Modelling of Hysteresis in Vibration Control Systems by means of the Bouc-Wen Model

The review presents developments concerning the modelling of vibration control systems with hysteresis. In particular, the review focuses on applications of the Bouc-Wen model that describes accurate hysteretic behaviour in vibration control devices. The review consists of theoretical aspects of the Bouc-Wen model, identification procedures, and applications in vibration control

A velocity based active vibration control of hysteretic systems

Hysteresis is a property of systems that do not instantly follow the forces applied to them, but react slowly, or do not return completely to their original state. A velocity based active vibration control, along with a special class of hysteretic models using passive functions are presented in this paper. This hysteretic model is based on a modification of the Bouc–Wen model, where a nonlinear term is replaced by a passive function. The proposed class retains the rate-independence property of the original Bouc–Wen model, and it is able to reproduce several kinds of hysteretic loops that cannot be reproduced with the original Bouc–Wen model. Using this class of hysteretic models, a chattering velocity-based active vibration control scheme is developed to mitigate seismic perturbations on hysteretic base-isolated structures. Our hysteretic model is used because of its simplicity in proving the stability of the closed-loop system; i.e., a controller is designed using the proposed model, and its performance is tested on the original hysteretic system, modeled with Bouc–Wen. Numerical experiments show the robustness and efficiency of the proposed control algorithm.Peer ReviewedPostprint (author's final draft

Instantaneous identification of Bouc-Wen-type hysteretic systems from seismic response data

This paper presents a technique for identification of non-linear hysteretic systems subjected to non-stationary loading. In the numerical simulations, a Bouc-Wen model was chosen for its ability to represent the properties of a wide class of real hysteretic systems. The parameters of the model are computed instantaneously by approximating the internal restoring force surface through an "ad hoc" polynomial basis. Instantaneous estimates result from time-varying spectra of the response signals. A numerical application of interest to earthquake engineering is finally reported

Modelling and design smart controller of magneto rheological using bouc-wen and sim model for motorcycle suspension system

Suspension system is a type of structural equipment attached to the wheels of a vehicle for the purpose of reducing the effects of irregularities on road surfaces. This paper investigates the Magneto rheological (MR) suspension system in motorcycle and compares its advantages with the passive suspension system. Passive suspension element can only store and dissipate energy associated with local relative motion. Moreover its energy cannot be controlled as the suspension properties remain fixed at all time, unlike MR suspension which has the ability to overcome these drawbacks. The characteristic of the latter is related to micron-sized particles, typically iron, that forms particle chains, when appropriate electric field is applied. Two modelling approaches which are the Bouc-Wen model and Sim models, were used in this research. By comparing these two MR models and passive suspension system, it can be concluded that the Bouc-Wen model gives the best result. It is also shown that MR suspension systems reduce the displacement amplitude around 30% whereas the time settling is reduced from 10 to 3 seconds, compared to the passive suspension system

Thermodynamic admissibility of Bouc-Wen type hysteresis models

International audienceStarting from the relationship between the Bouc model and the endochronic theory and by adopting some new intrinsic time measures, the thermodynamic admissibility of the Bouc-Wen model is proved, in the univariate case as well as in the tensorial one. Moreover, the proposed proof encompasses the cases where a strength degradation term appears

Hysteresis Modeling of Amplified Piezoelectric Stack Actuator for the Control of the Microgripper

This paper presents Bouc-Wen hysteresis modelling and tracking control of piezoelectric stack APA120S. The actuator is used to control a microgripper. A modified Bouc-Wen non-symmetric model is applied to study the behaviour of the system in static and dynamic state. The good agreement between predicted and measured curve showed that the Bouc-Wen model is an effective mean for modelling the hysteresis of piezoelectric actuator system. Subsequently, the inverse Bouc-Wen model is formulated and applied to cancel the non-linear hysteresis. In perspective of a control design, it is desirable to linearize the non-linear Bouc-Wen model to produce a static system. Finally, in order to increase damping of the actuator system and to improve the control accuracy, a cascaded PID controller is designed with consideration of the dynamics and static behaviour of the actuator. Experiment result shows that error is of only 5% if PID is cascaded with hysteresis compensation. Therefore, hysteresis compensation with PID controller greatly improves the micromanipulation accuracy of the microgripper actuated by piezoelectric stack

Bounded and dissipative solutions of the Bouc-Wen model for hysteretic structural systems

The aim of this paper is to give the conditions on the hysteretic Bouc-Wen model so that (i) it has the property of being bounded input bounded output (BIBO), and (ii) it dissipates energy (or is passive). This study leads to a classification of the possible BIBO and dissipative (or passive) Bouc-Wen models.Postprint (published version

Experimental study on parameter identification of rubber-bearings based on quadratic sum-squares error

In this paper, the QSSE method has been used for experimental study on parameter identification of rubber-bearings, the experimental model of rubber-bearings has been built and the widely used Bouc-Wen model has been investigated to represent the hysteretic behavior of rubber-bearing isolators. Further, experimental tests using a particular type of rubber-bearing (GZN110) have been conducted to measure base accelerations and model accelerations. Based on experimental vibration data measured from sensors, the QSSE method is used to identify the model parameters and displacements. Experimental results demonstrate that the estimated parameters are identical, and the identified displacements match the experimental ones well based on different excitation scenarios, i.e., different kinds of earthquakes with different peak ground accelerations. The influence on the estimated parameters based on the changes of initial parameters is little. It demonstrates that the Bouc-Wen model is capable of describing the nonlinear behavior of rubber-bearings. Compared with the EKF method, the QSSE method calculates faster, which demonstrates that the QSSE approach has better robustness and calculation efficiency and is quite effective and accurate for parameter identification of nonlinear hysteretic rubber-bearings

A nonlinear macroelement formulation for the seismic analysis of masonry buildings

A macroelement is presented for the nonlinear dynamic analysis of masonry structures under seismic actions. The macroelement, developed in the framework of the equivalent frame model, has a force-based formulation and accounts for flexural and shear failure mechanisms, by means of two flexural hinges at the ends and a shear link, respectively. The flexural hinges are formulated according to the Bouc-Wen model to describe the progressive development of cracks and the hysteresis loops under load reversals. The shear link, in addition to the aforementioned effects, accounts for the strength/stiffness decay and is formulated adopting the Bouc-Wen-Baber-Noori model. Numerical comparisons with experimental tests on masonry piers are presented, showing the suitability of the presented macroelement