含减震器的振动冲击机械系统动力学研究  

Study on Dynamics of Vibration Shock Mechanical System with Shock Absorber

作　　者：陈昕 李万祥[1] 何进宝 CHEN Xin;LI Wanxiang;HE Jinbao(School of Mechanical and Electrical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院,甘肃兰州730070

出　　处：《机械制造与自动化》2025年第1期20-23,共4页Machine Building & Automation

摘　　要：以含减震器的振动冲击系统为研究对象,建立振动模型。采用4阶Runge-Kutta法求解了运动方程,通过Matlab仿真得到系统的分岔图和Poincaré映射,研究系统在频率变化时由倍周期分岔和hopf分岔转迁为混沌运动的路径以及减震器参数对其系统动力学行为的影响。结果表明:参数改变时系统具有分岔、概周期和混沌等复杂动力学行为,非线性减震器刚度增大时,分岔图混沌区域增大。Vibration shock system with shock absorber is studied to establish the vibration model.The Runge-Kutta method is applied to solve the equations of motion,Matlab simulation is conducted to obtain the bifurcation diagram and Poincare map of the system and the path from periodic bifurcation and hopf bifurcation to chaotic motion and the influence of the shock absorber parameters on the dynamical behavior of the system is studied.The results show that the system has complex dynamics such as bifurcation,general period and chaos when parameter changes,and bifurcation diagram chaotic region increases with the increase of nonlinear shock absorber stiffness.

关 键 词：含间隙系统 POINCARÉ映射 振动冲击 分岔 混沌 减振 

分 类 号：TH113.1[机械工程—机械设计及理论]