合肥工业大学学报（自然科学版）
閤肥工業大學學報（自然科學版）
합비공업대학학보（자연과학판）
Journal of Hefei University of Technology (Natural Science)
2015年
9期
1165-1170
,共6页
随机激励%空气悬架%非线性%混沌%倍周期分岔
隨機激勵%空氣懸架%非線性%混沌%倍週期分岔
수궤격려%공기현가%비선성%혼돈%배주기분차
stochastic excitation%air suspension%nonlinearity%chaos%period doubling bifurcation
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、Poincaré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。
為瞭分析路麵不平度激勵幅值、激勵頻率、減振器阻尼繫數和非線性阻尼繫數對空氣懸架繫統髮生分岔和混沌的影響，文章以某客車為研究對象，攷慮阻尼非線性和空氣彈簧非線性建立單自由度1／4車體空氣懸架繫統模型，採用相軌跡圖、Poincaré映射圖、時間歷程圖、功率譜圖和Lyapunov指數驗證懸架繫統的運動狀態。數值倣真錶明：路麵不平度激勵幅值在0.036～0.100 m之間懸架繫統髮生分岔和混沌運動，激勵頻率在1.50～3.24 Hz之間髮生跳躍和分岔現象，阻尼繫數在0～300 N／（m · s－1）之間作混沌運動，非線性阻尼繫數的變化沒有引起分岔。即路麵不平度激勵幅值越大，汽車髮生混沌運動的可能性越大；減振器阻尼繫數越小，汽車越容易髮生混沌運動；非線性阻尼繫數對汽車髮生分岔和混沌的影響較小。
위료분석로면불평도격려폭치、격려빈솔、감진기조니계수화비선성조니계수대공기현가계통발생분차화혼돈적영향，문장이모객차위연구대상，고필조니비선성화공기탄황비선성건립단자유도1／4차체공기현가계통모형，채용상궤적도、Poincaré영사도、시간역정도、공솔보도화Lyapunov지수험증현가계통적운동상태。수치방진표명：로면불평도격려폭치재0.036～0.100 m지간현가계통발생분차화혼돈운동，격려빈솔재1.50～3.24 Hz지간발생도약화분차현상，조니계수재0～300 N／（m · s－1）지간작혼돈운동，비선성조니계수적변화몰유인기분차。즉로면불평도격려폭치월대，기차발생혼돈운동적가능성월대；감진기조니계수월소，기차월용역발생혼돈운동；비선성조니계수대기차발생분차화혼돈적영향교소。
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 ,Poincaré 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 .
