Journal of Jilin University(Engineering and Technology Edition) ›› 2026, Vol. 56 ›› Issue (3): 700-710.doi: 10.13229/j.cnki.jdxbgxb.20240812

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Seismic behavior of reinforced concrete frame with energy dissipation self-centering hinge joints based on endurance time method

Liang LU1,2(),Hao-tian YAN2   

  1. 1.State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China
    2.Department of Disaster Mitigation for Structures,Tongji University,Shanghai 200092,China
  • Received:2024-07-20 Online:2026-03-01 Published:2026-03-31

Abstract:

The reinforced concrete frame with energy dissipating self-centering hinge joint (EDSC-HJ) is a new type of resilient structure. Firstly, the basic construction and the modeling method of finite element model for EDSC-HJ frame are introduced. Secondly, the fundamental principle of the endurance time method is presented. The seismic performance of the EDSC-HJ frame and the conventional reinforced concrete frame (RCF) are compared through the utilization of the seismic time-history method. The results show that the dynamic responses of EDSC-HJ frame with different joint stiffness changes significantly under earthquake action when the relative rotational stiffness ratio of nodes is within the range of [0.2, 0.5], and excessive node stiffness will lead to the seismic performance of EDSC-HJ frame approaching that of RCF structures. Under rare earthquakes, the maximum base shear responses and the maximum acceleration responses of the EDSC-HJ frame decrease by 68% and 76%, respectively, compared to the RCF structure. The maximum inter story displacement responses of the EDSC-HJ frame increases by 19%, which is merely 31.5% of the design limit of 1/20. Compared with the RCF, the repairability of the EDSC-HJ frame under high intensity is significantly improved.

Key words: energy dissipating self-centering hinge joint, finite element analysis, endurance time method, seismic performance, seismic vulnerability

CLC Number: 

  • TU351

Fig.1

Energy dissipating self-centering hinge joint"

Fig.2

EDSC-HJ frame test model(mm)"

Fig.3

Finite element model of EDSC-HJ frame"

Fig.4

Dynamic responses of EDSC-HJ frame with dampers under Taft wave"

Table 1

Comparison of simulated and experimental modal frequencies"

阶次无控结构有控结构
试验模拟误差/%试验模拟误差/%
f1/Hz0.9220.9604.121.0861.0364.60
f2/Hz0.9420.9804.041.1951.1295.85
f3/Hz14.63214.0583.9215.55015.1662.46

Fig.5

Endurance time accelerations"

Fig.6

Acceleration response spectrums of ETAs"

Fig.7

Layout plan(mm)"

Fig.8

Relationship curve between base damping coefficient and maximum inter story displacement of EDSC-HJ frame without dampers and S"

Fig.9

Relationship curve between base damping coefficient and maximum inter story displacement of EDSC-HJ frame with dampers and the initial stiffness of dampers"

Table 2

Seismic responses of EDSC-HJ frame and RCF under frequent, fortified, and rare earthquakes"

地震烈度耐震时间/s结构类型最大基底剪力/kN最大加速度/(m·s-2最大层间位移角/%
多遇地震4.0RCF7111.590.12
EDSC-HJ3120.680.13
设防地震10.7RCF1 7503.800.55
EDSC-HJ6301.170.64
罕遇地震21.4RCF2 8807.581.36
EDSC-HJ9221.701.62

Fig.10

Comparison of residual displacement X direction between EDSC-HJ frame with dampers and RCF"

Fig.11

Hazard curve of ground motions"

Fig.12

Acceleration response spectrums of ETAs"

Table 3

Limit states under different seismic performance levels"

最大层间位移角对应的极限状态残余层间位移角对应的损伤极限状态

立即入住RD1

0θr0.2%

可修复RD2

0.2%θr0.4%

不可修复RD3

0.4%θr0.6%

生命安全RD4

0.6%θr1.0%

立即入住MD10θmax0.5%PL(1,1)PL(1,2)PL(1,3)PL(1,4)
MD20.5%θmax1.0%PL(2,1)PL(2,2)PL(2,3)PL(2,4)
生命安全MD31.0%θmax2.0%PL(3,1)PL(3,2)PL(3,3)PL(3,4)
避免倒塌MD42.0%θmax5.0%PL(4,1)PL(4,2)PL(4,3)PL(4,4)

Fig.13

Histogram of vulnerability curves for EDSC-HJ frame with dampers and RCF"

Table 4

The failure probability of RCF and EDSC-HJ frame under different seismic intensities"

工况失效概率PE
Sa(T1)=Sa(T1)=Sa(T1)=Sa(T1)=Sa(T1)=Sa(T1)=Sa(T1)=Sa(T1)=
0.0g0.2g0.4g0.6g0.8g1.0g1.2g1.4g
有控PL(1,2)0.00000.00000.40350.92330.98560.99010.99500.9975
RCF0.00000.00680.96980.97940.99980.99991.00001.0000
有控PL(2,2)0.00000.00000.00100.16780.60120.80010.88970.9350
RCF0.00000.00680.03560.75960.94980.98220.99150.9965
有控PL(3,2)0.00000.00000.00000.00550.26550.33440.45590.6156
RCF0.00000.00680.00030.10490.62320.75860.86950.9369
有控PL(4,2)0.00000.00000.00000.00520.21530.30600.47980.5448
RCF0.00000.00680.00030.10490.63350.74330.83420.9324
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