Research On Vibration Control Of Bridges Subjected To Moveing Loads

In recent years, problems about coupling vibration of vehicle-bridge have attracted extensive attention of scholars worldwide. When the vehicles pass the bridge, it will cause the vibration of the bridge structure, and thus cause the vibration of the vehicle. The problem of this kind of interaction is the coupling vibration of vehicles and bridges. With the operation of the high-speed train of the new generation, it takes not only the carrying capacity but also the running speed to a new level. Therefore, people have new demands for the safety and comfort level of the railway bridge structures. However, due to the vibration equation for vehicle-bridge is simultaneous differential equations when coupled each other, it brings a lot of difficulties when dealing with the problem. The software of MATLAB is powerful in numerical calculation function and graphics processing features, which have been widely used in this fields, it provides researcher wonderful tools for computing the numerical solution about coupling vibration of vehicle-bridge problems. In this paper, according to the program in MATLAB written by myself, use numerical solution of differential equation principle in Newmark-β method to calculate the structural dynamic response of the coupling of the vehicle-bridge under TMD control, and track irregularity effect is ignored.The content of research as follows:(1) According to the structural dynamics theory, the coupling vibration of vehicle-bridge is analyzed. The bridge structure is simplified into a mode with simply supported beams and a dynamical model is built when half of the train body is on the bridge. In this case, a differential equation of the motion of the coupling vehicle-bridge can be deduced.(2) According to the powerful numerical calculation function, combined with Newmark-β method, solving the vibration differential equation of the coupling vehicle-bridge, analyzed the influence of the speed of the passing marshalling trains on the the simply supported beam bridge vertical vibration before the setting up of TMD.(3) Deducing TMD vibration attenuation theory, building a vibration equation on vehicle-bridge-TMD coupling dynamical system when there is only one TMD set up in the middle of the bridge. Adjusting the formula with Den Hartog parameter, and study the TMD control effect when the marshalling trains passing by.(4) Study on the control effect on the vehicle-bridge coupling vibration when the train is passing by, under the situation that several TMD with a same parameter are set up on the simply supported beam bridge.(5) Analyze and compare study on stability before and after the TMD control in a simply supported beam vehicle-bridge coupling vibration.