Detecting Structural Damage Using Frequency Response Functions

Vibration-Based Model-Dependent Damage (Delamination) Identification and Health Monitoring for Composite Structures — A Review

“…According to their di!erent detection techniques, the modal analysis methods can be divided into the following major categories [9,10]: modal shape changes methods [11,12], modal shape curve methods [13,14], sensitivity-based update methods [15,16], eigenstructure assignment methods [17,18], optimal matrix update methods [19,20], changes in measured sti!ness matrix methods [21,22], frequency response function method [23,24], and combined modal parameters method [25].…”

Optimal Wave Propagation-Based Nondestructive Test Design for Quantitative Damage Characterization

“…Examples for damage characterization problems that utilize various optimization approaches in a wide variety of structures are presented in previous studies [4,33,11,10]. Although a large amount of work has shown the ability of these optimization approaches to solve inverse problems in characterization of structures, there are some common challenges that still exist, particularly the potential computational expense in practice.…”

“…An optimization problem is then created to identify the parameter values that minimize the difference between the responses predicted by the numerical modeling and the measured data from an NDT. There are a wide variety of applications utilizing computational inverse solution methods such as this based on different parameters or material properties, different representations of system responses, and different types of NDT [10,6,7,11,4]. However, several common procedures are followed.…”

Structural Damage Detection Using Modal Norms

“…It follows from equation (6) that the norm is determined from the system natural frequencies, modal damping ratios, and the modal input and output gains. The gains, on the other hand, are determined from the natural mode shapes at the actuator and sensor locations.…”