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对具有纵向贯穿裂缝的矩形截面木梁采用侧贴纤维增强聚合物布(FRP布)的方式加固。将FRP布视为正交各向异性材料,在组合梁小挠度变形的假定下,建立了侧贴FRP布加固具有纵向贯穿裂缝矩形截面木梁弯曲变形的控制方程;研究了FRP加固简支木梁在跨中集中力作用下的弯曲行为,得到了木梁挠度的解析表达式,在此基础上通过参数分析,考察了材料参数、几何参数、加固方式等对梁弯曲挠度的影响。数值结果表明:当FRP布纤维方向与梁轴线夹角=0°时,CFRP布的加固效果好于GFRP布的加固效果,而当为10°~15°时,FRP布的加固效果最为显著;当FRP布量纲为一的厚度(FRP布厚度与木梁的宽度之比)<0.02、剪切模量(FRP布OXZ方向的剪切模量与木梁弹性模量之比)<0.5时,和对FRP布加固木梁的挠度有较显著的影响。
Rectangular cross-section wooden beams with longitudinal through cracks were reinforced with side-by-side fiber-reinforced polymer cloth (FRP cloth). The FRP fabric is regarded as an orthotropic material. Based on the assumption of small deformation of the composite beam, the governing equations of the bending deformation of the beam with longitudinal rectangular cross-section through the crack are established. The bending behavior of beam under the action of concentrated force in the span is obtained, and the analytical expression of the beam deflection is obtained. Based on the analysis, the influence of material parameters, geometric parameters and reinforcement methods on the bending deflection of the beam is investigated. The numerical results show that the reinforcement effect of CFRP fabric is better than that of GFRP fabric when the angle between the fiber direction of FRP fabric and the beam axis is 0 °, while the reinforcement effect of FRP fabric is the most significant when it is between 10 ° and 15 °. When the thickness of the FRP fabric is one (the ratio of the thickness of the FRP fabric to the width of the beam) <0.02 and the shear modulus (the ratio of the shear modulus of the FRP fabric in the OXZ direction to the beam modulus) <0.5 , And the FRP cloth to strengthen the deflection of wooden beams have a more significant impact.