Structural damage quantification in shear buildings using mode shape slope ratio

Abstract

Mode shape-based techniques are very popular among researchers since the last two decades and varying levels of success have been achieved towards identifying damage using structural mode shapes. This study presents a novel formulation to establish the expression of damage severity in the form of mode shape slope. The derived closed-form solution directly correlates the percentage damage intensity with the derivatives of the changes in mode shapes in shear buildings, the most common class of civil structures. Numerical experimentation involving a 16-storey two-dimensional shear building has been performed to show the applicability of the proposition in damage quantification. First three mode shapes are used for this purpose. A detailed parametric study comprising of location as well as noise sensitivity has also been carried out to test the robustness of the proposition. Further, the derived expression has been applied to quantify damages in multiple locations. A relatively shorter structure of eight-storey shear building has also been considered to check the efficiency of the proposed algorithm in structural damage quantification. However, if any mode depicts a very low slope value at the damage location, that particular mode could not be used for damage quantification. Finally, an extensive experimental program on a three-dimensional six-storey miniature model of a shear building ensures its practical applicability under real measurement condition in a laboratory environment. Therefore, this novel mode shape slope-based damage quantification technique can be widely applicable to be appropriate for various circumstances.

A novel index for vibration-based damage detection technique in laminated composite plates under forced vibrations: experimental study

“…23,24 MS-based damage detection was used in shear buildings, the common category of civil applications. 25 The analysis of the acquired data shows the applicability of slop-MS technique in damage identification. In contrast, some researchers 26,27 noted that MCs fail to clearly localize the damage location even in simple structures.…”

Fault Identification for Shear-Type Structures Using Low-Frequency Vibration Modes

“…The advantage of the proposed method is that the model-free calibration characteristics can avoid the need to calibrate the mass and stiffness parameters of the structure. Roy [32] proposed a new formula to establish the expression of damage severity in the form of mode shape slope. The derived closed-form solution directly relates the percentage of damage strength to the derivative of the vibration mode change in the shear building.…”