Extended constitutive relation error‐based approach: The role of mass in damage detection

Abstract

Summary This paper presents an extended constitutive relation error (ECRE)‐based method for detecting damage in structural systems. Although most ECRE‐based methods for damage detection have relied on an iterative model calibration process, the approach advocated in this study uses residual energy to identify structural damage. Residual energy represents the spatial distribution of discrepancies between model predictions of the undamaged system and experimental measurements obtained from the damaged system. The current study calculates this residual energy by tightly linking experimentally measured vibration data to an associated numerical model. The approach implemented in this paper, referred to as the M‐K ECRE‐based approach, differs from previous ECRE‐based damage detection methods in that it incorporates both unbalanced elastic and unbalanced inertial forces in the calculation of residual energy. The rationale for including unbalanced inertial forces is that damage can also alter the mass distribution of a structure in addition to its influence on the distribution of structural stiffness. By considering unbalanced inertial forces, the proposed approach improves the calculation of residual energy, which in turn leads to an improvement in the method's ability to identify damage. At the end of this study, the efficiency of the M‐K ECRE‐based approach to identify damage is demonstrated on a scaled two‐story steel frame that is subjected to varying types and severities of structural damage.

Strength and stiffness estimation of damaged reinforced concrete shear walls using crack patterns

“…The visual inspection is highly influenced by engineering judgment; moreover, this time‐consuming procedure is highly dependent on the skills of the individuals performing the inspection and is prone to misjudgment. Therefore, innovative and quantitative methods employing automated‐based damage detection have received great attention in the seismic evaluation of buildings in recent years …”

“…Therefore, innovative and quantitative methods employing automated-based damage detection have received great attention in the seismic evaluation of buildings in recent years. [4][5][6] Several studies have investigated automated image-based techniques, for example, fractal analysis for damage and performance evaluation of civil engineering structures. [7][8][9] Bridges are in the great importance of monitoring and damage assessment.…”

MCRE-based finite element model updating: Cast3M implementation

“…In practical applications, for the sake of efficiency, it may be beneficial not to update all stiffness parameters simultaneously. When the region to be identified is not known a priori, a simple strategy can be drawn based on equation (18). It carries the information about how well the material parameters of the model correspond to reality.…”

“…The typology of the present application is recurrent in the literature, being very useful in studying structural elements and their connections [18].…”

“…aerospace structures [14,15], topology optimization [16] and civil engineering [17,18,19,20]. It is worth mentioning that inherent uncertainties can also be considered in model updating [21,22,23].…”