随机地震作用下隧道动力响应的概率密度演化分析  

Probabilistic density evolution analysis of dynamic response of tunnels under stochastic earthquakes

作　　者：张冬梅[1,2] 郭力 申轶尧 黄忠凯 ZHANG Dongmei;GUO Li;SHEN Yiyao;HUANG Zhongkai(College of Civil Engineering,Tongji University,Shanghai 200092,China;College of Civil Engineering and Water Resoures,Qinghai University,Xining 810016,China)

机构地区：[1]同济大学土木工程学院,上海200092 [2]青海大学土木水利学院,青海西宁810016

出　　处：《岩土工程学报》2024年第S02期21-25,37,共6页Chinese Journal of Geotechnical Engineering

基　　金：国家重点研发计划课题(2022YFC3800905);国家自然科学基金项目(52108381,52238010,52090082);上海市“科技创新行动计划”优秀学术/技术带头人计划项目(22XD1430200);同济大学学科交叉联合攻关项目(2022-3-ZD-07);青海省科学技术厅基础研究计划项目(2023-ZJ-926M)。

摘　　要：由于地震动的随机性特征,确定性方法难以完全考虑地震动复杂随机性特点,采用随机分析方法研究隧道结构的地震响应对地下结构抗震设计具有重要的现实意义。以软土场地中圆形隧道结构为研究对象,建立典型工程场地下土体-隧道整体非线性动力相互作用分析模型,利用随机地震动模型生成符合抗震设计规范要求的非平稳地震动,将概率密度演化分析方法引入到隧道结构抗震分析中,初步探讨了隧道结构抗震性能概率密度演化特征,并以隧道倾斜角为抗震性能指标,利用概率密度演化方法求解隧道结构响应的概率密度函数,得到隧道在无破坏、轻微破坏、中等破坏和严重破坏时隧道倾斜角的超越概率。研究结果表明:隧道倾斜角在四种破坏状态下的超越概率分别为98.88%,86.10%,30.90%和3.70%;提出的概率密度演化方法可以准确获取隧道倾斜角瞬时概率信息,为研究隧道结构抗震性能的概率演化特征提供了新的思路和途径。Due to the stochastic characteristics of ground motion,it is difficult for the deterministic method to completely consider the complex stochastic characteristics of ground motion.It is of great practical significance to study the seismic response of tunnel structures by using the stochastic analysis method for the seismic design of underground structures.In this study,the research object is a typical circular tunnel structure in soft soils.First,a nonlinear interaction analysis model for the underground soil tunnel in a typical project site is established.Then,a random seismic model is used to generate a non-stationary seism that matches the requirements of the seismic design code.A probability density evolution analysis method is introduced into the seismic analysis of the tunnel structure,which initially explores the evolution characteristics of the probability density of its seismic performance.Using the tunnel inclination angle as the seismic performance index,the probability density function of the tunnel structural response is solved by using the probability density evolution method,and the exceedance probabilities of the tunnel inclination angle are obtained when the tunnel has no damage,slight damage,moderate damage and severe damage.The results show that the exceedance probabilities of the tunnel inclination angle in the four damage states are 98.88%,86.10%,30.90%and 3.70%,respectively.The proposed probability density evolution method can accurately obtain the instantaneous probability information of the tunnel inclination angle,and provide a new prospect for the study on the probability evolution characteristics of seismic performance of the tunnel structures.

关 键 词：隧道结构 概率密度演化方法 随机地震 动力响应 超越概率 

分 类 号：TU435[建筑科学—岩土工程] TU93[建筑科学—土工工程]