Damage assessment on plate-like structures using a global-local optimization approach

Abstract

A new method for finite element model updating using simulated data is presented. A global-local optimization (GLO) approach was adopted to adjust the uncertain properties of the FE model by minimizing iteratively the differences between the measured dynamic modal parameters and the corresponding analytical predictions. In contrast with most of the existing updating techniques, which minimize modal force errors, objective functions based on Coordinate Modal Assurance Criterion (COMAC) and Frequency Response Assurance Criterion (FRAC) were employed. The GLO procedure was employed to minimize the norm of these vectors by updating the physical model variables (thickness, Young modulus, etc.). The proposed model updating procedure was applied to damage localization and quantification of structures, whose damage characteristics can be represented by a reduction of the element bending and axial stiffness. Results showed that a significant reduction in terms of computer run-time and improved damage assessment can be achieved. The procedure is illustrated on a plate-like structure by measuring dynamic properties before and after structural changes for four different damage cases.

Smart monitoring of aeronautical composites plates based on electromechanical impedance measurements and artificial neural networks

“…Changes in the measured data are then related to modifications in the physical parameters via system identification algorithms based on linear algebra or optimization theory. Recent advances in SHM tend to couple data-driven techniques with model driven data [17][18][19][20][21][22]. Especially in composites damage detection area, the current trend is to track changes in damping [10,17] for delamination localization.…”

From Thermal Inspection to Updating a Numerical Model of a Race Bicycle: Comparison with Structural Dynamics Approach

“…These updating methods are widely used in structural dynamics for modal vibration inspection [14,[18][19][20][21][22], but their use is limited in heat transfer optimization problems related to non-linear convection and radiation boundaries [23,24]. FE model updating can be used to optimize the complex parameter set of active thermographic setups by correlating the numerical results with NDT data [25].…”

“…FE model updating can be used to optimize the complex parameter set of active thermographic setups by correlating the numerical results with NDT data [25]. These methods are widely used in modal vibration inspection [20][21][22], but their usage is limited in thermal optimization problems [4,23,24] due to the difficulties in estimating the diffusivity.…”

Second and higher order duality in Banach space under -invexity

“…Theoretical as well as computational results have been obtained by many authors [1][2][3][4]. The main goal is to look for local and global optima.…”

“…Recently, a multidimensional search has been used to find a local optimum [5]. Application of global and local optimization methods to damage assessment on plate-like structures have been considered in [3].…”