Hybrid two-step method of damage detection for plate-like structures

Abstract

Summary This paper develops a two‐step approach for structural damage detection. In the first step, the two‐dimensional generalized local entropy (2D‐GLE) is proposed to identify the damage location and number for plates. Based on the 2D‐GLE, singularities in plates are revealed with the aid of mode shapes; hence, damages are localized, and the number of which is estimated. Besides, the statistical analysis is applied in the analysis of 2D‐GLE damage maps to overcome the difficulty in damage detection methods without baseline data. In the second step, the damage severities at the identified locations are evaluated via the optimization using artificial bee colony (ABC) with the designed frequency object function. The advantages of the present method are as follows: (1) No‐baseline in the measurement of mode shapes. Damage localization via the 2D‐GLE avoids using healthy mode shapes serving as baselines in damage detection, and then only damaged mode shapes are required. (2) No down‐sampling. Compared with the wavelet‐based methods, no down‐sampling enhances the algorithmic robustness and accuracy. (3) Efficiency. This hybrid two‐step method shrinks the solving parameter domain sharply in optimization via the first step. Hence, only the severity parameters need to be investigated in ABC. (4) Robustness. ABC ensures the robustness of the proposed method. Different damage cases are investigated in simulations, single‐damage/multiple‐damage cases, and noise immunity tests demonstrate that the proposed method is effective and accurate in damage detection. At last, a simple experiment is given to verify the present algorithm. Copyright © 2015 John Wiley & Sons, Ltd.

Hermitian Mindlin Plate Wavelet Finite Element Method for Load Identification

“…where diag is the diagonal matrix,Φ is the modal shape, is the damping ratio, and is the natural frequency. According to (35), we can obtain Substituting (36) into (34), we can obtain…”

“…One can correct the elastic moduli; those are deduced from the characteristic value of the Mindlin plate [35][36][37][38]. The corresponding elastic modulus value ( = 1, 2, .…”

Multi-stage method to identify structural damage using multiple damage location assurance criterion and an improved differential evolution algorithm

“…So far, an increasing number of optimal algorithms such as neural network (NE) 20,21 , Genetic algorithms (GA) 22,23 , particle swarm optimization (PSO) 24,25 , artificial bee colony (ABC) 26,27 , differential evolution (DE) [28][29][30] and wavelet analysis 31,32 etc are widely used in determining the location and extent of structural damage. However, the expensive computational cost and the invalid for dealing with large civil engineering structures of the optimization algorithms still need to be addressed eagerly.…”

A Novel Personalized Diagnosis Methodology Using Numerical Simulation and an Intelligent Method to Detect Faults in a Shaft

“…Thus, the fault diagnosis of the rotating machinery is increasingly having attention paid. Over the past several decades, new fault detection methods [1][2][3][4][5][6][7] and new criteria [8][9][10] were proposed, which greatly enriched the field of fault diagnosis. He et al [11] proposed a data mining-based diagnostic system using acoustic emission (AE) signals to detect faults in full ceramic bearings.…”