This research aims to introduce a new magnetic core model for magnetorheological (MR) applications requiring high and wide controllable force. In general, the existing models linearize the magnetic behavior of magnetic cores for computational convenience. However, when MR applications such as MR damper require both high actuating force and relatively wide controllable force range, the nonlinearity of the magnetic properties becomes significant, which makes a big difference between the model and actual result. For this reason, the finite element method (FEM) is frequently adopted for modeling the magnetic cores, but it requires a lot of cost and time. To compensate for these disadvantages, a new nonlinear magnetic core model considering both the nonlinearity of the B–H curve of MR fluid and the fringing effect of the gap is proposed in this work. The approach is an extension of Kirchhoff’s law, which performs conformal mapping and backward calculation techniques. After formulating the analytical model, a magnetic core with specific parameters is designed as an illustrative example to validate the proposed model. It is shown through comparative investigations on the proposed model, linearization model, and FEM model that the proposed model is very effective to predict the high controllable force of MR applications.

本研究旨在为需要高且宽可控力的磁流变 (MR) 应用引入一种新的磁芯模型。通常，为了计算方便，现有模型将磁芯的磁行为线性化。然而，当MR阻尼器等MR应用既需要高驱动力又需要相对较宽的可控力范围时，磁特性的非线性变得显着，这使得模型与实际结果存在很大差异。为此，经常采用有限元法 (FEM) 对磁芯进行建模，但需要大量的成本和时间。为了弥补这些缺点，一种新的非线性磁芯模型同时考虑了B – H在这项工作中提出了MR流体的曲线和间隙的边缘效应。该方法是基尔霍夫定律的扩展，它执行保角映射和反向计算技术。在制定分析模型后，设计具有特定参数的磁芯作为说明性示例以验证所提出的模型。通过对所提出的模型、线性化模型和有限元模型的比较研究表明，所提出的模型对于预测 MR 应用的高可控力非常有效。