title: Generalization of a model of hysteresis for dynamical systems.
abstract: 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.
authors.affiliation: Naval Undersea Warfare Center, Division Newport, Rhode Island 02841, USA. piquettejc@npt.nuwc.navy.mil
authors.forename: Jean C
authors.initials: JC
authors.lastname: Piquette
authors.forename: Elizabeth A
authors.initials: EA
authors.lastname: McLaughlin
authors.forename: Wei
authors.initials: W
authors.lastname: Ren
authors.forename: Binu K
authors.initials: BK
authors.lastname: Mukherjee