Control of Suspension Bridge Nonlinear Vibrations due to Moving Loads
Control of Suspension Bridge Nonlinear Vibrations due to Moving Loads
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DOI：
10.1061/(asce)0733-9399(2006)132:6(659
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发表时间：
2006-06
影响因子：
3.9
通讯作者：
N. Almutairi;M. F. Hassan;M. Abdel-Rohman;M. J. Terro
中科院分区：
文献类型：
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作者：
N. Almutairi;M. F. Hassan;M. Abdel-Rohman;M. J. Terro
悬索桥中大跨度悬索的柔性和低阻尼特性使其在风荷载和移动荷载作用下容易发生振动，从而影响悬索和桥面的动力响应。本文提出了两种控制方案的设计，以控制悬索和桥面的非线性振动，由于垂直荷载以恒定的速度在桥面上移动。第一种控制方案是最优状态反馈控制器。第二种控制方案是鲁棒状态反馈控制器，它是基于最优控制器的设计。所提出的控制器，其设计是基于李雅普诺夫理论，保证系统的渐近稳定性。在桥面和悬索之间的垂直缆索用于安装能够在桥面上产生主动控制力的液压致动器。利用MATLAB软件对所设计的控制器进行了系统性能仿真。仿真结果表明，所提出的控制器能够显着减少系统的非线性振荡。此外，与所提出的控制器的系统的性能进行比较，与速度反馈控制器控制的系统的性能。结果表明，所设计的控制器能使系统的性能优于速度反馈控制器。
The flexibility and low damping of the long-span suspended cables in suspension bridges make them prone to vibrations due to wind and moving loads, which affect the dynamic response of the suspended cables and bridge deck. This paper shows the design of 2 control schemes to control the nonlinear vibrations in the suspended cables and bridge deck due to a vertical load moving on the bridge deck with a constant speed. The first control scheme is an optimal state feedback controller. The second control scheme is a robust state feedback controller, which is based on the design of optimal controllers. The proposed controllers, whose design is based on Lyapunov theory, guarantee the asymptotic stability of the system. A vertical cable between the bridge deck and the suspended cable is used to install a hydraulic actuator able to generate the active control force on the bridge deck. The MATLAB software is used to simulate the performance of the system with the designed controllers. Simulation results indicate that the proposed controllers are capable of significantly reducing the nonlinear oscillations of the system. 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. It is found that the system with the proposed controllers can provide better performance than the system with the velocity feedback controller.