Robustness of Global Attractors for Extensible Coupled Suspension Bridge Equations with Fractional Damping

2021 ◽  
Author(s):  
Moncef Aouadi
Keyword(s):  
Suspension Bridge ◽  
Global Attractors ◽  
Fractional Damping

Existence of strong solutions and global attractors for the suspension bridge equations

2007 ◽  
Vol 67 (2) ◽  
pp. 442-454 ◽  
Author(s):  
Chengkui Zhong ◽  
Qiaozhen Ma ◽  
Chunyou Sun
Keyword(s):  
Strong Solutions ◽  
Suspension Bridge ◽  
Global Attractors

Control of Vibrations due to Moving Loads on Suspension Bridges

2006 ◽  
Vol 11 (3) ◽  
pp. 293-318 ◽  
Author(s):  
M. Zribi ◽  
N. B. Almutairi ◽  
M. Abdel-Rohman
Keyword(s):  
Bridge Deck ◽  
Suspension Bridge ◽  
Lyapunov Theory ◽  
Dynamic Responses ◽  
Suspension Bridges ◽  
Control Force ◽  
Moving Loads ◽  
Hydraulic Actuator ◽  
Long Span ◽  
Suspended Cables

The flexibility and low damping of the long span suspended cables in suspension bridges makes them prone to vibrations due to wind and moving loads which affect the dynamic responses of the suspended cables and the bridge deck. This paper investigates the control of vibrations of a suspension bridge due to a vertical load moving on the bridge deck with a constant speed. A vertical cable between the bridge deck and the suspended cables is used to install a hydraulic actuator able to generate an active control force on the bridge deck. Two control schemes are proposed to generate the control force needed to reduce the vertical vibrations in the suspended cables and in the bridge deck. The proposed controllers, whose design is based on Lyapunov theory, guarantee the asymptotic stability of the system. The MATLAB software is used to simulate the performance of the controlled system. The simulation results indicate that the proposed controllers work well. In addition, the performance of the system with the proposed controllers is compared to the performance of the system controlled with a velocity feedback controller.

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