An innovative and highly efficient random vibration series of algorithms - the pseudo-excitation method (PEM) - and its effective applications in bridge dynamics are presented. PEM transforms stationary random vibration equations into simple harmonic vibration equations; and transforms non-stationary random vibration equations into ordinary equations of motion of structures subjected to deterministic time-history loading. Therefore not only are the solution processes considerably simplified, but also the computational effort is greatly reduced while the numerical results remain highly accurate. This method has now been widely used in the Chinese engineering community, and has been adopted and recommended by the Chinese official Guidelines for Seismic Design of Highway Bridges (2008). It has also been described in detail in the Vibration and Shock Handbook (2005, CRC Press) and the Bridge Engineering Handbook (2013, CRC Press). By means of PEM, 3D flutter-buffet CQC-based analysis has been successfully performed for the 1650m main-span Xihoumen bridge, the second longest suspension bridge in the world, located in the well-known typhoon region Zhou-Shan Islands, in the East China Sea. In addition, PEM has also become a widely-used research and design tool for vehicle engineering in China, including vehicle-bridge dynamic interaction problems. A finite element model for power spectral analysis of a high-speed train coach with 720924 degrees of freedom is presented. Along with a brief introduction to PEM, this presentation will also show a number of practical engineering examples which have successfully used PEM in the related research and design.