A testing system fractional model for MRF was established, which was well fitted with the numerical solution of the fractional order differential equation and the least square method, to make a research of the dynamic performance of the MRF at different rotational speeds. The results demonstrate that fractional order model describes the dynamic performance and the viscoelasticity of MRF more accurately than

that by the integral order model; and MRF damping performance increases with increasing rotational speed and iron powder content; meanwhile, the model order extended from 0 to 2, and whether the order β is greater than one is relevant to the changing coefficient ratios. In addition,its iron powder content and rotational speed affect the viscoelasticity of MRF greatly.

建立了磁流变液测试系统的分数阶模型,并利用分数阶微分方程的数值解和最小二乘法拟合了该分数阶模型，探究了不同转速磁流变液的动态性能。实验结果表明：分数阶模型能更准确、更细微地描述磁流变液的动态性能和黏弹特性;磁流变液的阻尼特性随转速和羟基铁粉含量的提高而明显增强;所建模型阶数的范围在0到2之间，且其是否大于1与弹性项和惯性项的比值变化有关。另外，羟基铁粉的含量和转速大小对磁流变液黏弹特性都有较大影响。

 

磁流变液, 黏弹性流体, 分数阶导数, 系统建模

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