履带式车辆黏弹性悬架分数阶模型及其减振效果分析  

Fractional order model of viscoelastic suspension for crawler vehicle and its vibration suppression analysis

作　　者：李占龙[1] 孙大刚[1,2] 燕碧娟[2] 孙宝[2] 张文军[2] 

机构地区：[1]西安理工大学机械与精密仪器学院,西安710048 [2]太原科技大学机械工程学院,太原030024

出　　处：《农业工程学报》2015年第7期72-79,共8页Transactions of the Chinese Society of Agricultural Engineering

基　　金：国家青年科学基金(51405323);山西省回国留学人员科研资助项目(2012-073);山西省青年科学基金(2013021020-1)

摘　　要：为了准确掌握黏弹性悬架减振效果及参数影响规律,针对传统整数阶黏弹模型的不足,引入分数阶Kelvin-Voigt模型,建立了考虑结构几何参数的分数阶黏弹性悬架动力学模型,利用Grumwald-Letnikov分数阶导数定义及矩阵函数理论推导出动力学方程数值解。以某型履带拖拉机为例,利用所提模型分析了其黏弹性悬架减振性能,并进行了参数分析,包括黏弹性悬架黏弹件径厚比、分数阶次和激励频率。结果表明,该型悬架具有较好的减振效果,尤其在系统固有频率处效果显著;径厚比与减振效果负相关,分数阶次与减振效果正相关。该研究成果为大功率重载履带黏弹性悬架的开发提供相应的理论基础。Viscoelastic suspension is a newly applicable suspension for a large power and heavy crawler vehicle. The viscoelastic suspension can support a heavy load efficiently when walking and working on the offroad, raise the adhesion property of a vehicle, and decrease the impact vibration level of the vehicle. The suspension consists of a metal part and viscoelastic material which are spaced and arranged to notably control vibration by transforming vibration energy into thermal energy to dissipate it into the air due to the hysteretic characteristic of viscoelastic materials. To predict and accurately study the dynamic behavior of viscoelastic suspension and evaluate its vibration damping capability, fractional calculus was introduced because of the facts that the fractional calculus exhibits global correlation and data-fitting well when describing theological phenomenon. In this context, a fractional order Kelvin-Voigt model considering the geometric factors i.e. A radius-thickness ratio incorporated into a dynamic model of viscoelastic suspension for crawler vehicle was established. In this model, the viscoelastic part was represented by a parallel-combination of a spring whose stress is in direct proportion to the strain and a spring pot whose stress is in direct proportion to the fractional derivative of the strain differentiating from the conventional damping pot with stress being proportional to the first derivative of the strain. A numerical solution was obtained by adoption of a Grumwald-Letnikov fractional derivative definition and a matrix function theory and its calculating codes were programming in Matlab. A history correlation coefficient was achieved to embody the afore-history influence of the viscoelastic suspension on its dynamic behavior. Parameters of a fractional model was acquired by fitting data using a least-square method based on a viscoelastic material tensile test carried out on a Testometric M350-10kN according to GB/T 528-1998 and GB/T 9865.1. For a pragmatic study case, a heavy crawler trac

关 键 词：车辆 悬架 减振 履带式车辆 黏弹性 分数阶模型 

分 类 号：U461.4[机械工程—车辆工程] U463.33[交通运输工程—载运工具运用工程]