Differential Formulation of the Vaiana–Rosati Model of Hysteresis: Preliminary Results

We present a preliminary differential formulation of a novel rate-independent hysteretic model, denominated Vaiana–Rosati Model, that is capable of simulating complex generalized force-displacement hysteresis loops, ranging from the asymmetric, pinched, S-shaped, flag-shaped ones to those obtained by their arbitrary combination. Such a formulation drastically simplifies the model implementation when the nonlinear equilibrium equations of a generic hysteretic mechanical system are expressed in the state-space form.