预应力CFRP加固简支梁的弹性力学解析解

玻璃钢/复合材料 ›› 2016, Vol. 0 ›› Issue (1): 17-22.

预应力CFRP加固简支梁的弹性力学解析解

陈超¹,周叮^1*,刘朵^2,3,张建东³

1.南京工业大学土木工程学院,南京211816;
2.河海大学土木与交通学院,南京210098;
3.江苏省交通科学研究院,南京211112

收稿日期:2015-08-06 出版日期:2016-01-28 发布日期:2016-01-28
通讯作者: 周叮(1957-),男,教授,博导,主要从事结构动力学和复合材料力学研究,dingzhou57@yahoo.com。
作者简介:陈超(1989-),男,硕士,主要从事复合材料加固混凝土研究。
基金资助:
江苏省属高校自然科学研究重大项目(12KJA580002);江苏省交通运输科技项目(2014Y01)

ELASTICITY ANALYTICAL SOLUTION OF SIMPLY SUPPORTED BEAMS STRENGTHENED WITH PRESTRESSED CFRP SHEET

CHEN Chao¹, ZHOU Ding^1*, LIU Duo^2,3, ZHANG Jian-dong³

1.College of Civil Engineering, Nanjing Tech University, Nanjing 211816, China;
2.College of Civil and Transfortation Engineering, Hohai University, Nanjing 210098, China;
3.Jiangsu Transportation Institute, Nanjing 211112, China

Received:2015-08-06 Online:2016-01-28 Published:2016-01-28

摘要/Abstract

摘要： 以预应力CFRP加固简支梁为例,研究梁上表面受荷载作用时CFRP预应力和层数对简支梁应力和位移分布的影响。首先,将简支梁和CFRP沿界面切开各自进行分析,基于二维弹性力学理论,对简支梁进行分析;利用受张力的弦变形理论,对预应力CFRP层进行分析。然后,根据梁和CFRP层间的界面应力和位移连续条件以及梁上表面的载荷条件确定待定系数,最终得到CFRP加固简支梁的应力和位移精确解析解。数值结果与有限元软件ANSYS分析高度一致。研究表明CFRP的预应力和层数对简支梁的应力和位移分布均有影响,预应力越大、层数越多,梁的正应力和竖向位移越小。

关键词: 简支梁, 预应力CFRP, 弹性力学解, 位移, 应力

Abstract: Taking the simply supported beam strengthened with prestressed CFRP as an example, the effect of prestress value and layer number of CFRP on the stress and displacement distributions of the beam under static loads is studied. Firstly, the beams and CFRP sheets are considered separately. The beam is studied based on the two-dimensional elasticity. The CFRP sheet is analyzed by the string theory. Then, the unknown constants in expressions of displacements and stresses are obtained by the continuity of displacements and stresses between the beam and the CFRP sheet. Finally, the exact analytical solution of displacements and stresses in the beam are obtained. Comparing the results with those obtained from ANSYS shows the high precision of the present method. The results show that the prestressing sheet and the layer number of CFRP have important effects on the beam. The greater the prestressing force of CFRP and the more number of CFRP layers, the smaller stresses and displacements of the beam are.

Key words: simple beam, prestressed CFRP, elasticity solutions, displacement, stress

中图分类号:

TB332

陈超,周叮,刘朵,张建东. 预应力CFRP加固简支梁的弹性力学解析解[J]. 玻璃钢/复合材料, 2016, 0(1): 17-22.

CHEN Chao , ZHOU Ding , LIU Duo , ZHANG Jian-dong. ELASTICITY ANALYTICAL SOLUTION OF SIMPLY SUPPORTED BEAMS STRENGTHENED WITH PRESTRESSED CFRP SHEET[J]. Fiber Reinforced Plastics/Composites, 2016, 0(1): 17-22.

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