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以不同损伤状态的工字钢梁为例,通过基于静态影响线的有限元模型修正和挠度影响线的二阶导数识别出结构的损伤,并实现承载能力的评估。研究结果表明:优化迭代收敛步数最大为8步,修正误差在0.5%左右;不同损伤情况下工字钢梁计算与实测挠度影响线较为吻合;挠度影响线的二阶导数在损伤位置出现峰值,可以识别出损伤位置。
Taking the I-beam with different damage as an example, the damage of the structure is identified through the finite element model modification based on the static influence line and the second derivative of the deflection influencing line, and the bearing capacity is evaluated. The results show that the optimal number of steps for iterative convergence is 8 steps, and the correction error is about 0.5%. The calculation results of I-beam correspond well with the measured deflection lines under different damage conditions. The second derivative of deflection line appears at the peak , Can identify the location of the injury.