Identification of nonlinear hysteretic systems using sequence model‐based optimization

Abstract

Summary Identification of nonlinear hysteretic systems has practical significance for the prediction of structural response. This paper develops a novel parameter identification method for nonlinear hysteretic systems. The Bouc–Wen model and its improved models are used to parametrically characterize the structural systems. Model parameters are identified using a given load‐displacement trajectory. The proposed method is developed under the framework of the sequence model optimization, which provides a broader search domain and needs fewer iterations. Firstly, a series of sensitivity analyses were conducted to investigate the effects of the Bouc–Wen parameters on the hysteresis behavior and to guide the identification process. Subsequently, based on the framework of the sequence model optimization, a novel strategy for identifying the model parameters of the nonlinear hysteresis system was proposed. Finally, the effectiveness and accuracy of the proposed algorithm were verified by the experimental data and numerical simulation results. The results indicate that the identified numerical model can accurately capture the strength and stiffness degradation and the pinching effect of the structural system. As a result, the predicted hysteretic trajectories are well agreed with the actual structural responses. The case studies demonstrate that the proposed method is sufficiently accurate and computationally efficient for the nonlinear hysteretic systems.

Shaking Table Attached to Magnetorheological Damper: Simulation and Experiments for Structural Engineering

“…Not to mention that temperature changes drastically affect hysteresis ([ 22 ], Figure 2 ), which complicates even more the modeling task. Even soft-computing-based models suffer noticeable modeling errors [ 27 , 35 , 37 ]. These facts combined confirm how difficult the task of modeling MR dampers is.…”

“…The Bouc–Wen model has no physical meaning; however, the Bouc–Wen model describes hysteresis, and hysteresis is the phenomenon that drives MR dampers. This assertion finds evidence in many experiments performed over the last two decades; see [ 3 , 17 , 34 , 35 , 36 , 37 , 38 , 39 ] for a brief account. These investigations suggest that the Bouc–Wen model represents the hysteresis behavior of MR dampers.…”

On the use of Stochastic Bouc–Wen model for simulating viscoelastic internal variables from a finite element approximation of steady-rolling tire

“…An advantage of the Bouc-Wen model is that it accommodates real hysteresis loops by choosing an appropriate set of parameters (Ismail et al 2009). For this reason, problems involving the Bouc-Wen model are typically parameter estimation problems, as the example described in Jiang et al (2020).…”

Random vibration of hysteretic systems under Poisson white noise excitations

“…It can be observed that for a given k trunc , there is a range of E[Y 2 ] values below the curve satisfying the inequality in Eq. (7). As k trunc increases, implying that more terms are kept in Eq.…”

“…Hysteresis is characterized by the nonlinear restoring force of the material, and is a function of both instantaneous and historical deformations [6] . That is to say, the hysteretic force is a function of the displacement and velocity of the structure [7] . It is a challenge to calculate the response of structural systems with hysteresis for the reliability design of structures under random excitations.…”