering
基金
国家自然科学基金资助项目(50075070)
