基于分数阶磁流变液阻尼器模型的车辆悬架组合控制  

COMBINED CONTROL OF VEHICLE SUSPENSION WITH FRACTIONAL-ORDER MAGNETORHEOLOGICAL FLUID DAMPER MODEL

作　　者：张文静 牛江川 申永军[1,2] 温少芳 Zhang Wenjing;Niu Jiangchuan;Shen Yongjun;Wen Shaofang(School of Mechanical Engineering,Shijiazhuang Tiedao University,Shijiazhuang 050043,China;State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures,Shijiazhuang Tiedao University,Shijiazhuang 050043,China)

机构地区：[1]石家庄铁道大学机械工程学院,石家庄050043 [2]石家庄铁道大学省部共建交通工程结构力学行为与系统安全国家重点实验室,石家庄050043

出　　处：《力学学报》2021年第7期2037-2046,共10页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(11872254,U1934201,12072206);河北省自然科学基金(A2021210012)资助项目。

摘　　要：磁流变液阻尼器的分数阶Bingham模型结构形式简单,而且可以更好地描述系统的滞回特性.建立了含有分数阶Bingham模型的单自由度1/4车辆悬架系统模型,利用磁流变液阻尼器对在路面简谐激励下的非线性车辆悬架系统进行振动控制.研究了含有分数阶Bingham模型的悬架系统在天棚阻尼半主动控制下的主共振响应,利用平均法得到了系统的近似解析解.求解了系统定常解的幅频响应方程,并根据李雅普诺夫稳定性理论得到了悬架系统的稳定性条件.通过绘制数值解和解析解的幅频响应曲线对比图,验证了近似解析解的正确性.利用簧载质量垂直方向的加速度均方根值分析了半主动控制对车辆乘坐舒适性的影响,发现天棚阻尼半主动控制策略在低频激励区域反而会降低车辆的乘坐舒适性.因此提出了一种被动控制与半主动控制相结合的组合控制策略,并分析了半主动控制参数对振动控制效果的影响.分析结果表明,该组合控制策略不但能够提高车辆的乘坐舒适性,而且能有效抑制悬架系统的主共振振动幅值.The fractional-order Bingham model of magnetorheological fluid damper has simple structure and can better describe the hysteretic characteristics of the system.The vibration control of a nonlinear vehicle suspension system with magnetorheological fluid damper under harmonic excitation is studied,where the single-degree-of-freedom 1/4 vehicle suspension system with fractional-order Bingham model of magnetorheological fluid damper is considered.The primary resonance response of suspension system with fractional-order Bingham model under sky-hook damping semi-active control is analyzed,and the approximate analytical solution is obtained by means of averaging method.The amplitude-frequency response equation of the steady-state solution of the suspension system is obtained,and the stability condition of the suspension system is also obtained according to Lyapunov’s stability theory.By comparing the amplitude-frequency response curves of the numerical solution and approximate analytical solution,the accuracy of the approximate analytical solution has been verified.The influence of semi-active control on the ride comfort of the vehicle is illustrated by the root mean square values of acceleration of the sprung mass in the vertical direction,it is found that the semi-active control strategy of sky-hook damping can not improve the ride comfort of vehicle in low frequency excitation region of road.Therefore,a combined control strategy of passive control and semi-active control is proposed,and the influence of semi-active control parameter on the vibration control effect is analyzed.The results show that the combined control strategy can not only improve the ride comfort of the vehicle,but also effectively suppress the primary resonance vibration amplitude of suspension system.

关 键 词：非线性车辆悬架 分数阶Bingham模型 主共振 平均法 组合控制 

分 类 号：O322[理学—一般力学与力学基础] O328[理学—力学]