基于Poisson过程的桥梁交通激励模型及结构动响应分析

POISSON PROCESS-BASED TRAFFIC EXCITATION MODEL FOR HIGHWAY BRIDGES AND ITS STRUCTURAL DYNAMIC RESPONSE ANALYSIS

提出一种基于Poisson过程的桥梁交通激励模型,建立了该激励模型的谱密度矩阵,并研究了这种激励模型的性质;基于随机振动理论和平稳随机过程理论,分析了这种激励模型作用下桥梁结构的动响应。数值分析表明:该模型能反映桥梁交通激励的空间相关性,接近桥梁所受实际交通荷载,对桥梁系统识别研究具有重要的理论意义和应用价值。

A stochastic model of traffic excitation was developed based on Poisson process.The spectrum density matrix of the proposed model was constructed and its properties are investigated.The frequency domain and time domain responses of a highway bridge subjected to the proposed excitation model were analysed with the theory of random vibration in consideration of the characteristics of stationary random process.Numerical example shows that the proposed model can response the spatial correlation of the traffic excitation and tallies with the real traffic excitation that the bridge is subjected to.