基于一阶振型斜率的剪切型建筑结构损伤定位

提出了一种利用结构一阶振型斜率改变判断剪切型结构损伤位置的方法.首先,进行结构振型和振型斜率对损伤的敏感性分析,导出敏感性系数表达式.然后,计算结构损伤前后的一阶振型斜率差.最后,在敏感性分析和计算得到的结构一阶振型斜率差的基础上,通过迭代计算消除多损伤引起的振型斜率改变叠加进行损伤定位.通过10层剪切型框架结构不同损伤工况的数值分析表明,所提出的算法能够正确识别所有的损伤位置.

Damage localization of shear-type buildings by first order mode shape' slopes

A method based on the measured changes in the slopes of the first order mode shape is presented to localize the damage in shear-type buildings. The sensitivity coefficients of mode shape and the slopes of mode shape with respect to damage were derived by sensitivity analysis. And then, the differences in the slopes of mode shape are calculated between damaged structures and intact ones. Finally, based on the sensitivity analysis and the differences in the slopes of mode shape, damage was localized by iterative computation to eliminate the superimposition of the changes in the slopes of mode shape caused by multiple damages. The effectiveness of algorithm is verified by numerical analysis of a 10-story shear-type building, in which all damages are exactly localized.