对称轮轨系统的“合成分岔图”法

THE "RESULTANT BIFURCATION DIAGRAM" METHOD FOR SYMMETRIC WHEEL-RAIL SYSTEM

定义对称轮轨系统对称性分岔的概念,由数值积分得到系统的时间响应并建立对称轮轨系统的离散动态Poincare映射截面及其对称截面,提出"合成分岔图"的构造方法,应用该方法对一两轴转向架系统运行与理想平直轨道上的对称/不对称分岔行为和混沌运动进行分析.在研究速度范围内,发现系统存在大量的对称运动形式,也存在很多的不对称运动形式,系统的对称性刚开始是通过不可捉摸突变而破坏的.

The concept of symmetric bifurcation for sponse can be achieved by the numerical integration symmetric wheel-rail system was defined. Thus, the time remethod, and an unfixed and dynamic Poincare section and its symmetric section for symmetric wheel-rail system were established. Then the ＂resultant bifurcation diagram＂ method was constructed. The method was used to study the symmetric/asymmetric bifurcation behaviors and chaotic motions of a two-axle railway bogie running on an ideal straight and perfect track. The results indicate that a lot of symmetric motions and plenty of asymmetric motions exist in the symmetric railway bogie system within the investigated speed range. In addition, the rule of symmetry breaking in the system is through a blue sky catastrophe in the beginning.