One-dimensional phenomenological model of hysteresis. II. Applications

model of hysteresis is applied to determine material response to multifrequ ency drives, and to the output control problem. Although as presented in Pa per I the model is based on a monofrequency sinusoidal drive, it can readil y be generalized. The generalization is based upon the fact, at least for q uasistatic drives, that the shape of the hysteresis loop is independent of the shape of the drive waveform used to produce it provided that the drive is characterized by only one wave amplitude. The material response to a giv en arbitrarily shaped drive can be determined if the drive is first subdivi ded into single-amplitude regimes or epochs. Each such regime then has asso ciated with it a unique hysteresis loop, which can be determined from the m odel. Each theoretical loop is generated using a monofrequency sinusoidal d rive whose amplitude is equal to the single amplitude contained within the corresponding drive epoch. The material response is then determined by corr elating the level of the given drive field (and the sign of its time deriva tive) with that of the sinusoidal drive used to generate the associated the oretical loop. The response to the arbitrary drive is taken to be equal to the response to the sinusoidal drive at the corresponding drive level and c orrespondingly signed time derivative. This process is capable of inversion . Thus, not only can the material response be determined for a drive of arb itrary waveshape, but also the drive waveshape required to produce a desire d output trajectory can be determined. The procedure is illustrated by dete rmining the drive necessary to produce a monofrequency sinusoidal magnetiza tion response from a biased, prestressed sample of Terfenol D driven at hig h-amplitude magnetic field. [S0001-4966(99)03812-6].