Seismic performance of FRP-confined reinforced concrete columns with different concrete strength
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摘要: 为了研究纤维增强树脂复合材料(FRP)布约束不同强度混凝土配筋柱的抗震性能,对4根约束柱及2根对比柱进行了低周反复荷载作用下的拟静力试验研究,探讨了混凝土强度和FRP种类等参数对加固柱抗震性能的影响。试验结果表明,加固构件均发生弯曲破坏,其承载、延性和耗能能力均有提高。且当柱混凝土强度大幅提高时,其延性和耗能指标较未加固前的提高率上升明显。在等围压条件下,玄武岩纤维布(BFRP)和碳纤维布(CFRP)约束柱的承载力相近,对于加固普通强度混凝土柱,使用BFRP较CFRP会得到更高的延性和耗能能力提升,但对于混凝土强度等级高至C50的柱,CFRP约束后柱的抗震性能略好。最后分别提出了针对不同FRP加固钢筋混凝土柱的骨架曲线模型,且基于更广泛混凝土强度、纵筋配筋率和轴压比范围下的数值计算结果也验证了试验结论。
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关键词:
- 纤维增强树脂复合材料 /
- 约束柱 /
- 混凝土强度 /
- 抗震性能 /
- 骨架曲线
Abstract: To investigate the seismic performance of fiber reinforced polymer (FRP) confined reinforced concrete columns with different concrete strength, the quasi-static test was carried out on four confined columns and two control columns under low cyclic lateral load. The influence of parameters such as concrete strength and FRP type on the test results was investigated. The test results show that the columns have flexural failure after confinement. The strength, ductility and energy dissipation capacity of columns are enhanced. The increments of ductility and energy dissipation indexes are observed to improve significantly when the concrete strength of confined columns increases greatly. With the same confining pressure, the peak loads of basalt fiber reinforced polymer (BFRP) and carbon fiber reinforced polymer (CFRP) confined columns are nearly same. The BFRP-confined normal-strength concrete column has higher ductility and energy dissipation capacity. But the seismic performance of CFRP-confined concrete columns is slightly better when the concrete strength grade reaches C50. The skeleton curve models were proposed for different FRP confined columns. The results of parameter analysis verify the experimental conclusions based on the wider range of concrete strength, longitudinal reinforcement and axial compression ratio.-
Key words:
- FRP /
- confined columns /
- concrete strength /
- seismic performance /
- skeleton curve
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图 9 BFRP和CFRP约束RC柱截面应力-应变分布
Figure 9. Sectional stress and strain distribution of BFRP and CFRP-confined RC columns
D—Diameter of section; dx—Width of concrete strip; h—Height of concrete compression zone; x—Distance from concrete strip to the top of section; $ \varepsilon _{{\text{cc}}}^{{'}} $—Maximum strain of concrete edge in compression zone; $ \varepsilon _{\text{c}}' $—Strain of concrete strip; $ {\varepsilon _{{\text{s}}i}} $—Strain of the ith row of reinforcements; M—Bending moment of section; N—Axial load of section; $ \sigma _{\text{c}}^{{'}} $—Stress of concrete strip; $ {\sigma _{{\text{s}}i}} $—Stress of the ith row of reinforcements; Asi—Area of the ith row of reinforcements
表 1 BFRP和CFRP约束RC柱主要设计参数
Table 1. Main design parameter of BFRP and CFRP-confined RC columns
Specimen Axial load N/kN FRP layer fcu/MPa U-S25 252.3 – 31.4 U-S50 489.9 – 57.8 B3-S25 252.3 3-layer BFRP 31.4 B3-S50 489.9 3-layer BFRP 57.8 C1-S25 252.3 1-layer CFRP 31.4 C1-S50 489.9 1-layer CFRP 57.8 Notes: fcu—Concrete compressive strength; U—Unconfined; B or C—BFRP or CFRP; S—Concrete strength. The numeral after B or C represents the number of FRP layers. The numeral after S denotes grade of concrete strength. 表 2 钢筋的力学性能指标
Table 2. Mechanical properties of reinforcements
Diameter
/mmStrength grade Yield strength
fy/MPaUltimate strength
fu/MPaElastic modulus
Es/GPaDuctility
εu/%18 HRB400 477.3 626.5 208.2 30.0 6 HPB300 393.3 519.6 215.0 25.5 表 3 FRP布的力学性能指标
Table 3. Mechanical properties of FRP sheets
Type Thickness
t/mmTensile strength
ffrp/MPaElastic modulus
Efrp/GPaRupture strain
εfrp/%BFRP 0.107 1857.3 79.4 2.4 CFRP 0.167 3629.9 245.5 1.5 表 4 BFRP和CFRP约束不同强度混凝土配筋柱的抗震试验结果
Table 4. Seismic test results of BFRP and CFRP-confined RC columns with different concrete strength
Specimen Yield point Peak point Ultimate point μΔ Esum
/
(kN·mm)ξe Δy/mm Py/kN Δc/mm Pc/kN Δu/mm Pu/kN U-S25 14.65 64.33 29.94 78.67 46.34 66.87 3.17 37465 0.322 U-S50 11.94 79.42 19.96 101.12 30.71 85.95 2.57 36684 0.336 B3-S25 18.15 73.68 89.92 97.71 123.92 83.06 6.91 278986 0.348 B3-S50 15.02 101.51 34.96 122.56 91.40 104.18 6.13 210566 0.377 C1-S25 17.40 71.38 89.90 98.40 112.46 83.64 6.64 236945 0.344 C1-S50 15.49 99.87 49.96 124.40 93.66 105.74 6.14 240994 0.380 Notes: Δy—Yield placement; Py—Yield load; Pc—Peak load; Δc—Peak placement; Pu—Ultimate load; Δu—Ultimate displacement; μΔ—Displacement ductility factor; Esum—Total accumulative dissipated energy at the ultimate state; ξe—Equivalent viscous damping ratio at the ultimate state. 表 5 BFRP和CFRP约束RC柱计算与试验结果比较
Table 5. Comparison between calculated and test results of BFRP and CFRP-confined RC columns
Specimen Pc, cal
/kNPc, exp/kN Pc, exp/Pc, cal Δu, cal
/mmΔu, exp
/mmΔu, exp/Δu, cal U-S25 72.66 78.67 1.08 48.20 46.34 0.96 U-S50 93.98 101.12 1.08 33.97 30.71 0.90 B3-S25 86.07 97.71 1.14 121.64 123.92 1.02 B3-S50 111.64 122.56 1.10 103.55 91.40 0.88 C1-S25 85.02 98.40 1.16 115.23 112.46 0.98 C1-S50 110.67 124.40 1.12 102.17 93.66 0.92 Notes: Pc, cal—Calculated peak load; Pc, exp—Experimental peak load; Δu, cal—Calculated ultimate displacement; Δu, exp—Experimental ultimate displacement. 表 6 BFRP和CFRP约束RC柱计算参数及结果
Table 6. Calculated parameters and results of BFRP and CFRP-confined RC columns
Group Specimen FRP layer fcu/
MPaD/
mmρs/
%n Py,cal/
kNΔy,cal/
mmPc,cal/
kNIncr. of Pc,cal/% Δu,cal/
mmIncr. of
Δu,cal/%Concrete strength NU-S15 D18 A3 – 22.4 18 2.16 0.3 49.94 10.15 64.56 – 54.77 – NU-S25 D18 A3 – 31.3 18 2.16 0.3 55.63 9.96 72.66 – 48.20 – NU-S50 D18 A3 – 57.8 18 2.16 0.3 75.37 8.74 93.98 – 33.97 – NU-S60 D18 A3 – 69.7 18 2.16 0.3 76.86 7.88 102.37 – 28.37 – NB3-S15 D18 A3 3-layer BFRP 22.4 18 2.16 0.3 62.55 11.33 75.00 16.2 137.94 151.9 NB3-S25 D18 A3 3-layer BFRP 31.3 18 2.16 0.3 73.04 11.16 86.17 18.6 122.18 153.5 NB3-S50 D18 A3 3-layer BFRP 57.8 18 2.16 0.3 95.54 10.48 112.14 19.3 103.93 205.9 NB3-S60 D18 A3 3-layer BFRP 69.7 18 2.16 0.3 101.46 10.19 122.17 19.3 84.50 197.8 NC1-S15 D18 A3 1-layer CFRP 22.4 18 2.16 0.3 63.72 11.11 74.04 14.7 129.78 137.0 NC1-S25 D18 A3 1-layer CFRP 31.3 18 2.16 0.3 75.21 11.04 85.02 17.0 115.23 139.1 NC1-S50 D18 A3 1-layer CFRP 57.8 18 2.16 0.3 88.99 10.32 110.67 17.8 102.17 200.8 NC1-S60 D18 A3 1-layer CFRP 69.7 18 2.16 0.3 104.53 10.01 120.41 17.6 82.35 190.3 Longitudinal reinforcement
ratioNU-S25 D22 A3 – 31.3 22 3.23 0.3 75.38 10.35 87.96 – 52.48 – NU-S50 D22 A3 – 57.8 22 3.23 0.3 87.81 8.40 107.94 – 36.78 – NB3-S25 D22 A3 3-layer BFRP 31.3 22 3.23 0.3 90.82 11.61 105.82 20.3 128.96 145.7 NB3-S50 D22 A3 3-layer BFRP 57.8 22 3.23 0.3 113.63 10.75 137.83 27.2 108.20 194.2 NC1-S25 D22 A3 1-layer CFRP 31.3 22 3.23 0.3 91.05 11.35 106.11 20.6 123.56 135.4 NC1-S50 D22 A3 1-layer CFRP 57.8 22 3.23 0.3 113.43 10.65 135.74 25.8 107.48 192.2 Axial compression
ratioNU-S25 D18 A9 – 31.3 18 2.16 0.9 71.03 9.70 84.42 – 31.42 – NU-S50 D18 A9 – 57.8 18 2.16 0.9 97.86 9.09 108.01 – 23.53 – NB3-S25 D18 A9 3-layer BFRP 31.3 18 2.16 0.9 102.43 10.39 113.18 34.1 108.04 243.9 NB3-S50 D18 A9 3-layer BFRP 57.8 18 2.16 0.9 123.28 10.17 145.08 34.3 83.15 253.4 NC1-S25 D18 A9 1-layer CFRP 31.3 18 2.16 0.9 98.86 10.48 113.62 34.6 105.40 235.5 NC1-S50 D18 A9 1-layer CFRP 57.8 18 2.16 0.9 127.28 10.14 145.65 34.8 83.91 256.6 Notes: N—Numerical calculated column; fcu—Concrete compressive strength; D—Diameter of longitudinal reinforcement; ρs—Longitudinal reinforcement ratio; n—Axial compression ratio; Py,cal—Calculated yield load; Δy,cal—Calculated yield displacement; Pc,cal—Calculated peak load; Δu,cal—Calculated ultimate displacement; Incr.—Increment in performance index after FRP confinement. -
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