Random vibration analysis of vehicle-track-bridge system based on SSA-BP neural network
The vibration of the vehicle-track-bridge coupling system is significantly influenced by the parameters of both the track and the bridge. In view of this,the paper introduced a proxy model to analyze the effect of randomness in spring stiffness and damping within the track-bridge layers and the bridge itself on the dynamic responses of the whole system. Initially,by using a traditional numerical model of the vehicle-track-bridge system without considering the piers,2000 sample sets were generated via Monte Carlo,which formed the training set for the proxy model. The predictive performance of SSA-BP (Sparrow Search Algorithm) with BP neural network and GA-BP (Genetic Algorithm) neural network for vehicle and bridge responses was compared. Furthermore,the effects of sample size and training algorithms (Levenberg-Marquardt and Bayesian Regulation) on the prediction accuracy of SSA-BP neural networks were analyzed. By assuming a Gaussian normal distribution for the probability distribution of each random parameter,the parameters' coefficients of variation were categorized into five levels:0.05,0.10,0.15,0.20,and 0.25,respectively. The effect of each parameter's variation on the system responses was compared and analyzed based on the SSA-BP neural network. The results show that the proposed surrogate model improves computational efficiency as compared to traditional numerical computation models. The SSA-BP model outperforms the GA-BP model in predicting vehicle and bridge responses,with the GA-BP model being superior to the traditional BP model. The prediction performance of the SSA-BP model for vehicle and bridge responses using the Levenberg-Marquardt training algorithm outperforms that of the Bayesian Regulation training algorithm. In particular,the random variation of spring stiffness between the ballast and the bridge has a significant effect on the random vibration response of the bridge. The randomness of the spring stiffness between the steel rail and the ballast and the randomness of the spring stiffness between the track and the sleeper exert significant effects on the responses of the vehicle body,while the randomness of the bridge stiffness and damping has a minimal effect on the dynamic responses of the vehicle. These findings provide a basis and reference for further research into the prediction of the random vibration response of the vehicle-track-bridge system.
bridge engineeringvehicle-track-bridge systemSSA-BPrandom vibrationproxy model