scholarly journals Lyapunov-Based Control for Suppression of Wind-Induced Galloping in Suspension Bridges

2011 ◽  
Vol 2011 ◽  
pp. 1-23 ◽  
Author(s):  
Naif B. Almutairi ◽  
Mohamed Zribi ◽  
Mohamed Abdel-Rohman
Keyword(s):  
Bridge Deck ◽  
Suspension Bridge ◽  
High Amplitude ◽  
Tuned Mass Damper ◽  
Suspension Bridges ◽  
Control Force ◽  
Controlled System ◽  
Mass Damper ◽  
Suspended Cables ◽  
Simulation Results

This paper investigates the suppression of galloping in a suspension bridge due to wind loads. The galloping phenomenon can be destructive due to the high-amplitude oscillations of the structure. Two controllers are proposed to generate the control force needed to suppress the vertical galloping in the suspended cables and in the bridge deck. SIMULINK software is used to simulate 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 tuned mass damper.

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.

Design of a Simple Controller to Control Suspension Bridge Non-linear Vibrations due to Moving Loads

2005 ◽  
Vol 11 (7) ◽  
pp. 867-885 ◽  
Author(s):  
M. Abdel-Rohman
Keyword(s):  
Bridge Deck ◽  
Suspension Bridge ◽  
Suspension Bridges ◽  
Control Mechanisms ◽  
Control Force ◽  
Moving Loads ◽  
Non Linear ◽  
Linear Vibrations ◽  
Suspended Cables ◽  
Non Linear System

The flexibility and low damping of the long span suspended cables in suspension bridges make them prone to non-linear vibrations due to wind and moving loads. In this paper we consider the dynamic response of a suspension bridge due to a vertical load moving with a constant speed on the bridge deck. Control mechanisms are suggested to generate control forces to control the non-linear vibrations in the bridge deck and the suspended cables. A simple design is presented for the controller based on the feedback of the velocity measurements taken at the control force location. The design is made first on a linear model before applying it to the actual non-linear system. The method is applied on three different types of control mechanisms. Comparison between the controlled responses using the three controllers indicates that, in addition to the method of designing the control actions, the feasibility of the active control depends mainly on the type of the control mechanism.

Optimizing tuned mass damper parameters to mitigate the torsional vibration of a suspension bridge under pulse-type ground motion: A sensitivity analysis

2019 ◽  
Vol 26 (11-12) ◽  
pp. 1054-1067 ◽  
Author(s):  
Seyyed Hossein Hossein Lavassani ◽  
Hamed Alizadeh ◽  
Peyman Homami
Keyword(s):  
Sensitivity Analysis ◽  
Torsional Vibration ◽  
Passive Control ◽  
Suspension Bridge ◽  
Tuned Mass Damper ◽  
Gyration Radius ◽  
Suspension Bridges ◽  
Torsional Mode ◽  
Mass Damper ◽  
Pulse Type

Suspension bridges are structures that because of their long span and high flexibility can be prone to ambient vibrations such as ground motions. They can experience high amplitude vibrations in torsional mode during an earthquake, where a vibration control strategy seems necessary. Recently, control systems have been widely used to mitigate vibration of structures. Tuned mass damper is a passive control system. Its performance and effectiveness have been verified both theoretically and practically. In this study, a tuned mass damper system is used to mitigate the torsional vibration of a suspension bridge. The Vincent Thomas suspension bridge is selected as a case study, and its response is reduced by a tuned mass damper under ten pulse-type records from 10 major worldwide earthquakes. By using sensitivity analysis, a parametric study is carried out to optimize tuned mass damper parameters, namely, mass ratio, gyration radius, tuning frequency, and damping ratio according to the maximum reduction of the response maxima. Finally, the optimum range of each parameter that can give the best performance and provide both operational and economic justification for the implementation of the project is suggested. The numerical results indicate that the optimized tuned mass damper system can substantially reduce the maximum response and vibration time.

Vibration control of suspension bridge due to vertical ground motions

2020 ◽  
Vol 23 (12) ◽  
pp. 2626-2641
Author(s):  
Seyed Hossein Hosseini Lavasani ◽  
Hamed Alizadeh ◽  
Rouzbeh Doroudi ◽  
Peyman Homami
Keyword(s):  
Active Control ◽  
Passive Control ◽  
Ground Motions ◽  
Tuned Mass Damper ◽  
Suspension Bridges ◽  
Control Force ◽  
Wide Range ◽  
Mass Damper

Suspension bridges due to their long span can experience large displacement response under dynamic loading like earthquakes. Unlike other structures, their vertical vibration may make remarkable difficulty that a control strategy seems to be essential. Tuned mass damper is a passive control system that can be changed to active one by adding an external source producing the active control force called active tuned mass damper. Unlike passive systems, active ones need a controller system affecting the performance of them considerably. In this study, the efficiency of tuned mass damper and active tuned mass damper are investigated in the bridges. Two controllers, fuzzy type 2 and fuzzy type 1, are used to estimate control force of active tuned mass damper. Tuned mass damper’s parameters are optimized under wide range of ground motions. Also, fuzzy type 2 and fuzzy type 1’s parameters are optimized under the influence of three different conditions containing far-field and near-field ground motions and also combination of them. In addition, Lion Pride Optimization Algorithm is selected for optimizing section. Numerical analysis indicates that active tuned mass damper is more effective than tuned mass damper, and also active tuned mass damper does not make any instability matter of concern in active control systems. Furthermore, performance of fuzzy type 2 is better than fuzzy type 1.

The influence of the higher order modes on the dynamic response of suspension bridges

2011 ◽  
Vol 18 (9) ◽  
pp. 1380-1405 ◽  
Author(s):  
Mohamed Abdel-Rohman
Keyword(s):  
Dynamic Response ◽  
Bridge Deck ◽  
Moving Load ◽  
Suspension Bridge ◽  
Higher Order ◽  
Wind Loading ◽  
Suspension Bridges ◽  
Higher Order Modes ◽  
First Case ◽  
Suspended Cables

The influence of the higher order modes of vibrations on the dynamic response of a suspension bridge is studied for two cases of loading. The first case is when the bridge is subjected to wind loading on the suspended cables and the bridge deck. The second case is when the bridge is subjected to a moving load on the bridge deck. The dynamic responses of the bridge deck and the suspended cables considering some higher order modes of vibrations are compared with the bridge response when it is modeled by the first dominant modes for each case of loading. It is shown that the influence of the higher order modes when the suspension bridge is subjected to wind loading is more significant than in the case when the bridge is subjected to a moving load. Therefore, it is recommended to investigate the influence of some higher order modes on the dynamic response of the suspension bridges and not always to depend on the response estimated from the first dominant modes of vibration.

scholarly journals A Multi-Degree of Freedom Tuned Mass Damper Design for Vibration Mitigation of a Suspension Bridge

2020 ◽  
Vol 10 (2) ◽  
pp. 457 ◽  
Author(s):  
Fanhao Meng ◽  
Jiancheng Wan ◽  
Yongjun Xia ◽  
Yong Ma ◽  
Jingjun Yu
Keyword(s):  
Structural Response ◽  
Suspension Bridge ◽  
Tuned Mass Damper ◽  
Degree Of Freedom ◽  
Suspension Bridges ◽  
Synthetic Approach ◽  
Compliance Matrix ◽  
Flexible Beams ◽  
Concept Model ◽  
Mass Damper

This paper proposes a synthetic approach to design and implement a two-degree of freedom tuned mass damper (2DOFs TMD), aimed at damping bending and torsional modes of bridge decks (it can also be applied to other types of bridges like cable-stayed bridges to realize the energy dissipation). For verifying the effectiveness of the concept model, we cast the parameter optimization of the 2DOFs TMDs conceptual model as a control problem with decentralized static output feedback for minimizing the response of the bridge deck. For designing the expected modes of the 2DOFs TMDs, the graphical approach was introduced to arrange flexible beams properly according to the exact constraints. Based on the optimized frequency ratios, the dimensions of 2DOF TMDs are determined by the compliance matrix method. Finally, the mitigation effect was illustrated and verified by an experimental test on the suspension bridge mock-up. The results showed that the 2DOFs TMD is an effective structural response mitigation device used to mitigate the response of suspension bridges. It was also observed that based on the proposed synthetic approach, 2DOFs TMD parameters can be effectively designed to realize the target modes control.

scholarly journals LQR Control of Wind Excited Benchmark Building Using Variable Stiffness Tuned Mass Damper

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
S. N. Deshmukh ◽  
N. K. Chandiramani
Keyword(s):  
Linear Time ◽  
Variable Stiffness ◽  
Tuned Mass Damper ◽  
Nonlinear Static Analysis ◽  
Performance Criteria ◽  
Control Law ◽  
Control Force ◽  
Displacement Control ◽  
Lqr Control ◽  
Mass Damper

LQR control of wind induced motion of a benchmark building is considered. The building is fitted with a semiactive variable stiffness tuned mass damper adapted from the literature. The nominal stiffness of the device corresponds to the fundamental frequency of the building and is included in the system matrix. This results in a linear time-invariant system, for which the desired control force is computed using LQR control. The control force thus computed is then realized by varying the device stiffness around its nominal value by using a simple control law. A nonlinear static analysis is performed in order to establish the range of linearity, in terms of the device (configuration) angle, for which the control law is valid. Results are obtained for the cases of zero and nonzero structural stiffness variation. The performance criteria evaluated show that the present method provides displacement control that is comparable with that of two existing controllers. The acceleration control, while not as good as that obtained with the existing active controller, is comparable or better than that obtained with the existing semiactive controller. By using substantially less power as well as control force, the present control yields comparable displacement control and reasonable acceleration control.

Robust multi-objective optimization design of active tuned mass damper system to mitigate the vibrations of a high-rise building

2014 ◽  
Vol 229 (1) ◽  
pp. 26-43 ◽  
Author(s):  
S Pourzeynali ◽  
S Salimi
Keyword(s):  
Damping Ratio ◽  
Tuned Mass Damper ◽  
Robust Design Optimization ◽  
Design Parameters ◽  
Control Force ◽  
Multi Objective ◽  
High Rise ◽  
High Rise Building ◽  
Mass Damper ◽  
Damper Design

In engineering applications, many control devices have been developed to reduce the vibrations of structures. Active tuned mass damper system is one of these devices, which is a combination of a passive tuned mass damper system and an actuator to produce a control force. The main objective of this paper is to present a practical procedure for both deterministic and probabilistic design of the active tuned mass damper control system using multi-objective genetic algorithms to mitigate high-rise building responses. For this purpose, extensive numerical analyses have been performed, and optimal robust results of the active tuned mass damper design parameters with their effectiveness in reducing the example building responses have been presented. Uncertainties, which may exist in the system, have been taken into account using a robust design optimization procedure. The stiffness matrix and damping ratio of the building are considered as uncertain random variables; and using the well-known beta distribution, 50 pairs of these variables are generated. This resulted in 50 buildings with different stiffness matrices and damping ratios. These simulated buildings are used to evaluate robust optimal values of the active tuned mass damper design parameters. Four non-commensurable objective functions, namely maximum displacement, maximum velocity, maximum acceleration of each floor of the building, and active control force produced by the actuator are considered, and a fast and elitist non-dominated sorting genetic algorithm approach is used to find a set of pareto-optimal solutions.

Analysis on vibration control of a large-span pedestrian suspension bridge based on a multiple tuned mass damper system

2019 ◽  
Vol 50 (2) ◽  
pp. 56-63
Author(s):  
Zhen Li ◽  
Dejian Li ◽  
Yao Lu ◽  
Chao Tang
Keyword(s):  
Vibration Control ◽  
Passive Control ◽  
Suspension Bridge ◽  
Element Model ◽  
Tuned Mass Damper ◽  
Load Spectrum ◽  
Large Span ◽  
Pedestrian Bridges ◽  
Mass Damper ◽  
Reduction Effect

Tuned mass damper is one of the commonly used passive control devices. It is the earliest used device in civil engineering control of vibration control of high-rise buildings and towering structures. For large-span pedestrian bridges, the pedestrian load spectrum covers many modalities of pedestrian bridges. It is difficult to achieve the expected results with a single tuned mass damper device. In order to obtain efficient damping, the multiple modes of a multiple tuned mass damper which may resonate under excitation are controlled. This chapter adopts the pedestrian suspension bridge over Dongtan River as the subject to arrange a multiple tuned mass damper system in the finite element model of the pedestrian suspension bridge, analyze the effectiveness of the multiple tuned mass damper system on the control of human-induced vibration of a large-span pedestrian suspension bridge, and discuss the vibration reduction effect of the multiple tuned mass damper system on the response to human-induced vibration of the pedestrian suspension bridge. The analysis shows that a multiple tuned mass damper system has a significant effect on controlling human-induced vibration of the pedestrian suspension bridge.

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