滞后非线性车辆悬架系统多频激励下的安全与复杂性分析  

COMPLEXITY AND SAFETY STUDY ON VEHICLE SUSPENSION SYSTEM WITH HYSTERETIC NONLINEARITY CHARACTERISTIC UNDER MULTI-FREQUENCY EXCITATION

作　　者：于威威[1] 管克英[1] 郭璇[2] 

机构地区：[1]北京交通大学理学院,北京100044 [2]北京交通大学土木建筑学院,北京100044

出　　处：《工程力学》2007年第12期175-180,共6页Engineering Mechanics

摘　　要：结合顺行平面Hamilton系统周期-能量关系和KAM理论,研究滞后非线性单自由度1/4车辆悬架系统多频激励下的受扰振动问题,给出两种初值条件下系统受扰固有周期运动的理论解析,证明了系统存在安全的拟周期状态。借助Melnikov函数讨论了系统产生混沌的可能性及成因,分别对系统拟周期及混沌状态进行了数值模拟。为悬架系统的参数识别、稳定区域分析及优化设计提供理论依据。The forced vibration characteristic of a single Degree of freedom 1/4 hysteretic nonlinearity vehicle suspension system under multi-frequency excitation is studied by the period-energy relationship of direct two-dimensional Hamilton system and KAM theory. The theoretical analysis for eigenperiod of forced kinetic system is discussed in two initial conditions. The existence of safe quasi-period state is proven. The possibility and cause of chaos are analyzed through the Melnikov function. Numerical simulations are given separately for quasi-period and chaos state discussion, The results may supply theoretical bases for parameter recognition of the analysis and optimal design of stabilized region of vehicle suspension systems.

关 键 词：滞后非线性车辆悬架系统 安全与复杂性分析 周期-能量关系 KAM理论 MELNIKOV函数 

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