Based on the theory of energy random analysis for train derailment,a method to analyze the safety and riding comfort of train on bridges is established.

Based on the theory of energy random analysis for train derailment, train running safety on Hujiawan bridge was calculated.

The random energy analysis theory of train derailment on the bridge is more presented, and its major contents include as follows: Geometric rules of train derailment; establishment of the spatial vibration equation set of the train-bridge time-variant system reflecting contact statues an.

Through extensive survey and study and by means of mathematical statistics, stochastic analysis theory, technica.

Based on the theory of energy random analysis of train derailing,the safety of high-speed train traveling on the 80-m main span continuous girder bridge of Tianxingzhou Bridge is analyzed,the formula of safety factors of the bridge against train derailing is proposed and the safety factors are calculated.

Based on the theory of energy random analysis for train derailment,the safety of running trains on five bridges whose lateral vibration amplitudes surpassed limit values given by the code for rating existing railway bridges was analyzed.

The main existing problems in studying derailment at home and abroad are first pointed out in this paper, and then the energy random analysis method of train derailment is presented.