中文摘要：

以现有混凝土本构关系、钢材本构关系、钢板与钢筋混凝土（RC）梁之间的粘结滑移本构关系为基础,引入割线刚度,根据粘钢加固RC梁截面的平衡条件及钢板与RC梁之间的变形协调条件,推导以钢板拉力表达的粘钢加固RC梁非线性微分方程。通过引入位移边界条件和连续性条件,分别给出双集中荷载、均布荷载作用下粘钢加固RC简支梁微分方程的通解,以及以钢板拉力表达的粘钢加固RC梁协调工作系数的表达式。5根不同粘钢量、不同混凝土强度等级、不同跨度试验梁的计算结果与试验结果的对比分析结果表明,二者吻合较好。影响该非线性分析方法准确度的主要因素有粘结滑移刚度、钢板端部锚固状况和荷载作用形式。

英文摘要：

Based on the existing constitutive relation of concrete,the constitutive relation of steel as well as the bond-slip constitutive relationship between steel plate and reinforced concrete（RC）beam,the secant stiffness was introduced.According to the equilibrium condition of the RC beam section strengthened with bonded steel and the deformation coordination condition between steel plate and RC beam,the nonlinear differential equation of RC beam strengthened with bonded expressed by the tension of steel plate was derived.Through introducing displacement boundary condition and continuity condition,the general solution to the differential equation of RC simply supported beam strengthened with bonded steel under double concentrated loads and uniform load was respectively given,and the expression for the coordinative coefficient of RC beam strengthened with bonded steel was given in terms of the tension of steel plate.Comparing the calculated results with the experimental results of 5different kinds of tested beams with different quantities of bonded steel,concrete strength grades and spans,results show that the two are in good agreement.The main factors affecting the accuracy of the nonlinear analysis method are bond slip stiffness,end anchorage condition of steel plate and loading forms.