Train-induced Structural Vibration Response Model Based on Mobility Theory
To predict the vibration response of buildings along subway lines quickly and reasonably,a building structural system is decomposed into two parts,namely,a propagation structure and a response structure,based on the theory of mechanical mobility.The bearing structure is assumed to be a beam element model,and the slab structure is considered a plate element model.The mobility formula and the corresponding matrix expressions for each unit system are derived,and a train-induced structural vibration response model is constructed.The reliability and accuracy of the model are validated through on-site testing,showing that the predicted structural responses align well with measured vibrations in both time and frequency domains.In the frequency domain,the maximum error of the center frequencies of each 1/3 octave band does not exceed 5 dB,indicating that the proposed train-induced structural vibration response model can quickly and effectively predict the structural vibration response and that the outcomes can provide theoretical support for vibration prediction along subway lines.
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