This article introduces straightforward techniques for modeling, identification and inversion of a class of hysteretic systems. The assumed model structure consists of the parametric hysteresis operator and an input or output shaping function. The parametric hysteresis operator isolates the most general multi-valued hysteretic behavior in a well-defined operator form, while the remaining biject...

A class of RC-OTA hysteretic-chaotic oscillators has been previously reported using electronics; therefore, hysteresis is realized by an electronic circuit. To obtain a mathematical model of this RC-OTA chaotic-electronic device, hysteresis modeling turns an important issue. Here, we develop a new mathematical hysteretic model proposing a new jounce-chaotic oscillator. Chaosity test is proved u...

The various mathematical models for hysteresis such as Preisach, Krasnosel’skii–Pokrovskii (KP), Prandtl–Ishlinskii (PI), Maxwell-Slip, Bouc–Wen and Duhem are surveyed in terms of their applications in modeling, control and identification of dynamical systems. In the first step, the classical formalisms of the models are presented to the reader, and more broadly, the utilization of the classica...

Models for magnetostrictive actuators need to include rate-independent hysteresis phenomena, magneto-elastic coupling, and eddy current losses that vary nonlinearly with the frequency of the input. In this paper, we study a low dimensional model for magnetostrictive rod actuators that describes the physical phenomena which are most prominent in the frequency range 0-800Hz. We show that the solu...

This paper presents the principle, fabricated structure, characterization and experimental results obtained for a new class of surfaces—“hydrophobic non-fouling surfaces”—for droplet-based microfluidics. Building on the theory of wetting of rough surfaces, we have developed novel surfaces which are chemically hydrophilic, i.e., the droplet is in contact with a non-fouling hydrophilic material b...

In ferroelectric materials, hysteresis behavior is very difficult to model due to its nonlinear and history-dependent characteristics. Among approaches that are able to describe unsaturated loops, many of them are either very complicated numerical procedures must be employed or the resulting loops contain some undesirable or defective features. In this work, a simple hysteresis model based on a...

This paper addresses the modeling of certain rate-dependent mechanisms which contribute to hysteresis inherent to piezoelectric materials operating at low frequencies. While quasistatic models are suitable for initial material characterization in some applications, the reduction in coercive eld and polarization values which occur as frequencies increase must be accommodated to achieve the full ...

An identiication method for Preisach-type models of hysteresis is presented. By using a phenomenological Preisach-type model for hysteresis we can obtain an exact model for the magnetisation hysteresis in the cases of tapes with strip and with elliptical cross section geometries. With a parametrisation by Maclaurin series, it is possible to identify such a model for any other geometry. An addit...

The influence of an external flow on the relaxation dynamics of a single polymer is investigated theoretically and numerically. We show that a pronounced dynamical slowdown occurs in the vicinity of the coil-stretch transition, especially when the dependence on polymer conformation of the drag is accounted for. For the elongational flow, relaxation times are exceedingly larger than the Zimm rel...

Vibrothermogrphy is a promising technique that uses ultrasonic elastic waves to locally stimulate defects on solids specimens and is typically applied in the aerospace and automotive industries. This technique allows for defect selective imaging using thermal waves that are generated by ultrasound waves. The mechanism involved is frictional heating or hysteresis that turns a dynamically loaded ...