在役混凝土T梁疲劳刚度退化及寿命预测方法

doi:10.13229/j.cnki.jdxbgxb.20211238

摘要/Abstract

摘要：

为获取在役混凝土T梁疲劳刚度退化规律，开展疲劳寿命预测，基于损伤力学理论构建了考虑开裂损伤的混凝土T梁阶梯刚度模型，通过对3根10 m钢筋混凝土T梁足尺模型进行静力和疲劳破坏试验，获取了疲劳剩余刚度随荷载作用次数的演化规律。引入疲劳损伤系数和刚度退化系数，建立了在役混凝土T梁疲劳寿命预测模型。分析结果表明：随着荷载作用次数的增加，桥梁剩余刚度呈现三阶段衰减，其中疲劳初期和后期阶段衰减较快，但占总寿命比重相对较小，而疲劳中期阶段呈线性稳定退化，约占疲劳总寿命的80%以上，为桥梁服役的主要阶段，疲劳破坏时剩余刚度约为初始刚度的82.7%。最终，针对在役混凝土T梁桥工作性状，提出了在役钢筋混凝土梁桥寿命预测方法，相关研究成果可为此类桥梁寿命预测研究提供理论支持。

关键词: 桥梁工程, 在役混凝土T梁, 疲劳寿命, 阶梯刚度模型, 累积损伤系数

Abstract:

In order to obtain the fatigue stiffness degradation law of in-service concrete T-beams and carry out fatigue life prediction. Based on the theory of damage mechanics， a stepped stiffness model of concrete T-beams including cracking damage was constructed. Through the full-scale model of three 10 m concrete T beams， static and fatigue failure tests were carried out to obtain the evolution law of fatigue residual stiffness with the number of loads. The fatigue damage coefficient and stiffness degradation coefficient were introduced to establish a concrete T beam in service fatigue life prediction model. The analysis results show that with the increase of load， the residual stiffness of the bridge exhibits three-stage decay， in which the initial and later stages of fatigue decay rapidly， but account for a relatively small proportion of the whole life. The result shows that more than 80% of the whole service life is the main stage of bridge service， it is about 82.7% of the initial stiffness at the time of fatigue failure. Finally， according to the working behavior of in-service concrete T-girder bridges， a life prediction method for in-service reinforced concrete girder bridges is proposed， the related research results can provide theoretical support for the study of life prediction of such bridges.

Key words: bridge engineering, in-service concrete T-beam, fatigue life, stepped stiffness model, cumulative damage coefficient

中图分类号:

U448.38

左新黛,张劲泉,赵尚传. 在役混凝土T梁疲劳刚度退化及寿命预测方法[J]. 吉林大学学报(工学版), 2023, 53(9): 2563-2572.

Xin-dai ZUO,Jin-quan ZHANG,Shang-chuan ZHAO. Fatigue stiffness degradation and life prediction method of in⁃service concrete T⁃beams[J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(9): 2563-2572.

图/表 18

图1

图2

图3

图4

表1

图5

表2

疲劳试验加载参数"

试验梁编号	$P m i n$ /kN	$P m a x$ /kN	应力幅/kN
TLD-1	50	370	320
TLD-2	50	370	320

表2

图6

图7

图8

表3

图9

表4

表5

不同荷载作用次数下试验梁基频实测值与剩余刚度计算值"

荷载循环次数n/10⁴ 次	TLD-1					TLD-2
荷载循环次数n/10⁴ 次	x₁/m	x₂/m	基频f/Hz	剩余刚度比 $η n$	剩余刚度 $B n$ /（MN·m²）	x₁/m	x₂/m	基频f/Hz	剩余刚度比 $η n$	剩余刚度 $B n$ /（MN·m²）
0.0	0.0	0.0	15.13	1.000	765.712	0.0	0.0	14.96	1.000	738.627
10.0	4.1	4.1	14.94	0.907	694.803	4.1	4.2	14.94	0.900	664.674
20.0	3.9	3.9	14.85	0.895	685.169	4.0	4.0	14.88	0.894	660.385
30.0	3.7	3.6	14.74	0.885	677.781	4.0	3.9	14.86	0.892	659.215
40.0	3.7	3.5	14.71	0.881	674.787	3.5	3.7	14.75	0.892	659.165
50.0	3.5	3.4	14.66	0.881	674.727	3.4	3.4	14.68	0.890	657.288
60.0	3.4	3.2	14.61	0.880	674.200	3.2	3.2	14.62	0.889	656.816
70.0	3.3	3.1	14.57	0.878	672.651	3.1	3.0	14.58	0.889	656.865
80.0	3.3	3.1	14.56	0.876	671.021	2.9	3.0	14.54	0.887	654.868
90.0	3.1	3.0	14.52	0.877	671.895	2.9	2.8	14.51	0.886	654.229
100.0	2.8	2.6	14.40	0.873	668.518	2.8	2.8	14.48	0.883	651.935
110.0	2.8	2.6	14.39	0.871	667.220	2.8	2.6	14.44	0.880	649.888
120.0	2.8	2.6	14.37	0.868	664.627	2.8	2.6	14.41	0.875	646.124
130.0	1.8	1.5	14.11	0.860	658.861	2.3	2.2	14.16	0.853	629.929
132.0	1.6	1.5	13.90	0.835	639.407	—	—	—	—	—
140.0	—	—	—	—	—	2.1	1.8	13.98	0.836	617.775
141.5	—	—	—	—	—	2.1	1.8	13.85	0.819	604.714

表5

图10

表6

试验梁疲劳试验结果"

试验梁编号	初始刚度 $B 0$ /（MN·m²）	破坏刚度 $B N f$ /（MN·m²）	刚度比 $B N f / B 0$	刚度退化率k/（10^-4 MN·m²）	疲劳寿命N_f/10⁴ 次
TLD-1	765.712	639.407	0.835	0.271	132.0
TLD-2	738.672	604.714	0.819	0.241	141.5

表6

图11

表7

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材料种类	立方体抗压强度/MPa	棱柱体抗压强度/MPa	屈服强度/MPa	弹性模量/10⁴ MPa
C30混凝土	36.8	26.2	-	3.20
32 mmHRB400	-	-	485	20.5
28 mmHRB400	-	-	467	20.5
HPB300	-	-	347	21.0

试验梁编号	基频f/Hz		误差/%
试验梁编号	试验值	理论计算值	误差/%
TLJ	15.01	15.23	1.44
TLD-1	15.13	15.23	0.66
TLD-2	14.96	15.23	2.43

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