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考虑任意多区域局部损伤和FRP材料对变截面钢压杆弯曲刚度的贡献以及初弯曲、初偏心两种几何缺陷的耦合影响,首次基于大挠度理论建立了FRP加固变截面损伤钢压杆的稳定微分方程。提出一种将杆轴初始挠度近似拟合成圆弧的初弯曲模型,推导出压杆大挠度屈曲时最大挠度、荷载与杆端转角之间的函数关系。建立了基于边缘屈服准则的弯矩作用平面内稳定承载力的计算公式。探讨了局部损伤、FRP粘贴厚度、初弯曲、初偏心等参数对变截面局部损伤钢压杆FRP加固后的大挠度屈曲性能的影响。数值算例与已有文献对比和参数分析证明了本文解析算法、公式及结论的正确性和有效性。
Considering the contribution of arbitrary multi-zone local damage and FRP material to the bending stiffness of variable cross-section steel bar and the coupling effect of the initial bending and primary eccentricity, the stability of the steel bar with FRP strengthened by the FRP reinforcement was established for the first time based on the large deflection theory Differential equations. In this paper, an initial curve model is proposed in which the initial deflection of the shaft is approximately fitted to a circular arc. The maximum deflection and the relationship between the load and the angle of the rod end are deduced. The formulas for calculating the in-plane stability of bending moment based on the edge yield criterion are established. The effects of local damage, FRP thickness, initial bending, initial eccentricity and other parameters on the large deflection buckling performance of FRP strengthened steel bars with local damage were investigated. Numerical examples compared with the existing literature and parameter analysis prove the correctness and effectiveness of the analytical algorithm, formulas and conclusions.