冲击消振器的概周期碰振运动分析

建立了冲击消振器对称周期运动的Poincar啨映射方程 ,讨论了对称周期运动的稳定性与局部分岔。通过数值仿真研究了冲击消振器在非共振、弱共振和强共振条件下的概周期碰振运动及其向混沌的转迁过程。

Analyses of quasi-periodic impact motions of an impact damper

For an impact damper, its period one double impact symmetrical motion and Poincar map are established analytically, and the stability and local bifurcations of the fixed point of period one double impact symmetrical motion are analyzed. Quasi periodic impact motions of the impact damper, in non resonance, weak resonance and strong resonance cases, respectively, are discussed, and the routes from quasi periodic impacts to chaos are studied by numerical simulations. It is shown that subharmonic bifurcations associated with period one double impact symmetrical motions, in the strong resonance case, can exist in the impact damper, and period doubling bifurcation of the subharmonic motion will occur with decreasing of the forced frequency, but there is no period doubling cascade due to the occurrence of Hopf bifurcation in period four eight impact motion.