摘要
对悬臂梁碰撞振动系统的动力学特性进行了分析,建立了系统的动力学方程并进行数值求解,分析了弹簧的弹性系数变化对系统动力学行为的影响,利用全局分岔图揭示了系统通向混沌的途径,并给出对应的时间历程图、庞加莱截面图和相图以分析系统的动力学特性。从分岔图上发现了跳跃现象,通过对时间历程图的分析发现该现象是由碰撞变化引起的。
The dynamic characteristics of the cantilever beam system with impacts are analyzed.The dynamical equation of this system is established and the numerical solution is carried out.The influence of the elastic coefficient of spring on dynamic behavior of the system is analyzed.The route to chaos is shown by global bifurcation diagram.The corresponding time history,poincare section and phase portrait are given to analyze the dynamic characteristics of the system.A phenomenon of jumping is found in the bifurcation diagram.It is found via the analysis of time history that the phenomenon is caused by the impact changes.
出处
《西安理工大学学报》
CAS
北大核心
2010年第4期459-463,共5页
Journal of Xi'an University of Technology
基金
陕西省教育厅科学研究计划基金资助项目(08JK403)
西安理工大学高学历人员科研启动基金资助项目(108-210805)
关键词
非光滑系统
悬臂梁
分岔
混沌
跳跃
nonsmooth system
cantilever beam
bifurcation
chaos
jumping
