中文摘要：

根据牛顿定律建立单级单自由度直齿齿轮传动系统的动力学方程，利用系统的分岔图、相图、时间历程图和Poincar~映射图分析齿轮传动系统在齿轮时变啮合阻尼变化下的分岔特性。通过对齿轮传动系统增加一个线性反馈控制器，利用它控制系统从混沌运动转化为稳定的周期运动。数值仿真表明随着齿轮时变啮合阻尼的增大，齿轮传动系统从混沌运动通过逆倍化分岔通向周期运动。线性控制方法在齿轮传动系统的混沌控制中是有效的和可行的，可利用适当的控制参数镇定系统中不稳定的周期轨道。

英文摘要：

The dynamical equation and state equation of gear transmission system are established according to New- ton＇s principle. The complex dynamics characters of gear transmission system are studied. The bifurcation charac- teristic of nonlinear system is studied by the bifurcation diagram, phase portrait, time course diagram and Poincar6 map. The method to control chaos by linear feedback controller is developed to guide chaotic motions towards regu- lar motions. Numerical simulation shows that with the increasing of gear pair meshing damping, gear transmission system will be from chaotic motions to the periodic motions by inverse doubling bifurcation, the effectiveness and feasibility of strategy to get rid of chaos by stabilizing the related unstable periodic orbit.