工程车辆油气悬架分数阶建模与特性分析
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国家高技术研究发展计划(863计划)资助项目(2011AA060404)


Fractional Modeling and Characteristic Analysis of Hydro-pneumatic Suspension for Construction Vehicles
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    摘要:

    建立了某型工程车辆油气悬架的运动微分方程,基于油气悬架的多相介质力学特点,引入了分数阶微积分理论,建立其分数阶Bagley-Torvik方程。通过Oustaloup算法设计低通滤波器进行数值运算,求得非线性分数阶微分方程数值解,探讨分数阶模型下悬架的振动特性。通过搭建等比例试验台和建立仿真模型,将分数阶、整数阶仿真和试验数据进行对比。结果表明当分数阶次取0.9时能更好地反映油气悬架运动特性,系统的分数阶模型与实测数据能够更好地吻合,验证了分数阶模型在油气悬架系统模型上的有效性。

    Abstract:

    Motion differential equation of hydro-pneumatic suspension is established to describe the vibration characteristics for a certain type of construction vehicles. The output force was deduced from the suspension parameters. Based on the suspension characteristics of multi-phase medium, fractional calculus theory was introduced, and its fractional Bagley-Torvik equation was set up. The numerical computation by low-pass filter of Oustaloup algorithm was performed. The numerical solution of nonlinear fractional equation was obtained to investigate the vibration characteristics of the suspension fractional system. By the build of equal-ratio test platform and simulation model, the fractional, integer order model simulation and experimental data were compared. When the fractional-order is 0.9, it better describes the motion characteristics of suspension system. The experiments show that the experimental data can fit the fractional order system model well, thereby prove the model on hydro pneumatic suspension system.

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金 纯,孙会来,张文明,李 昊,田海勇.工程车辆油气悬架分数阶建模与特性分析[J].农业机械学报,2014,45(5):16-21. Jin Chun, Sun Huilai, Zhang Wenming, Li Hao, Tian Haiyong. Fractional Modeling and Characteristic Analysis of Hydro-pneumatic Suspension for Construction Vehicles[J]. Transactions of the Chinese Society for Agricultural Machinery,2014,45(5):16-21

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  • 收稿日期:2013-12-03
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  • 在线发布日期: 2014-05-10
  • 出版日期: 2014-05-10