Dynamics Analysis Of Vehicle-bridge Coupling Vibrations Based On MATLAB

With the rapid development of high-speed railway,the requirements of speed,safety and comfort of the passengers are more stringent. Considering the safety of the vehicle, we begin to construct more and more bridges to control the displacement of foundation settlement in order to meet the requirements of the safety, in which eighty percent of the bridge are Simple-Supported beams. In the design of high-speed railway bridge, the dynamic response of bridge under the high-speed train and the ordinary train are different, so is the bridge design, so it is practical guiding significance to research the dynamic effect of the bridge for bridge design work under high-speed train. So it's very important and more significance for research the security of vehicle-track-bridge coupling system considering actual conditions. This article main research content is as follows:1. Move the quality model was deduced, and balance equation of single axis spring mass system model, choose the Newmark method of train-bridge system equation separation iteration, and put forward the train-bridge coupling system vibration analysis steps, combining with calculation principle train-bridge coupling system analysis program is compiled.2. With 10 degrees of freedom were hanging vertical vehicle model, using finite element method is deduced two pairs wheels off bridge coupled vibration control equations of the model, and deduced the bridge control equation of coupling vibration model, write the related solution of MATLAB Program. Analyze the different speed, the train under the condition of different track irregularity random vibration characteristic of system. And it is concluded that the higher irregularity spectrum interference, the modulation function coefficient, the greater the system response, the greater the conclusion.3. First discussed under the harmonic excitation, the single degree of freedom vibration system parameters of TMD optimization design. Then train loads as a random excitation, the function of main structure with MTMD and structural vibration control modal coordinates is given priority to, new system dynamic equilibrium equation is established. Select the actual bridge, designed MTMD, then analyzes the MTMD under the control of vehicle bridge dynamic response of the system.