基于向量式有限元的网壳结构地震易损性分析  

Seismic fragility analysis of reticulated shells based on vector form intrinsic finite element method

作　　者：曲激婷[1] 宋嘉诚 霍林生[1] QU Jiting;SONG Jiacheng;HUO Linsheng(School of Infrastructure Engineering,Dalian University of Technology,Dalian 116024,China)

机构地区：[1]大连理工大学建设工程学院,辽宁大连116024

出　　处：《世界地震工程》2024年第1期96-106,共11页World Earthquake Engineering

基　　金：国家重点研发项目(2016YFC0701103);国家自然科学基金项目(51778113)。

摘　　要：为解决网壳结构地震易损性研究中,增量动力分析(incremental dynamic analysis,IDA)所面临的结构非线性分析耗时长且求解困难的问题,提出了一种基于向量式有限元的IDA方法。首先,以一个Kiewitt-8型单层球面网壳为例,验证了向量式有限元方法求解结构地震响应的准确性,其次选取12个不同参数的Kiewitt-8型单层球面网壳为研究对象,并考虑材料不确定性进行IDA分析,以地震峰值加速度与结构最大节点位移比为参数,绘制了结构在地震作用下的IDA曲线和轻微破坏、严重破坏及倒塌这三种性态下的易损性曲线。结果表明:向量式有限元能高效且准确的求解网壳结构的地震响应,屋面质量和矢跨比的增加均会增加三种性态点的超越概率;对于本文的网壳结构算例,求解时间仅为传统有限元方法的1/15,误差在3%以内,屋面质量和矢跨比的改变导致地震危险性最大增加了75%。An incremental dynamic analysis(IDA)method based on vector form intrinsic finite element is proposed to solve the time-consuming and difficult calculation in the seismic fragility research of reticulated shells.Firstly,the accuracy of the vector form intrinsic finite element method is verified by a Kiewitt-8 single-layer reticulated dome example.Then,12 Kiewitt-8 single-layer reticulated dome models with different parameters are established.The IDA analysis considering the material uncertainty is carried out for them.Finally,peak ground acceleration and maximum node displacement ratio are taken as measure parameters.The seismic IDA curves are built.The fragility curves under three performance levels(immediate occupancy,collapse prevention and global instability)are drawn.The results show that the vector form intrinsic finite element can efficiently and accurately solve the seismic response of the single-layer reticulated dome structures.The increase of roof mass and rise-span ratio will increase the probability of exceeding the three performance levels.For the structure in this paper,the solution time is only 1/15 of the finite element method,the error is within 3%.The change of roof mass and rise-span ratio results in a maximum increase of 75%in seismic risk.

关 键 词：增量动力分析 单层球面网壳 向量式有限元法 非线性分析 地震易损性分析 

分 类 号：TU393.3[建筑科学—结构工程]