对称轮轨系统的“合成分岔图”法  

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

作　　者：高学军[1] 李映辉[2] 乐源[2] 

机构地区：[1]成都理工大学环境与土木工程学院,成都610059 [2]西南交通大学力学与工程学院,成都610031

出　　处：《动力学与控制学报》2012年第3期244-251,共8页Journal of Dynamics and Control

基　　金：国家自然科学基金项目(11072204;11102030;10902092);成都理工大学高层次人才科研启动项目(HK0034)资助~~

摘　　要：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.

关 键 词：轮轨系统 “合成分岔图” 对称/不对称 分岔 

分 类 号：U211.5[交通运输工程—道路与铁道工程]