摘要
首先建立了一类三自由度碰振系统的理论模型,利用模态矩阵法推导出系统周期运动的周期解及系统在不动点处Poincaré映射的雅克比矩阵;再通过碰振系统的边界条件,分析系统周期运动的稳定性;最后通过MATLAB进行数值仿真,根据Poincaré截面图揭示了系统由分岔通向混沌的道路,为机械系统的优化设计提供了理论参考。
The model of a three-degree-of-freedom vibro-impact system is established,The periodic solution ofthe periodic motion and the Jacobian matrix of the Poincarémap at the fixed point are deduced by the modalmatrix method.Through analysis the boundary conditions of the system’s periodic motion,solves the systemperiodic motion by analytic solution.The numerical simulations reveals that the bifurcation route to chaos.
作者
高梦亭
GAO Mengting(School of Mechanical and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China)
出处
《机械》
2017年第7期24-26,61,共4页
Machinery
关键词
碰振系统
周期运动
分岔
混沌
vibro-impact
periodic motion
bifurcation
chaos
