Random analysis of coupled vehicle–bridge systems with local nonlinearities based on explicit time-domain method

Based on the explicit time-domain method, an efficient analysis algorithm is developed for random vibration of coupled vehicle–bridge system with local nonlinear components. In this work, divided into two subsystems, including linear bridge subsystem and vehicle subsystem. Firstly, using equivalent linearization technique, linearized constructed hysteretic suspension spring at a given time instant. Then, expressions responses are corresponding to contact forces, respectively. Further, expression forces derived in consideration compatibility condition. Lastly, dimension-reduction can be carried out based method. The numerical example about under irregular excitation investigated, results indicate that proposed approach feasibility.