双轴车辆与桥梁的耦合振动与控制
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摘要
当运动的车辆通过跨度较大的桥梁时,车辆会引起桥梁的振动,而桥梁的振动又会使车辆发生振动,这就是车辆和桥梁之间的耦合振动。研究这种耦合振动,可以揭示这种耦合振动的发生原因,以便找到抑制对策。本文建立了比较结合实际车辆的双轴车辆模型,以一定速度通过简支桥梁模型的耦合振动方程;并以桥梁为被控对象,在已有研究的基础上建立了最优控制模型,构建了Simulink仿真模型,分析了不同速度下的控制效果。结果表明,引入主动控制,相对于无控制模型,其控制效果高达77.5%,提高了桥梁的安全性。
When a moving car passes through a bridge with relatively large span, the car will lead to the vibration of bridge and the vibration of bridge will lead to the vibration of the car at the same time. This is a coupling vibration between a car and a bridge. By studying this coupling vibration, the causes leading to it will be revealed in order to find strategies to control it. A coupling vibration model of a duplex-bearing car model passing through a simply supported bridge model at a uniform velocity is set up, then using the bridge as controlled objects, an optimal control model is built and a Simulink simulation model on the basis of existing research is constructed. The control effectiveness under different velocities(up to 77.5%) is analyzed in order to prove the validity of this method.
When a moving car passes through a bridge with relatively large span, the car will lead to the vibration of bridge and the vibration of bridge will lead to the vibration of the car at the same time. This is a coupling vibration between a car and a bridge. By studying this coupling vibration, the causes leading to it will be revealed in order to find strategies to control it. A coupling vibration model of a duplex-bearing car model passing through a simply supported bridge model at a uniform velocity is set up, then using the bridge as controlled objects, an optimal control model is built and a Simulink simulation model on the basis of existing research is constructed. The control effectiveness under different velocities(up to 77.5%) is analyzed in order to prove the validity of this method.
引文
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[2]万信华,胡晓燕,郝行舟,等.非平整桥面引起大跨斜拉桥车桥耦合振动响应研究[J].振动与冲击,2007,26(2):66-71.(WAN Xinhua,HU Xiaoyan,HAO Xingzhou,et al.Research of car-bridge coupling vibration response on large span cable-stayed bridge with rough surface[J].Journal of vibration and shock,2007,26(2):66-71(in Chinese)).
[3]陈炎,黄小清,马友发.车桥系统的耦合振动[J].应用数学与力学,2004,25(4):354-358.(CHEN Yan,HUANG Xiaoqing,MA Youfa.Coupling vibration of car-bridge system[J].Applied mathematics and mechanics,2004,25(4):354-358(in Chinese)).
[4]WANG T L,HUANG D Z.Cable-stayed bridge vibration due to road surface roughness[J].Journal of structural engineering,1992,118(5):1354-1373.
[5]肖永刚,朱素红.车桥耦合系统的非线性动力分析[J].振动与冲击,2007,26(8):104-108.(XIAO Yonggang,ZHU Suhong.Non-linear kinetics analysis of car-bridge coupling system[J].Journal of vibration and shock,2007,26(8):104-108(in Chinese)).
[6]钱长照.车桥耦合振动的摄动分析方法[J].动力学与控制学报,2009,7(4):375-378.(QIAN Changzhao.Perturbation analytical method of car-bridge coupling vibration[J].Journal of dynamics and control,2009,7(4):375-378(in Chinese)).
[7]KAWATANI M,SHIMADA R.Nonstationary random response and impact of girder bridges under moving vehicles[J].Doboku gakkai ronbunshu,2010,398(10):303-309.
[8]KAWATANI M,KOMATSU S.Nonstationary random response of highway bridges under a series of moving vehicles[J].Earthquake engineering,1988,5(2):285-292.
[9]肖新标,沈火明.移动荷载作用下桥梁的系统仿真[J].振动与冲击,2005,24(1):121-123.(XIAO Xinbiao,SHEN Huoming.Simulation of bridge system under moving load[J].Journal of vibration and shock,2005,24(1):121-123(in Chinese)).
[10]张庆,史家钧,胡振东.高速车辆-桥梁结构耦合振动分析[J].振动与冲击,2003,22(2):49-52.(ZHANG Qing,SHI Jiajun,HU Zhendong.Coupling vibration analysis of high-speed car-bridge construction[J].Journal of vibration and shock,2003,22(2):49-52(in Chinese)).