从理论上推导了预张力与损伤RC梁固有频率之间的定量关系。同时进行了预应力CFRP布加固RC梁的动力特性试验，测定不同预张力条件下，完好梁与损伤梁的一阶频率值。而后利用ANSYS软件建立钢筋混凝土完好梁的有限元模型，根据损伤梁的动力测试结果，运用优化分析的方法得到损伤梁混凝土刚度折减系数；利用一阶频率的试验值对公式进行线性拟合，得到频率影响因素及损伤梁频率计算公式。最后将加固损伤梁一阶频率的理论值与试验值进行比较，发现在低预应力作用下，理论计算结果基本能反映出试验值随预张力变化的趋势，试验值与理论值吻合较好。

This paper studies theoretically the dynamic characteristics of RC damage beams strengthened by prestressed CFRP sheets, and the relationship between frequency and pretension is derived. The author has test on the dynamic characteristics of RC beam strengthened by prestressed CFRP sheets; the primary frequency value is measured under different pretension. The author sets up the finite element model of good concrete beam in use of ANSYS software, and gets the reduction factor of elastic modulus of concrete by the optimization tools of ANSYS based on the analysis of damaged beam dynamic test; according to the primary frequency value of good beam strengthened by prestressed CFRP sheets, a linear fit to the formula of calculating the frequency is carried on, the author gets the factor of frequency and the formula for calculating primary frequency value of damaged beam. Lastly the theoretical value of primary frequency is compared with experimental values. At low prestress, the theoretical calculation results reflect the trend of experimental data; the results are in good agreement.