Generalization of a model of hysteresis for dynamical systems.
A previously described model of hysteresis [J. C. Piquette and S. E. Forsythe, J. Acoust. Soc. Am. 106, 3317-3327 (1999); 106, 3328-3334 (1999)] is generalized to apply to a dynamical system. The original model produces theoretical hysteresis loops that agree well with laboratory measurements acquired under quasi-static conditions. The loops are produced using three-dimensional rotation matrices. An iterative procedure, which allows the model to be applied to a dynamical system, is introduced here. It is shown that, unlike the quasi-static case, self-crossing of the loops is a realistic possibility when inertia and viscous friction are taken into account.
Piquette
Jean C
JC
Naval Undersea Warfare Center, Division Newport, Rhode Island 02841, USA. piquettejc@npt.nuwc.navy.mil
McLaughlin
Elizabeth A
EA
Ren
Wei
W
Mukherjee
Binu K
BK