摘要
铁道车辆中采用了大量橡胶元件,这些橡胶元件大都具有频变、幅变等非线性特性,也会出现超谐共振、亚谐共振等非线性系统特有的现象。传统的车辆动力学计算未对其非线性因素加以考虑。文章采用三次多项式对某型号沙漏橡胶弹簧刚度特性曲线进行了拟合,采用多尺度法分析了其二自由度车辆模型的主共振,以及单自由度模型的亚谐共振,分析结果表明非线性模型中会出现跳跃现象,增加阻尼或减小非线性刚度可以阻止亚谐共振的发生。
A large number of rubber elements are used in railway vehicles.Most of these rubber elements have nonlinear characteristics such as frequency change,amplitude change and so on.There will also be some unique phenomena of nonlinear systems,such as superharmonic resonance,subharmonic resonance and so on.The nonlinear factors are not taken into account in the traditional vehicle dynamics calculation.In this paper,the stiffness characteristic curve of a certain type of hourglass rubber spring is fitted by cubic polynomial,and the main resonance of two-degree-of-freedom vehicle model and the subharmonic resonance of single-degree-of-freedom model are analyzed by multi-scale method.The analysis results show that the jump phenomenon will occur in the nonlinear model,and the occurrence of subharmonic resonance can be prevented by increasing damping or reducing nonlinear stiffness.
作者
王业
曾京
WANG Ye;ZENG Jing
出处
《科技创新与应用》
2019年第9期9-12,15,共5页
Technology Innovation and Application
基金
科技部国家重点研发计划资助(编号:2017YFB1201304-11)~~
关键词
多尺度法
铁道车辆
二自由度
亚谐共振
主共振
multi-scale method
railway vehicle
two degrees of freedom
subharmonic resonance
main resonance
