Two kinds of situations were discussed respectively on the narrowband random loading and the broadband random loading.

Calculation of structural fatigue life under broad band random loading spectrum;

Based on Dirlik′s probability density function of rain-flow stress cycle range,considered the S—N curve in the long life range,an analytical solution of calculating structural fatigue life under broad band random loading spectrum is established by using the incomplete Г function,in which a fast calculating structural fatigue life method is given by using the frequency domain analytical way.

Two kinds of situations were discussed respectively on the narrowband random loading and the broadband random loading.

For this purpose,several assumption are pre-determined, including a close relationship between the average and stochastic loadsof a single pick.

On the foundation of the theory which is about the single pick's average load, analyzed loads's probability distribution and relevance when a single pick cuts various coal rock, on this basis, Utilizing the stochastic process theory ,set up the mathematical model about the single pick's stochastic loads.

Simulation study of random loads on a cutting head of roadheader;

Statistics analysis and simulation of random loads for bridges;

Model to realize the remote parameter control of random load;

Structural responses to random load and coherent scale;

Under the consideration of the random property of physical parameters of strucral material and its loads, computing expression of numerical feature of dynamic response is developed and a solving process of dynamic response analysis for structure with randion parameters under random loads is advanced.

Strength degradation model is applied for predicting shear fatigue life of asphalt mixture under random loading spectrum.