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作 者:陈力波[1] 林文峰 谷音[1] 林楷奇 CHEN Li-bo;LIN Wen-feng;GU Yin;LIN Kai-qi(College of Civil Engineering,Fuzhou University,Fuzhou,Fujian 350116,China)
出 处:《工程力学》2023年第7期99-110,248,共13页Engineering Mechanics
基 金:国家自然科学基金项目(51308125);福建省自然科学基金项目(2020J01478);福建省中青年教师教育科研项目(JAT190048)。
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。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.
关 键 词:桥梁工程 概率性地震需求模型 高斯过程 异方差性 地震易损性
分 类 号:U442.55[建筑科学—桥梁与隧道工程] P315.9[交通运输工程—道路与铁道工程]
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