为了快速合理地预测地铁沿线建筑振动响应，基于机械导纳理论，将建筑结构系统分解为传播结构和响应结构两部分。承重结构假定为杆单元模型，楼板结构考虑为板单元模型，推导各单元模型的导纳公式及其相应的矩阵表达式，进而构建车致结构振动响应模型，并结合现场测试验证了模型的可靠性和正确性。研究表明，基于导纳理论预测的结构响应与现场实测振动在时域及频域上均具有较高的吻合度；在时域上，模型计算的振动幅值和实测幅值趋于一致；在频域上，各1/3倍频程中心频率的最大误差不超过5 dB，表明所提出的车致结构振动响应模型可快速有效地预测结构振动响应，成果可为地铁沿线车致结构振动预测提供理论依据。

In order to quickly and reasonably predict the vibration response of buildings along subway lines, the building structural system is decomposed into two parts: 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 corresponding matrix expressions of each unit system are derived, and the train-induced structural vibration response model is then constructed. The reliability and correctness of the model were verified by combining it with on-site testing. The study shows that the structural responses predicted by the mobility theory-based model in both the time domain and frequency domain have a high degree of consistency with the measured vibrations; 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 the outcomes can provide theoretical support for vibration prediction along subway lines.

U231

国家自然科学基金(51908139)；广东省基础与应用基础研究基金(2022A1515010536)