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浙江大学学报(工学版)
浙江大学学报(工学版)  2024, Vol. 58 Issue (5): 1020-1028    DOI: 10.3785/j.issn.1008-973X.2024.05.015
交通工程、土木工程     
剪力滞对CFRP板-钢梁加固界面应力的影响
朱佩云1(),李晓章2,余明明1,谢旭1,*()
1. 浙江大学 建筑工程学院，浙江 杭州 310058
2. 昆明理工大学 建筑工程学院，云南 昆明 650500
Effect of shear lag on stress at CFRP plate-steel beam reinforcement interface
Peiyun ZHU1(),Xiaozhang LI2,Mingming YU1,Xu XIE1,*()
1. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China
2. College of Civil Engineering and Architecture, Kunming University of Science and Technology, Kunming 650500, China
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摘要：

为了分析工字钢梁弯曲变形产生的剪力滞效应对黏结层法向应力和切应力的影响，基于虚功原理的能量变分法建立考虑剪力滞的碳纤维增强复合材料(CFRP)加固梁黏结应力计算理论方程. 通过与试验和有限元数值模拟结果的对比，验证了理论方程的正确性. 开展不同弯矩作用下的工字型钢梁黏结层界面切应力和法向应力参数分析. 结果表明，剪力滞引起的翼缘板纵向位移沿横向3次抛物线分布的假定是合理的. 剪力滞效应对CFRP加固工字钢梁弯曲变形下的端部界面应力影响不可忽略，影响程度随着截面弯矩和翼缘板宽度的增加而增大.
关键词： 碳纤维增强复合材料(CFRP);  工字型钢梁加固;  剪力滞;  能量变分法;  界面应力    
Abstract:

The theoretical equations for interfacial stress calculation of carbon-fiber reinforced plastics (CFRP) reinforced beam considering shear lag were established based on the energy variational method of virtual work principle in order to analyze the effect of shear lag generated by bending deformation of I-section steel beams on interfacial normal and shear stresses of the adhesive layer. Then the correctness of the theoretical equations was verified by comparing with the experiment and finite element results. Interfacial shear and normal stresses of the adhesive layer of I-section steel beams under the action of different bending moments were conducted. Results show that assuming the longitudinal displacement of the flange plates caused by shear lag distributed in the cubic parabolic function along the lateral direction is reasonable. The shear lag effect cannot be ignored on interfacial stresses at the ends of the CFRP reinforcing I-section steel beams under bending deformation, and the impact degree magnifies with the increase of the section bending moment and flange plate width.
Key words: carbon-fiber reinforced plastics (CFRP)    reinforcement of I-section steel beam    shear lag    energy variational method    interfacial stress
收稿日期: 2023-07-14 出版日期: 2024-04-26
CLC:  TU 398  
基金资助: 国家自然科学基金资助项目（52178174，51878606）.
通讯作者: 谢旭     E-mail: 22112084@zju.edu.cn;xiexu@zju.edu.cn
作者简介: 朱佩云（1999—），女，硕士生，从事CFRP加固钢结构的研究. orcid.org/0009-0000-6703-6348. E-mail：22112084@zju.edu.cn
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引用本文:

朱佩云,李晓章,余明明,谢旭. 剪力滞对CFRP板-钢梁加固界面应力的影响[J]. 浙江大学学报(工学版), 2024, 58(5): 1020-1028.

Peiyun ZHU,Xiaozhang LI,Mingming YU,Xu XIE. Effect of shear lag on stress at CFRP plate-steel beam reinforcement interface. Journal of ZheJiang University (Engineering Science), 2024, 58(5): 1020-1028.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2024.05.015    或    https://www.zjujournals.com/eng/CN/Y2024/V58/I5/1020

图 1  截面几何参数及薄板纵向位移假定
图 2  梁微元体的内力和黏结层界面应力
材料E/GPa$\nu $
钢梁2060.3
CFRP板1630.3
黏结层2.440.35
表 1  试验梁的材料参数
图 3  均布荷载作用下的加固简支梁
图 4  试件及试验装置图
图 5  应变片布置和测点
图 6  试验梁的有限元模型
图 7  CFRP板和钢梁下翼缘板沿梁长的应变
图 8  CFRP板应变
图 9  钢梁下翼缘板的应变
图 10  均布荷载作用下梁端附加弯矩的加固简支梁
材料E11/GPaE22 /GPaG12/GPa$\nu $
钢梁206206790.3
CFRP板3101026.40.3
黏结层1.281.280.470.35
表 2  加固梁的材料参数
图 11  简支梁两端附加弯矩ql2/10时的黏结层界面应力
图 12  宽翼缘板简支梁两端附加弯矩ql2/10时的黏结层界面应力
图 13  窄翼缘板简支梁两端附加弯矩ql2/10时的黏结层界面应力
图 14  均布荷载作用下的加固悬臂梁
图 15  悬臂梁中黏结层界面的法向和切应力
图 16  梁端施加弯矩和均布荷载作用下的简支梁
图 17  端部界面应力随附加弯矩的变化
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