In this paper, the mean square deviation σ of truck side frame transverse vibration wave is calculated statistically by using a numerical method of engineering probability analysis, and on the basis of field testing for the σ value of locomotive, empty and loaded wagon.

With the artificial bogie crawl waves as lateral vibrating source and the irregularity function presented by former Soviet Union as vertical vibrating source, results of stochastic analysis on space vibration of the quasi high speed train track time varying system are obtained.

As the premise and basis of the train derailment research, the lateral vibration wave of train frame, commonly called as train crawl wave, is of great significance to be analyzed.

The key to predict the vibration responses of the vehicle-bridge system is to get the artificial crawl waves which are very close to the real measured crawl waves.

by making use of the up-to-date vibration in our country andthose of wheelsets lateral load of high-speed train in other country the artificial crawl wave of high speed train frame is simulated at random in thecontrol of energy deviation a: according to random vibration energy thesis.

thus the artificial crawl wave of vehicle frame is set up.

In this paper,numbers of analysis are carried out for the influence of hunting wave on the lateral vibration of the deck steel plate bridges under input of random artificial hunting waves.