偏心摆轮振动的分岔和混沌特性

Character of Bifurcation and Chaos of the Oscillation of the Eccentric Balance Wheel

设计了一个受周期驱动力作用的偏心摆轮振动模型,建立了该模型的运动学方程,运用线性稳定性分析的方法确定了其平衡点且分析了平衡点的稳定性。利用计算机数值计算且结合多种分析方法得出:周期驱动力作用下的偏心摆轮振动存在由倍周期分岔通向混沌运动的特性。

An oscillation device of eccentric balance wheel which is driven by periodic impetus is designed. The dynamical equation of the device is proposed. By the method of analyzing the linear stability of the system, the equilibrium points are obtained and their stability analyzed. By means of computer numerical calculation and other ways, it is shown that the oscillation of the eccentric balance wheel can achieve the chaotic movement by way of bifurcation.