﻿ 梁侧锚固钢板法加固混凝土梁的非线性有限元分析
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 同济大学学报(自然科学版)  2019, Vol. 47 Issue (7): 906-913.  DOI: 10.11908/j.issn.0253-374x.2019.07.002 0

### 引用本文

WU Zhenli, LU Zhoudao, LI Lingzhi, ZHANG Jiaxu. Non-linear Finite Element Analysis of Bolted Side-plated Beams[J]. Journal of Tongji University (Natural Science), 2019, 47(7): 906-913. DOI: 10.11908/j.issn.0253-374x.2019.07.002

### 文章历史

Non-linear Finite Element Analysis of Bolted Side-plated Beams
WU Zhenli , LU Zhoudao , LI Lingzhi , ZHANG Jiaxu
College of Civil Engineering, Tongji University, Shanghai 200092, China
Abstract: Based on the experimental study of 4 bolted-side plates (BSP) beams, a numerical finite element analysis using OpenSees was conducted on the entire loading process and the shear failure of BSP beams.The nonlinear behaviors of materials and slip model on the interface between steel plate and concrete beam were taken into account. The results of the finite element analysis were found to be in good agreement with the experimental results. The main parameters affecting the behavior of BSP beams were analyzed, including the number of rows of anchor bolts, anchor bolt spacing along the beam, steel plate depth, steel plate thickness, yield strength of steel plate, anchor bolt diameter, concrete strength and so on. The results show the influence of the parameters on the shear bearing capacity, longitudinal and transverse slip, which provides basis for the strengthening design of BSP beams.
Key words: bolted side-plating (BSP)    slip    shear bearing capacity    finite element analysis

1 试验概况

 图 1 BSP梁构造(单位：mm) Fig.1 Details of BSP beam (Unit: mm)
2 有限元分析 2.1 混凝土

2.2 钢筋

2.3 钢板

2.4 锚栓连接

 图 2 BSP梁单元(一半) Fig.2 Finite element model of BSP beam(symmetry)
2.5 网格划分、边界、加载及分析设置

3 分析结果 3.1 跨中位移-荷载曲线

 图 3 试验结果与模拟结果对比 Fig.3 Comparison between test results and simulation results

3.2 钢筋应变对比

 图 4 P2B1梁试验和模拟钢筋应变对比 Fig.4 Strain curves of steel reinforcement in P2B1
3.3 剪跨区钢板应变对比

 图 5 P2B2梁钢板应变曲线对比 Fig.5 Strain curves of steel plate in P2B2
4 参数分析

4.1 锚栓行数

 图 6 不同锚栓行数变形对比 Fig.6 Different row number of anchor bolt

4.2 纵向锚栓间距

 图 7 不同纵向锚栓间距 Fig.7 Different anchor bolt spacing along the beam
4.3 钢板高度

 图 8 不同钢板高度 Fig.8 Different steel plate depth
4.4 钢板厚度

 图 9 不同钢板厚度 Fig.9 Different steel plate thickness
4.5 钢板屈服强度

 图 10 不同钢板屈服强度 Fig.10 Different yield strengths of steel plates

4.6 锚栓直径

 图 11 不同锚栓直径 Fig.11 Different anchor bolt diameters
4.7 剪跨比

 图 12 不同剪跨比 Fig.12 Different shear span ratios
4.8 混凝土强度等级

 图 13 不同混凝土强度等级 Fig.13 Different concrete strength grades
5 设计建议

6 结论

(1) 有限元模拟结果与试验的宏观、微观数据均保持较高的一致性，说明OpenSees用于模拟BSP梁受剪性能试验具有较高的准确性和可靠性.

(2) 当加强连接件，即增大锚栓排数和直径，减少锚栓间距时，钢板与混凝土间相对滑移减少，增加了BSP梁的整体性，从而提高了受剪承载力和延性；当加强混凝土梁或钢板，即增加钢板高度、厚度和屈服强度或混凝土强度时，BSP梁的相对滑移变形显著增加，钢板与混凝土梁的整体协作能力减弱，但是钢板或混凝土的增强增加了BSP梁的变形能力，因而其受剪承载力有显著提高.

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