Abstract

There has been a significant increase in attention toward designing smart structures and vibration control of structures in recent decades, and numerous methods and algorithms have been developed and experimentally investigated. However, the majority of these studies used the shear frame models to represent structures. Since the simplified models do not reflect the realistic behavior of those structures with irregularity in plan and elevation, the traditional methods for designing an optimal control that guarantees a desirable performance is impossible. In this study, the behavior of a 10-story irregular steel frame building is investigated with and without controlling systems. Two pairs of eccentrically placed MR dampers on each story are used in order to mitigate the coupled translational–torsional vibration. The controlling forces are determined using active, passive-off, passive-on, and clipped optimal controls based on the linear quadratic regulator (LQR) algorithm. The results demonstrate that using pairs of magneto-rheological (MR) dampers with an appropriate distance on lower story levels significantly reduces the inter-story drifts for the corner columns, as well as the roof displacements and accelerations.

Highlights

  • Numerous studies have been carried out in order to investigate the pre- and post-earthquake performance of civil infrastructures under different ground motions including several historic earthquakes such as 1940 El Centro, 1994 Northridge, 1995 Kobe, and 1999 Chi-Chi [1,2,3,4]

  • The control force of each MR damper is determined and applied to the structure by a clipped-optimal algorithm based on the linear quadratic regulator (LQR) through adjusting the input voltage

  • Three of the most commonly used earthquake records in vibration control are selected in this study to evaluate the performance of each control techniques using MR dampers (Table 2)

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Summary

Introduction

Numerous studies have been carried out in order to investigate the pre- and post-earthquake performance of civil infrastructures under different ground motions including several historic earthquakes such as 1940 El Centro, 1994 Northridge, 1995 Kobe, and 1999 Chi-Chi [1,2,3,4]. Ghodrati Amiri et al [5] showed that even with the advances in understanding the characteristics of the ground motions, as well as the nonlinear behavior of structural materials, the minimum damage level under the future unknown earthquake loads is not obtainable using conventional retrofitting techniques; they proposed new configurations for retrofitting the existing steel frames. For those buildings with irregular designs in plan and elevation [6,7,8,9] advanced methods of vibration control are essential. A ten-story irregular building is selected for numerical simulations, and the effectiveness of the number of story levels with controllable MR dampers are investigated

Governing Equations of Motion for the Controllable Building Using MR Dampers
Active Control and Semi-Active Clipped Optimal Control Using LQR Algorithm
Passive Control Using MR Dampers
Numerical Studies
Earthquake Loads
Results and Discussion
Time–History Responses
Maximum Inter-Story Drifts
Maximum Lateral Displacements
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