随机激励下非线性空气悬架系统的混沌振动分析  

Analysis of chaotic vibration of nonlinear air suspension system under stochastic excitation

作　　者：王靖岳[1] 王浩天[2] 郭立新[3] 

机构地区：[1]沈阳理工大学汽车与交通学院,辽宁沈阳110159 [2]沈阳航空航天大学自动化学院,辽宁沈阳110136 [3]东北大学机械工程与自动化学院,辽宁沈阳110819

出　　处：《合肥工业大学学报（自然科学版）》2015年第9期1165-1170,共6页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(51275082);辽宁省教育厅科技研究资助项目(L2012068);沈阳理工大学机械设计及理论重点学科开放基金资助项目(4771004kfx08)

摘　　要：为了分析路面不平度激励幅值、激励频率、减振器阻尼系数和非线性阻尼系数对空气悬架系统发生分岔和混沌的影响，文章以某客车为研究对象，考虑阻尼非线性和空气弹簧非线性建立单自由度1／4车体空气悬架系统模型，采用相轨迹图、Poincar＆233;映射图、时间历程图、功率谱图和Lyapunov指数验证悬架系统的运动状态。数值仿真表明：路面不平度激励幅值在0.036～0.100 m之间悬架系统发生分岔和混沌运动，激励频率在1.50～3.24 Hz之间发生跳跃和分岔现象，阻尼系数在0～300 N／（m · s－1）之间作混沌运动，非线性阻尼系数的变化没有引起分岔。即路面不平度激励幅值越大，汽车发生混沌运动的可能性越大；减振器阻尼系数越小，汽车越容易发生混沌运动；非线性阻尼系数对汽车发生分岔和混沌的影响较小。In order to analyze the effect of the road irregularity excitation amplitude ,the excitation fre‐quency ,the shock absorber damping coefficient and nonlinear damping coefficient on the bifurcation and chaos of the air suspension system ,a one‐degree‐of‐freedom model of 1/4 vehicle air suspension system is established by taking a bus as study object and considering damping nonlinearity and air spring nonlinearity .The motion state of the system is verified by phase diagram ,Poincar＆233; map ,time history diagram ,spectrum diagram and Lyapunov index .The numerical simulation results show that the system is prone to bifurcation and chaos with road irregularity excitation amplitude in the range of 0.036~0.100 m ;chaos with damping coefficient between 0 and 300 N/（m · s-1 ）;the system shows jumping phenomenon and bifurcation with the excitation frequency in the range of 1.50‐3.24 Hz .The change of nonlinear damping coefficient does not cause bifurcation .The greater the road irregularity excitation amplitude ,the greater the car has the chance of chaotic motion .The smaller the shock ab‐sorber damping coefficient ,the more the system is prone to chaotic motion .The nonlinear damping coefficient has little effect on the bifurcation and chaos of the car .

关 键 词：随机激励 空气悬架 非线性 混沌 倍周期分岔 

分 类 号：U463.33[机械工程—车辆工程] O322[交通运输工程—载运工具运用工程]