陈力波, 林文峰, 谷音, 林楷奇. 基于高斯过程的简支梁桥概率性地震需求模型研究[J]. 工程力学, 2023, 40(7): 99-110, 248. DOI: 10.6052/j.issn.1000-4750.2021.11.0904
引用本文: 陈力波, 林文峰, 谷音, 林楷奇. 基于高斯过程的简支梁桥概率性地震需求模型研究[J]. 工程力学, 2023, 40(7): 99-110, 248. DOI: 10.6052/j.issn.1000-4750.2021.11.0904
CHEN Li-bo, LIN Wen-feng, GU Yin, LIN Kai-qi. RESEARCH ON PROBABILISTIC SEISMIC DEMAND MODEL OF SIMPLY SUPPORTED GIRDER BRIDGE BASED ON GAUSSIAN PROCESS[J]. Engineering Mechanics, 2023, 40(7): 99-110, 248. DOI: 10.6052/j.issn.1000-4750.2021.11.0904
Citation: CHEN Li-bo, LIN Wen-feng, GU Yin, LIN Kai-qi. RESEARCH ON PROBABILISTIC SEISMIC DEMAND MODEL OF SIMPLY SUPPORTED GIRDER BRIDGE BASED ON GAUSSIAN PROCESS[J]. Engineering Mechanics, 2023, 40(7): 99-110, 248. DOI: 10.6052/j.issn.1000-4750.2021.11.0904

基于高斯过程的简支梁桥概率性地震需求模型研究

RESEARCH ON PROBABILISTIC SEISMIC DEMAND MODEL OF SIMPLY SUPPORTED GIRDER BRIDGE BASED ON GAUSSIAN PROCESS

  • 摘要: 该文旨在提出一种新的考虑异方差性并具有较高精度的概率性结构地震需求计算方法。针对典型简支梁桥,选取结构基本周期对应的谱加速度作为地震动强度指标,桥墩位移延性系数为工程需求参数,采用多条带分析方法对桥梁有限元模型进行非线性动力时程分析,并建立其地震需求样本集。基于高斯过程回归方法,分别建立单输出和多输出两种情况下的概率性地震需求模型,并将拟合结果与传统基于线性回归的地震需求模型进行对比分析。对概率性地震需求模型作进一步应用拓展,在定义墩柱不同损伤状态极限值的基础上,基于前述两种需求模型建立了桥梁的地震易损性模型。研究结果表明:基于高斯过程的概率性地震需求模型能够较精确地反映不同地震动强度下地震需求的概率特征,较好地刻画了对数空间下地震需求的异方差性;由两种模型生成的桥梁构件和系统易损性曲线存在一定差异,而采用基于高斯过程的地震需求模型能够对桥梁的抗震性能进行更合理而精确的概率性评估。

     

    Abstract: This paper proposes a new method of probabilistic seismic demand analysis with high accuracy considering heteroscedasticity. For a typical simply supported girder bridge, the spectral acceleration corresponding to the fundamental period of bridge is chosen to reflect the ground motion intensity, and the displacement ductility coefficient of pier is selected as engineering demand parameter. A series of nonlinear dynamic time history analysis was performed on the bridge finite element model using the multiple strip analysis and the seismic demand sample set was established. Based on the Gaussian process regression method, the probabilistic seismic demand models were established for univariate and multivariate cases, and the fitting results were compared with the seismic demand models derived from the traditional linear regression. The seismic fragility models were established based on the two aforementioned seismic demand models by defining the limit values of different damage states of piers. The results show that: The probabilistic seismic demand models based on Gaussian process can reflect the probabilistic characteristics of seismic demand under different ground shaking intensities more accurately and describe the heteroscedasticity of seismic demand in logarithmic space better; there are some differences in the fragility curves of bridge components and system generated by the two models. The probabilistic seismic demand model based on Gaussian process can provide more reasonable and accurate assessment of the seismic performance of the bridge.

     

/

返回文章
返回