基于影响线二阶导数的结构损伤识别方法研究

摘要

This paper proposed to establish a method for structural damage identification of simply supported beam based on displacement influence line.This method uses the mechanical formula to calculate and analyze the reinforced concrete simply supported beam model before and after the damage,and obtain the displacement influence line and its 1 st and 2nd derivatives,so to determine the damage position and damage degree of the simply supported beam before and after damage.The simulation results show that the method is effective in structural damage identification.Besides,the influence line is applied to identify rigidity variation situation of a simply supported beam,to further demonstrate the feasibility of identify structural rigidity variation by displacement influence line.%提出建立基于位移影响线的简支梁结构损伤识别方法.该方法应用力学公式对损伤前后钢筋混凝土简支梁模型进行数值分析计算,得到位移影响线及其1、2阶导数,据此对损伤前后简支梁进行损伤位置及损伤程度的判别,模拟计算证明采用该方法进行结构损伤识别具有有效性.另外,应用位移影响线对一座简支T梁刚度变化状况进行识别,进一步证明采用位移影响线对结构刚度变化进行识别的可行性.