The fatigue life prediction and reliability analysis of dynamic systems under random excitement are important topics in modern engineering design. However, the stress power spectra density of a component in a dynamic system must be known when one predicts its fatigue life and analyzes its reliability. With the rapid development of computer technology and numerical computation theories, it has been possible to simulate stress power spectra density of dynamic systems. Based on this, a method of simulating computation for the fatigue life prediction of a dynamic structure is presented. It depended on some simulating equations of the stress power spectra density of the structure and the fatigue life prediction which was obtained in this paper. By this way, as an example, the virtual design of the fatigue life and reliability analysis for the CW-200k vehicle truck was developed. The method is suitable not only for the running dynamic structure but also for newly designed structures.Keywords: random vibration system, stress power spectral density, fatigue life prediction, virtual design.Introduction. The fatigue life prediction and reliability analysis of dynamic systems under random excitement are important topics in modern engineering design [1][2][3][4][5][6][7][8]. The vibration characteristics of fatigue damage of beam-type structural components has been researched [9, 10] and a computational and experimental assessment of the sensitivity of structural materials to stress concentration under high-cycle asymmetrical loading has been performed [11]. A numerical calculation of the frequencies of natural vibrations of beams with a cross section varying linearly in height under different conditions of fixing their ends is presented [12]. However, the stress power spectral density of a component in a dynamic system must be known when one predicts its fatigue life and analyzes its reliability. A traditional way is to measure the stress power spectral density, which has played an important role in practice [4]. However, the stress power spectral density of a dynamic system will change with the alteration of the structure and dynamic parameters of a system. So the engineering application in this way is limited. Moreover, one is not able to obtain the stress power spectral density of a new dynamic system before it has been designed. With the rapid development of computer technology and numerical computation theories, it has been possible to simulate stress power spectral density of dynamic systems. Based on this, the method of simulating stress power spectral density is put forward in this paper, and as an example the fatigue life prediction and reliability analysis of vehicle truck are made. Computational Method of Stress Power Spectral Density. Random Response Spectra of Dynamic System Computation [1, 2]. In general, the vibration equation of a linear system can be written in matrix form as