The damping characteristics of a magneto-rheological damper featuring non-magnetized flow paths in the piston are analysed using the Eyring constitutive model considering both viscous and minor hydraulic losses. The force–displacement and force–velocity characteristics of the magneto-rheological damper with non-magnetized flow paths were experimentally evaluated under different excitations and magnetic field intensity. Experimental results revealed relatively largerpre-yield-like region, attributed to flows through the non-magnetized paths, which increased with an increase in the coil current. A mathematical model of the damper was subsequently formulated using the Eyring constitutive model considering pressure drop across the piston and viscous effect in addition to the current-dependent friction. The Eyring model parameters were identified as a function of the magnetic field intensity and thus the coil current. For this purpose, a finite element model was formulated to identify a relation between the coil current and the magnetic field intensity. The validity of the proposed model is demonstrated by comparing the model-predicted force–velocity characteristics with the measured data under different applied currents. The model results are also compared with those obtained from the widely reported modified Bouc–Wen model and the Bingham constitutive model. The comparisons showed that the Eyring constitutive model can yield more accurate predictions of the damping properties compared to the Bingham model but similar to those from the modified Bouc–Wen model, while the Bouc–Wen model involves identifications of considerably greater number of parameters. The proposed model provided more accurate prediction of the damping force in the pre-yield region compared to the other models.

中文翻译：

---

活塞内非磁化流路磁流变阻尼器的建模与分析

使用 Eyring 本构模型分析了具有活塞中非磁化流动路径的磁流变阻尼器的阻尼特性，同时考虑了粘性损失和较小的液压损失。在不同的激励和磁场强度下，通过实验评估了具有非磁化流路的磁流变阻尼器的力-位移和力-速度特性。实验结果显示相对较大的类预屈服区域，归因于流经非磁化路径，随着线圈电流的增加而增加。随后使用 Eyring 本构模型制定了阻尼器的数学模型，该模型考虑了活塞两端的压降和粘性效应以及与电流相关的摩擦。Eyring 模型参数被确定为磁场强度和线圈电流的函数。为此，制定了一个有限元模型来确定线圈电流和磁场强度之间的关系。通过将模型预测的力-速度特性与不同施加电流下的测量数据进行比较，证明了所提出模型的有效性。模型结果也与广泛报道的修正 Bouc-Wen 模型和 Bingham 本构模型的结果进行了比较。比较表明，与 Bingham 模型相比，Eyring 本构模型可以对阻尼特性产生更准确的预测，但与修改后的 Bouc-Wen 模型相似，而 Bouc-Wen 模型涉及对大量参数的识别。与其他模型相比，所提出的模型对预屈服区域的阻尼力提供了更准确的预测。