RIME-VMD-BiLSTM: A surrogate model for seismic response prediction of nonlinear vehicle-track-bridge system

Han-yun Liu , Zi-yi Wang , Yan Han , Na-ya Zhou , Jian-feng Mao , Li-zhong Jiang

Journal of Central South University ›› 2025, Vol. 32 ›› Issue (10) : 4073 -4091.

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Journal of Central South University ›› 2025, Vol. 32 ›› Issue (10) :4073 -4091. DOI: 10.1007/s11771-025-6079-z
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RIME-VMD-BiLSTM: A surrogate model for seismic response prediction of nonlinear vehicle-track-bridge system

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Abstract

This paper proposed a RIME-VMD-BiLSTM surrogate model to rapidly and precisely predict the seismic response of a nonlinear vehicle-track-bridge (VTB) system. The surrogate model employs the RIME algorithm to optimize the variational mode decomposition (VMD) parameters (k and α) and the architecture and hyperparameter of the bidirectional long- and short-term memory network (BiLSTM). After comparing different combinations and optimization algorithms, the surrogate model was trained and used to analyze a typical 9-span 32-m high-speed railway simply supported bridge system. A series of numerical examples considering the vehicle speed, bridge damping, seismic intensity, and training strategy on the prediction effect of the surrogate model were conducted on the extended OpenSees platform. The results show that the BiLSTM model performed better than the LSTM model, whereas the prediction effects of the single-LSTM and BiLSTM models were relatively poor. With the introduction of the VMD and RIME optimization techniques, the prediction effect of the proposed RIME-VMD-BiLSTM model was excellent. The abovementioned factors had a significant influence on the seismic response of a VTB system but little impact on the prediction effect of the surrogate model. The proposed surrogate model exhibits notable transferability and robustness for predicting the VTB’s nonlinear seismic response.

Keywords

seismic response prediction / vehicle-track-bridge system / surrogate model / BiLSTM neural network / OpenSees platform

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Han-yun Liu, Zi-yi Wang, Yan Han, Na-ya Zhou, Jian-feng Mao, Li-zhong Jiang. RIME-VMD-BiLSTM: A surrogate model for seismic response prediction of nonlinear vehicle-track-bridge system. Journal of Central South University, 2025, 32(10): 4073-4091 DOI:10.1007/s11771-025-6079-z

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