负刚度和空气弹簧并联的悬架系统的亚谐共振  

Subharmonic Resonance of Suspension System with Negative Stiffness and Air Spring in Parallel

作　　者：曹计欢 牛江川 王军 Cao Jihuan;Niu Jiangchuan;Wang Jun(School of Mechanical Engineering,Shijiazhuang Tiedao University,Shijiazhuang 050043,China)

机构地区：[1]石家庄铁道大学机械工程学院,河北石家庄050043

出　　处：《石家庄铁道大学学报（自然科学版）》2020年第3期1-6,共6页Journal of Shijiazhuang Tiedao University(Natural Science Edition)

基　　金：国家自然科学基金(11872254,11802183);河北省自然科学基金(E2018210056)。

摘　　要：研究了负刚度和空气弹簧并联的单自由度悬架系统在简谐激励下的1/3次亚谐共振。利用平均法得到了系统的近似解析解,利用龙格库塔法得到了系统的数值解,通过对比近似解析解和数值解的幅频响应曲线,验证了近似解析解的准确性。分析了系统稳态解的存在条件和稳定性,并详细分析了负刚度、空气弹簧以及系统阻尼对系统1/3次亚谐共振幅频响应及存在条件的影响,为悬架系统的设计提供了一定的理论参考。The subharmonic resonance of a single-degree-of-freedom suspension system with negative stiffness and air spring in parallel was analyzed.The approximate analytical solution of the system under harmonic excitation was obtained by means of averaging method.The numerical solution of the system was obtained by Runge-Kutta method.The accuracy of the approximate analytical solution was verified by comparing with the numerical solution.The existence conditions and stability of steady-state solution of the system were analyzed.The effects of negative stiffness,air spring and damping on the 1/3 subharmonic resonance amplitude-frequency response and existing conditions of the system were analyzed in detail,which could provide a theoretical reference for the design of suspension system.

关 键 词：亚谐共振 平均法 负刚度 空气弹簧 

分 类 号：U461.1[机械工程—车辆工程]