移动车载作用下多跨梁振动的模态空间控制  

Modal space control of multi-span beam′s vibration caused by moving vehicles

作　　者：王真[1] 程远胜[1] 

机构地区：[1]华中科技大学交通科学与工程学院,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2007年第3期86-88,共3页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：教育部留学回国人员科研启动基金资助项目(教外司留[2001]498号)

摘　　要：采用有限元法,利用车-桥单元建立了N个车辆作用下车-桥耦合系统的受控运动微分方程.采用独立模态空间控制法,通过独立控制少数模态实现了对移动车载作用下多跨梁振动的主动控制.对一列车-三跨桥梁系统计算了控制前后桥梁振动的位移动力放大系数和弯矩动力放大系数,计算结果表明独立模态空间控制能够较有效地抑制多跨梁结构的车致振动.The differential equation of governing motion caused by N＇s moving vehicles for the vehicle-bridge system is proposed through vehicle-bridge by using finite element method. An independent modal space control technique combined with optimal linear quadratic regulator was applied to control the first lower modes composing of the dynamic response of bridges. A three-span continuous beam subjected to moving vehicles is used as simulation example, and dynamic magnification factors for displacement and bending moment which is for a certain range of velocity ratio are computed respectively. Numerical results show that the proposed method can suppress the vibration of multi-span bridges caused by moving vehicles efficiently.

关 键 词：多跨梁 振动 模态空间控制 最优控制 移动车载 有限元法 

分 类 号：U411[交通运输工程—道路与铁道工程] TB535[理学—物理]