| With the development of Chinese high-speed and heavy-haul railway, the research of track irregularity is more important. And in-depth research of track irregularity needs many discipline knowledge. This paper, based on the engineering practice about track irregularity’s text description. In order to intuitive, accurate understanding of the var-ious types of track irregularity. Established the three-dimensional coordinate system gave the definition of the track irregularity.Track irregularity spectrum is an effect way to describe track irregularity. This paper introduced the track irregularity power spectrum and its mathematical definition, physical meaning. Meanwhile introduce the domestic and overseas track irregularity spectrum.Trigonometric series method based on the power spectrum densities was applied in track irregularity numerical simulation. This paper mainly discussed the variety of random generation algorithm’s influence on the simulation process and result. And the efficiency of the algorithm was analyzed. Meanwhile put forward some numerical simulation evaluation standard. |