Numerical method of bearing capacity for preloaded RC beam strengthened by bonding steel plates
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摘要: 在钢筋混凝土梁粘贴钢板加固数值分析中, 为了解决初始荷载及钢板-混凝土界面传力问题, 以8片钢筋混凝土梁室内缩尺模型试验为基础, 采用面-面接触分析方法及单元“生死”分析方法, 对试验梁进行了全过程数值分析, 提出了一种粘贴钢板加固具有初应力钢筋混凝土梁的数值分析方法。研究结果表明: 钢筋混凝土梁预测挠度变化规律与实测值吻合较好, 极限荷载偏差在11.5%以内。可见, 运用数值分析方法能有效解决持荷情况下, 待加固结构与钢板不同时参与工作及钢板-混凝土界面的传力难点。Abstract: In order to study initial stress and ring force transfer between steel plates and concrete in the numerical analysis of RC beam strengthened by bonding steel plates, 8 scale-down models of RC beam were manufactured, their loaded whole processes were analyzed by using surface-surface contact analysis method and "birth and death" element method, and a numerical analysis method of strengthening RC beam with initial stress was proposed.Numerical analysis result shows that the deflection variation rule is consistent with its test rule, the deviation is within 11.5% in ultimate load case.Obviously, it effectively solves the problems that retrofitting structure and steel plates don't act together and how does the force transfer between concrete and steel plates in preloaded case.
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Key words:
- bridge engineering /
- RC beam /
- steel plates /
- strengthening /
- initial stress /
- numerical analysis
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表 1 试验方案
Table 1. Testing schemes
编号 锚固形式 钢板宽度/cm 初始荷载 B1 无 — — B2 两端锚固 2.1 无 B3 均匀锚固 2.1 无 B4 两端锚固 2.1 有 B5 两端锚固 4.2 无 B6 均匀锚固 4.2 无 B7 均匀锚固 4.2 有 B8 均匀锚固 4.2 有 表 2 数值分析与试验结果对比
Table 2. Comparison of numerical analysis and experiment result
编号 开裂荷载/kN 屈服荷载/kN 极限荷载/kN 试验 计算 误差/% 试验 计算 误差/% 试验 计算 误差/% B1 3.52 3.56 1.3 33.60 31.0 -7.7 41.05 38.52 -6.2 B2 3.99 3.81 -4.6 37.64 37.6 -0.1 52.95 46.86 -11.5 B3 5.55 3.81 -31.4 33.06 37.6 13.7 44.75 43.56 -2.7 B4 5.06 3.56 -29.6 41.88 38.0 -9.3 48.51 45.76 -5.7 B5 6.04 5.52 -8.6 40.90 44.6 9.0 56.10 52.36 -6.7 B6 7.89 5.52 -30.0 46.29 44.0 -4.9 57.23 51.48 -10.0 B7 4.41 4.86 10.2 41.23 42.0 1.9 46.70 51.26 9.8 B8 4.57 4.86 6.3 44.99 42.0 -6.6 52.83 51.26 -3.0 注: B7试件粘结剂养护时间不足。 -
[1] 朱合华, 缪圆冰, 梁伟, 等. 组合结构有限元计算存在的问题和处理方法[J]. 岩土力学, 2005, 26(9): 1 437-1 442. doi: 10.3969/j.issn.1000-7598.2005.09.018Zhu He-hua, Miao Yuan-bing, Liang Wei, et al. Problems in calculating composite structure with FEM and their counter measures[J]. Rock and Soil Mechanics, 2005, 26(9): 1 437- 442. (in Chinese) doi: 10.3969/j.issn.1000-7598.2005.09.018 [2] 孙晓燕, 黄承逵. 外贴纤维布加固超载后钢筋混凝土桥梁构件抗弯性能试验[J]. 中国公路学报, 2006, 19(4): 82-87. doi: 10.3321/j.issn:1001-7372.2006.04.015Sun Xiao-yan, Huang Cheng-kui. Test on flexural perform-ance of RC bridge member after overload reinforced with ex-ternally bonded FRP[J]. China Journal of Highway andTransport, 2006, 19(4): 82-87. (in Chinese) doi: 10.3321/j.issn:1001-7372.2006.04.015 [3] Yang Zhen-jun, ChenJian-fei, Proverbs D. Finite elementmodelling of concrete cover separation failure in FRP platedRC beams[J]. Construction and Building Materials, 2003, 17(1): 3-13. doi: 10.1016/S0950-0618(02)00090-9 [4] 薛伟辰, 王晓辉. 有黏结预应力CFRP筋混凝土梁试验及非线性分析[J]. 中国公路学报, 2007, 20(4): 41-47. doi: 10.3321/j.issn:1001-7372.2007.04.008Xue Wei-chen, Wang Xiao-hui. Experi ment and nonlinearanalysis of concrete beams with bonded prestressing CFRPtendons[J]. China Journal of Highway and Transport, 2007, 20(4): 41-47. (in Chinese) doi: 10.3321/j.issn:1001-7372.2007.04.008 [5] 谢素超, 田红旗, 姚松. 板梁偏心连接结构有限元分析[J]. 交通运输工程学报, 2006, 6(4): 5-9. doi: 10.3321/j.issn:1671-1637.2006.04.002Xie Su-chao, Tian Hong-qi, Yao Song. Finite element analy-sis of composite structure of eccentric beam and plate[J]. Journal of Traffic and Transportation Engineering, 2006, 6(4): 5-9. (in Chinese) doi: 10.3321/j.issn:1671-1637.2006.04.002 [6] 任伟. 钢筋混凝土T梁桥的片材加固机理、设计方法及其应用[D]. 西安: 长安大学, 2006. [7] 刘彬, 李传习, 唐雪松. 钢筋混凝土简支梁结构破坏过程的损伤模型与数值模拟[J]. 长沙理工大学学报: 自然科学版, 2006, 3(4): 28-33. https://www.cnki.com.cn/Article/CJFDTOTAL-HNQG200604005.htmLiu Bin, Li Chuan-xi, Tang Xue-song. Damage model andnumerical si mulation for failure process of reinforced concretefree beam[J]. Journal of Changsha University of Science andTechnology: Natural Science, 2006, 3(4): 28-33. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-HNQG200604005.htm [8] 陆新征, 江见鲸. 利用ANSYS Solid65单元分析混凝土组合构件复杂应力[J]. 建筑结构, 2003, 33(6): 22-24. https://www.cnki.com.cn/Article/CJFDTOTAL-JCJG200306007.htmLu Xin-zheng, Jiang Jian-jing. Analysis for concrete struc-ture under complex stress condition with Solid65 FEA ele-ment of ANSYS[J]. Building Structure, 2003, 33(6): 22-24. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JCJG200306007.htm [9] 黄羽立, 叶列平. 碳纤维布加固RC梁中粘结性能的非线性有限元分析[J]. 工程力学, 2004, 21(2): 54-61. https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX200402009.htmHuang Yu-li, Ye Lie-ping. Nonlinear FEManalysis of bondbehavior of RC beams strengthened with bottom bondedCFRP sheets[J]. Engineering Mechanics, 2004, 21(2): 54-61. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX200402009.htm [10] 赵均海, 翟慧娟, 计琳, 等. 钢筋混凝土特种楼梯非线性有限元分析[J]. 长安大学学报: 自然科学版, 2006, 26(6): 52-54. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200606011.htmZhao Jun-hai, Zhai Hui-juan, Ji Lin, et al. Nonlinear finiteelement analysis on special reinforce concrete stair[J]. Jour-nal of Chang an University: Natural Science Edition, 2006, 26(6): 52-54. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200606011.htm