拖曳刚性轮的孤立大振幅周期运动
Isolated large amplitude periodic motions of towed rigid wheels
摘要：
本研究探讨低自由度（DoF）的摆振轮的力学模型。利用分歧理论和数值延拓方法对模型进行了研究。自激振动，即稳定和不稳定的周期性运动的车轮，检测的帮助下的霍普夫分岔计算。然后通过软件包AUTO97在不同阻尼值的大参数范围内跟踪这些振荡。对于某些参数区域，代表大振幅稳定和不稳定周期运动的分支在孤立点诞生后变得孤立。从工程角度来看，如果在设计阶段没有识别和避免这些区域，则这些区域是极其危险的。
英文摘要：
This study investigates a low degree-of-freedom (DoF) mechanical model of shimmying wheels. The model is studied using bifurcation theory and numerical continuation. Self-excited vibrations, that is, stable and unstable periodic motions of the wheel, are detected with the help of Hopf bifurcation calculations. These oscillations are then followed over a large parameter range for different damping values by means of the software package AUTO97. For certain parameter regions, the branches representing large amplitude stable and unstable periodic motions become isolated following an isola birth. These regions are extremely dangerous from an engineering view-point if they are not identified and avoided at the design stage.
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