基于导纳理论的车致结构振动响应模型
Train-induced Structural Vibration Response Model Based on Mobility Theory
路清泉 1陈嘉梁 2邹超 3李栩铭 3马立秋 1王哲1
作者信息
- 1. 北京市轨道交通建设管理有限公司,北京 100037
- 2. 北交振安轨道科技(北京)有限公司,北京 100176;北京东方雨虹防水技术股份有限公司,北京 100176
- 3. 广东工业大学土木与交通工程学院,广州 510006
- 折叠
摘要
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模型的正确性.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5dB,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.
Abstract
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.
关键词
地铁/振动预测/导纳理论/建筑结构/结构动力学/现场实测Key words
metro/vibration prediction/mobility theory/building structure/structural dynamics/on-site measurements引用本文复制引用
出版年
2024