Semi-active Control of Structures with MR Damper Using Modified Newmark Method Based on Instantaneous Optimal Control Algorithm

Authors

Faculty of Civil Engineering, University of Tabriz

Abstract

Magnetorheological (MR) fluid damper shows great promising in semi-active control of civil engineering structures, in which, fault-safe, low-power consumption, force controllability and rapid response are its advantageous. However, a major drawback that hinders its application rests with the non-linear force/displacement and hysteretic force/velocity characteristics. With regard to building control, it is crucial that a tractable model of the MR damper should be available before any design in realizable controller. There are several MR damper models proposed in the literature using a range of techniques. Models obtained by a deterministic approach include Bingham, phenomenological, Bouc-Wen models. The Bingham model cannot represents nonlinear behavior of MR damper and may be considered as a simple model for the hysteresis characteristic. The Bouc-Wen model uses a differential equation to depict the non-linear hysteresis with moderate complexity and is widely applied in building controls [1]. Nonlinear dependent relation between damper control force, floors displacement and velocity does not allow to solve governing equation of motion which makes the structure response analyzing impossible. There are a few new methods for estimating the response of structure with MR damper. In the present study modified Newmark-Beta method base on the instantaneous optimal control algorithm is used to estimate the response of the coupled system with MR damper, for the first time.

Keywords


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