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Research Papers

Boundary Stabilization of Parachute Dams in Contact With Fluid

[+] Author and Article Information
Ali Najafi

Young Researchers Club, Shiraz Branch, Islamic Azad University, Shiraz, Iranana@iaushiraz.net

Mohammad Eghtesad1

School of Mechanical Engineering,Shiraz University Mollasadra Ave.,Shiraz, Fars, Iran, 71348-51154eghtesad@shirazu.ac.ir

Farhang Daneshmand2

School of Mechanical Engineering,Shiraz University Mollasadra Ave.,Shiraz, Fars, Iran, 71348-51154farhang.daneshmand@mcgill.ca

Amir Lotfazar

School of Mechanical and Aerospace Engineering,  Shiraz University of Technology, P. O. Box 71555-313, Modarres Blvd., Shiraz, Fars, Iranlotfavar@sutech.ac.ir

1

Corresponding author.

2

Currently visiting professor at Department of Mechanical Engineering, McGill University, Montreal, Quebec H3A 2K6, Canada. e-mail: arhang.daneshmand@mcgill.ca

J. Vib. Acoust 133(6), 061009 (Nov 28, 2011) (6 pages) doi:10.1115/1.4004662 History: Received August 03, 2009; Revised April 13, 2011; Accepted May 02, 2011; Published November 28, 2011; Online November 28, 2011

The boundary stabilization of a coupled fluid-structure system consisting of a vibrating parachute dam in contact with a fluid is studied in this paper. The parachute dam dynamics is presented by nonlinear partial differential equations. The fluid is assumed to be Newtonian, barotropic, and compressible. For the stability analysis of the coupled system, the boundary control method is used; a boundary feedback is constructed to stabilize the vibrations of the dam and the fluid simultaneously. The control force consists of the feedback from dam tension at its end. Moreover, the exponential stabilization of the parachute dam is achieved using a Lyapunov functional and boundary feedback.

FIGURES IN THIS ARTICLE
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Copyright © 2011 by American Society of Mechanical Engineers
Topics: Fluids , Dams , Vibration
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Figures

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Figure 1

A typical parachute dam with hydrodynamic pressure

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Figure 2

A differential element of the dam

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Figure 3

Schematic view of the parachute dam in contact with the fluid and the equilibrium state

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