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Research Papers

Optimal Vibration Suppression of Structures Under Random Base Excitation Using Semi-Active Mass Damper

[+] Author and Article Information
F. Yang, R. Sedaghati

Department of Mechanical and Industrial Engineering, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, QC, H3G 1M8, Canada

E. Esmailzadeh1

Faculty of Engineering and Applied Science, University of Ontario Institute of Technology, 2000 Simcoe Street North, Oshawa, ON, L1H 7K4, Canadaezadeh@uoit.ca

1

Corresponding author.

J. Vib. Acoust 132(4), 041002 (May 20, 2010) (10 pages) doi:10.1115/1.4000969 History: Received January 26, 2009; Revised January 08, 2010; Published May 20, 2010; Online May 20, 2010

The vibration suppression of structures using a semi-active mass damper is investigated in this study. A magnetorheological (MR)-damper is utilized to design the semi-actively controlled mass damper. The inverse MR-damper model is developed on the basis of an improved LuGre friction model, and combined with a designed H2/Linear-Quadratic-Gaussian (H2/LQG) controller, in order to control the command current of the MR-damper to suppress structural vibration levels effectively. Illustrated examples are considered to investigate the vibration suppression effectiveness of a semi-active mass damper with a MR-damper, using the developed control methodology. The simulation results were compared with those reported in literature in order to validate the presented methodology.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 11

Command current comparisons. (a) SAMD structure with the proposed controller stated in Fig. 2. (b) SAMD structure with the inverse-clipped-optimal controller stated in Fig. 9. (c) SAMD structure with the clipped-optimal controller stated in Fig. 8.

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Figure 10

Comparison of time history diagrams of the structural responses. Absolute accelerations of the first floor (a), second floor (b), and top floor (c). Top floor displacement relative to the base (d). SAMD structure with the proposed controller stated in Fig. 2 (solid lines); Clipped-optimal controller stated in Fig. 8 (dotted lines); Inverse-clipped-optimal controller stated in Fig. 9 (dashed lines).

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Figure 9

SAMD system using a MR-damper with an inverse-clipped-optimal controller

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Figure 8

SAMD system using a MR-damper with a clipped-optimal controller

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Figure 7

Time history diagrams of the structural response. Absolute accelerations of the first floor (a), second floor (b), and top floor (c). Top floor displacement relative to the base (d). Structure with AMD system (solid lines); Structure utilized SAMD with MR-damper and the proposed controller (dotted lines).

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Figure 6

Time history diagrams of the structural response. Absolute accelerations of the first floor (a), second floor (b), and top floor (c) Top floor displacement relative to the base (d). Uncontrolled structure (solid lines); Structure utilized SAMD with MR-damper and the proposed controller (dotted lines).

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Figure 5

Frequency response of structure subjected to base excitation. Absolute accelerations of the first floor (a), second floor (b), and top floor (c). Top floor displacement relative to the base (d). Uncontrolled structure (solid lines); Structure utilized AMD system (dotted lines).

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Figure 4

The magnitude of the open-loop transfer function

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Figure 3

The model of a three-floor building

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Figure 2

A SAMD system using a MR-damper with the proposed control method

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Figure 1

The solution of the optimization problem stated in Eq. 6

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