A Method for Optimal Identification of a Stop Model With Input-Dependent Shape Function

An optimal identification method is developed for an efficient hysteresis model: a stop model having an input-dependent shape function. To simplify the identification procedure, the input-dependent shape function is given by the product of a weighting function and an input-independent shape function. The optimal weighting function is determined using the least-squares method. To obtain an optimal weighting function, two methods are proposed: one uses the property of equal vertical chords, the other is based on a symmetry condition. Both methods effectively improve the representation accuracy of B--H loops of silicon steel sheets using the stop model. The representation capability of the stop model is compared with that of the play model