摘要
对预应力混凝土安全壳进行了事故内压下的可靠性分析。研究以Monte Carlo有限元模拟为基础,一方面,根据概率守恒原理,以有限的随机结果表征实际响应的概率分布;另一方面,有限元分析结合分层壳单元、混凝土损伤软化本构及割线刚度算法模拟安全壳的非线性行为,在保证模拟精度的基础上提高计算效率。以桑迪亚国家实验室的安全壳试验为案例,对可靠性分析进行说明。计算位移值与试验值的比较说明,有限元计算模型和参数基本合理。考虑材料参数随机性,通过200次有限元模拟得到结构响应的概率分布;以整体应变为失效指标,得到内压下的失效概率曲线。分析表明:在实际功能性失效和结构性失效内压下,模拟所得失效概率分别达到了72.03%和68.78%,与试验结果具有一致性。
The reliability of prestressed concrete containment vessels(PCCVs)subjected to the accidental internal pressures is analyzed.The analysis procedure is based on Monte Carlo finite element(FE)simulation.On the one hand,according to the probability conservation principle,the actual probability distribution of the response is characterized by the finite number of samples;on the other hand,the FE analysis combines the multilayered shell element,the concrete softened damage constitution,and the secant stiffness algorithm in one framework to simulate the nonlinear behavior of the PCCV accurately and efficiently.Finally,the PCCV tested at Sandia National Laboratories(SNL)is studied.The comparison of the simulated displacements with the test ones illustrates that the FE model and parameters are basically reasonable.Considering the material parameters as random variables and the global strain as the failure indicator,the probability distribution of the response is obtained by 200 FE samples,and the curve of the failure probability with the internal pressure is obtained.The results show that,the simulated failure probability reaches 72.03%and 68.78%under the functional failure and structural failure internal pressures got in the test,respectively.This is consistent with the test results.
作者
梁艳苹
冯德成
任晓丹
LIANG Yan-ping;FENG De-cheng;REN Xiao-dan(School of Civil Engineering,Tongji University,Shanghai 200092,China;School of Civil Engineering,Southeast University,Nanjing 211189,China)
出处
《工程力学》
EI
CSCD
北大核心
2023年第8期202-212,共11页
Engineering Mechanics
基金
国家自然科学基金项目(52078361,52078119)
上海市科技计划项目(21DZ1203403)。
关键词
预应力混凝土安全壳
可靠性
Monte
Carlo有限元模拟
概率守恒
分层壳
损伤本构
割线刚度算法
prestressed concrete containment vessel(PCCV)
reliability
Monte Carlo finite element simulation
probability conservation
multi-layered shell element
damage constitution
secant stiffness algorithm
作者简介
通信作者:任晓丹(1981−),男,山东人,教授,博士,博导,主要从事混凝土结构与结构计算研究(E-mail:rxdtj@tongji.edu.cn);梁艳苹(1989−),女,河北人,博士生,主要从事板壳结构非线性有限元分析及可靠性分析研究(E-mail:1630374@tongji.edu.cn);冯德成(1987−),男,江苏人,教授,博士,博导,主要从事混凝土损伤与破坏分析及可靠性分析研究(E-mail:dcfeng@seu.edu.cn).
