We introduce a dynamic exponential model of ferromagnetic hysteresis that unifies the cooperative exponential model with the Néel fluctuating field, Jiles-Atherton approach to the anhysteretic and a Preisach convolution integral over a field distribution function. Dynamic effects such as viscous field advance and eddy current field delay are modeled directly by the model parameters. The dynamic effect of creeping in the direction of the previous maximum susceptibility due to viscosity as predicted by Street is observed and is modeled using the proposed method. Negative tilting of asymmetric minor hysteresis loops (lower susceptibility) with cycling is also observed and is also modeled using the proposed model as increased Néel's “opposition” in our cooperative field, H_coop. Shearing of hysteresis loops is modeled as an averaging of the exponential model <X_exp> over viscous advance and eddy current delay fields, causing truncation and broadening. Detailed measurement procedures are described for a hollow cylinder and thin and thick rings of Fe94Ni3Cr2Mo1 steel with variable frequency sine, triangle and step field waveforms.

我们介绍了铁磁滞的动态指数模型，该模型将协作指数模型与Néel波动场，用于滞回的Jiles-Atherton方法以及在场分布函数上的Preisach卷积积分统一在一起。通过模型参数直接对诸如粘性场超前和涡流场延迟等动态效应进行建模。观察到了由Street预测的，由于粘度引起的沿先前最大磁化率方向蠕变的动力效应，并使用提出的方法对其进行了建模。不对称的小磁滞回线（低敏感性），与骑自行车的负倾斜，也观察到，并使用如增加了我们的合作领域奈尔的“反对派”，该模型也被模型，H_鸡舍。磁滞回线的剪切建模为在粘性提前和涡流延迟场上指数模型<X _exp >的平均值，导致截断和扩展。描述了具有可变频率正弦波，三角波和阶跃场波形的Fe94Ni3Cr2Mo1钢的空心圆柱体以及薄而厚的环的详细测量程序。