考虑楼层相关性的框架结构地震易损性分析

doi:10.13229/j.cnki.jdxbgxb20181138

摘要/Abstract

摘要：

为了在框架结构易损性分析中考虑各楼层地震需求之间相关性的影响，提出了考虑各楼层地震需求相关性的框架结构易损性分析方法。采用多元Copula函数方法求出各楼层地震需求的联合分布函数，得到框架结构的易损性曲线，并与一阶界限法和Bootstrap重抽样法的分析结果进行了对比。结果表明：采用本文的框架结构易损性分析方法得到的结果，均位于一阶界限法两个界限之间，且与Bootstrap重抽样法的结果吻合较好，这一定程度上证明了本文方法的准确性。

关键词: 工程结构, 框架结构, 多元Copula函数, 非线性相关关系, Bootstrap重抽样法, 联合概率分布函数

Abstract:

In order to consider the correlation between each floor′s seismic demand in the vulnerability analysis of the frame structure, a frame structure vulnerability analysis method, which can consider the correlation of each floor seismic demand was proposed. The multiple Copula function method was used to deal with the correlation and edge distribution function of each floor’s seismic demand respectively. The incremental dynamic analysis method was used to get the vulnerability curve of each floor. The edge distribution function of each floor’s seismic demand was obtained by using the kernel density estimation method, which is a nonparametric method, and the corresponding parameters of the alternative Copula function were obtained. Then the optimal Copula function was selected by the minimum distance method, and the joint distribution function of each floor′s seismic demand was obtained, and the vulnerability curves of the frame structure were obtained. The results of the first order boundary method and the Bootstrap resampling method were compared. It is shown that the results of the frame structure vulnerability analysis method proposed in this paper are both located between the two boundaries of the first order boundary method, and are in good agreement with the results of the Bootstrap resampling method, which proves the accuracy of the method to a certain extent.

Key words: engineering structure, frame structure, multivariate Copula function, nonlinear correlation, Bootstrap resampling method, joint probability distribution function

中图分类号:

TU375

王秀振,钱永久,邵长江,宋帅. 考虑楼层相关性的框架结构地震易损性分析[J]. 吉林大学学报(工学版), 2020, 50(1): 202-209.

Xiu-zhen WANG,Yong-jiu QIAN,Chang-jiang SHAO,Shuai SONG. Seismic vulnerability analysis of frame structure considering floor correlation[J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(1): 202-209.

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随机变量	符号	均值	变异系数	分布类型
钢筋弹性模量/MPa	E _s	228559	0.033^[13]	正态分布
型钢弹性模量/MPa	E _ss	228559	0.033	正态分布
混凝土弹性模量/MPa	E _c	33904	0.08^[14]	正态分布
钢筋屈服强度/MPa	f _y	384	0.078^[15]	对数正态分布
型钢屈服强度/MPa	f _ys	384	0.078	正态分布
混凝土强度/MPa	f _c	34.82	0.14^[15]	正态分布
阻尼比	D _A	0.05	0.2^[16]	正态分布
结构质量/(kN·m^-2)	M _s	6	0.1^[15]	正态分布

地震	记录次数	发生年份	震级
Taiwan ART1(45)	34	1986	7.3
Hector Mine	6	1999	7.1
San Fernando	6	1971	6.6
Northridge?01	44	1994	6.7
Kocaeli_ urkey	4	1999	7.5
Santa Barbara	2	1978	5.9
Mammoth akes?06	2	1980	5.9
Cape Mendocino	6	1992	7.0
Big Bear?01	16	1992	6.5
Southern Calif	2	1952	6.0
Friuli_ Italy?02	4	1976	5.9

P _GA	Gauss Copula	t?Copula	P _GA	Gauss Copula	t?Copula
0.1g	0.163	0.126	0.9g	0.246	0.215
0.2g	0.237	0.162	1.0g	0.220	0.195
0.3g	0.297	0.202	1.1g	0.205	0.153
0.4g	0.325	0.236	1.2g	0.186	0.134
0.5g	0.273	0.215	1.3g	0.212	0.145
0.6g	0.232	0.182	1.4g	0.217	0.164
0.7g	0.251	0.221	1.5g	0.232	0.182
0.8g	0.256	0.213

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