Systems with Hysteresis

Abstract

PrefaceFo~~d6, onee mo~etold me my ~~t~net And led me w~-6ely, M an old -6eholaJt, T~ough a v~~g~nai, nonpM-6able ~eed On ~med ~ee-6, Ulae-6 and 4JUineM hOMM-6 ... B. PMtUnak... The mO-6t ~mpo~tant ~-6 that evuyth~ng develop-6 -6y-6temat~eaiiy. Evuyth~ng -6hould eomp~ehend a -6Y-6tem.

Friction Models and Friction Compensation

“…This so called rate independence is an important property of the model. It makes it possible to use the theory of hysteresis operators [35].…”

“…It does not depend on how fast the system moves along the path. This makes it possible to use the elegant theory of hysteresis operators developed in [35,54]. …”

Resonance Phenomena in Systems With Hysteretic Nonlinearities

“…An important problem is the study of resonance in systems with hysteresis [4]. In this way we note a well-known fact: in the presence of viscous friction the harmonic resonance is not realized (for details see, e.g., [6]).…”

“…In these systems the sources with hysteretic properties can not be considered separately, but should be considered as a part of some complex system [1,4]. In this way the hysteretic nonlinearity should be taken into account on the step of modeling and should be included to the system of differential equations that describe the system under consideration.…”

On the Wellposedness of the Chaboche Model

“…The analysis is based on the concept of hysteresis operators, that is, of operators which are rate-independent as well as causal, see e.g. [14], [8], [9], [3]. …”