碳纤维增强压弯构件弹塑性失稳解析解

基于计算压弯构件弹塑性失稳的Je■ek法,推导了在轴压和弯矩共同作用下拉压侧粘贴碳纤维片材后矩形截面柱绕强轴失稳时极限荷载的计算公式,通过与有限元解进行对比,表明该解析解是正确的,它为构件弹塑性屈曲的基础理论研究提供了一个新的分析方法。计算结果表明,构件横截面进入塑性的区域越大,这种碳纤维的增强效果越为明显,可见,表面粘贴碳纤维对提高构件弹塑性极限荷载是十分有效的。

ANALYTICAL SOLUTION OF ELASTIC-PLASTIC BUCKLING OF MEMBER WRAPPED BY CARBON FIBRE UNDER THE AXIAL COMPRESSIVE LOAD AND BENDING MOMENT

Based on Jezek method of computing elastic-plastic buckling of member under the axial compressive load and bending moment, analytical expressions of calculating ultimate load of buckling about neutral axis with maximum moment of inertia for a rectangular column with its upper and lower surfaces wrapped by carbon fibre are derived. The results obtained by the formulae are in good agreement with finite element solution, which provide a new method of theoretical study for elastic-plastic buckling of member. The example shows that the more region of the member section yields, the greater the reinforcing action of carbon fibre is. It is believed that gluing carbon fibre on the surface of steel member may significantly increase its carrying capacity of elastic-plasticity.