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Multiple Damage Identification in a Beam Using Artificial Neural Network-Based Modified Mode Shape Curvature

  • Research Article-Civil Engineering
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Abstract

In the present work, the existence of multiple damage locations is identified successfully by using the modified mode shape curvature technique in a cantilever beam. The noisy frequency response of the beam is extracted for varying damage depths at two various positions by using Bruel and Kjaer instrument. As experimentally obtained displacement mode shape data cannot reflect clear damage location in the structure due to the presence of noise, in the present work, the data have been trained through artificial neural network to obtain improved results to localize the damage locations. Numerically and experimentally obtained displacement modes are utilized as input for ANN, and the trained data are used to produce mode shape curvature. The trained data sets are then utilized to produce the mode shapes curvatures for all the damage cases using central difference approximation. Damage severity and locations are then identified by analyzing the absolute mode shape curvature difference for various damage scenarios.

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Abbreviations

FR:

Frequency response

SHM:

Structural health monitoring

ANN:

Artificial neural network

ODS:

Operational deflection shape

M :

Mass

D :

Damping

K :

Stiffness

FFT:

Fast Fourier transfer

X( \(\omega \) ) :

Output response

F( \(\omega \) ) :

Input force

S mm :

Power spectrum

\({\gamma }^{2}\left(\omega \right)\) :

The coherence

B&K:

Bruel and Kjaer

MDOF:

Multiple degrees of freedom

y” :

Curvature

h :

Element size

e x :

Experimental data set

p x :

Predicted data set

Z k :

Input/output data set

Z k min, :

Data set (minimum)

Z k max, :

Data set (maximum)

MAPE:

Mean absolute percentage error

MSE:

Mean square error

R :

Regression coefficient

AMSC:

Absolute mode shape curvature

MMSC:

Modified mode shape curvature

FEM:

Finite element method

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  1. Department of Civil Engineering, NIT Agartala, Agartala, India

    Sonu Kumar Gupta & Surajit Das

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  1. Sonu Kumar Gupta
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Correspondence to Sonu Kumar Gupta.

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Gupta, S.K., Das, S. Multiple Damage Identification in a Beam Using Artificial Neural Network-Based Modified Mode Shape Curvature. Arab J Sci Eng 47, 4849–4864 (2022). https://doi.org/10.1007/s13369-021-06267-2

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