Simulation of bridge stochastic wind field using multi-variate Auto-Regressive model

Based on the natural wind properties and the correlativity of nodal wind speed time history, a multi-variate auto-regressive (MVAR) model was used to simulate the time history of fluctuating wind for the main beam and bridge pier, and FPE and AIC rules were employed to determine the order of MVAR model, then related problems such as auto-regressive sequence and power spectrum density were discussed. Taking the Baiyang River Bridge on the Second Lanzhou-Urumqi railway as an example, the wind speed time histories were simulated with the MVAR model. The results show that the simulated power spectrum density is consistent with the target one when the model order is equal to 4, however, it shows obvious deviation when the auto-regressive sequence is reversed.