Application of elastic support assumption for accuracy improvement of crack detection in beams using firefly algorithm

Authors

Abstract

In this study, elastic support assumption was used for crack detection in beams. At first, the model of beam was updated by assuming that boundary conditions of beam restrained by rotational and translational springs. Experimental modal data of intact beam are considered as input in this stage. An inverse problem was used to determine unknown values of support springs’. At the second stage, developed model for the beam at the first stage was then employed. Crack detection has been done using an inverse problem. Natural frequencies of cracked beam are considered as input in this stage while severity and location of crack are unknown. Inverse problems are solved by using firefly algorithm where this algorithm show suitable convergence rate. Efficiency of proposed method for single and multiple crack detection in beams using experimental data were compared with other studies. Results indicate that proposed method has better accuracy regarding crack severity and location detection.

Keywords

Main Subjects

References

[1] Salawu OS (1997) Detection of structural damage through changes in frequency: a review. Eng Struct 19(9): 718-723.
[2]  Maghsoodi A, Ghadami A, Mirdamadi HR (2013)  Multiple-crack damage detection in multi-step beams by a novel local flexibility-based damage index. J Sound Vib 332(2): 294-305.
[3] Nahvi H, Jabbari M (2005) Crack detection in beams using experimental modal data and finite element model. Int J Mech Sci 47 (10): 1477-1497.
[4]  Khorram A, Rezaeian M, Bakhtiari-Nejad F (2013) Multiple cracks detection in a beam subjected to a moving load using wavelet analysis combined with factorial design. Euro J Mech A/Solid 40: 97-113.
[5] Nguyen KV (2013) Comparison studies of open and breathing crack detections of a beam-like bridge subjected to a moving vehicle. Eng Struct 51: 306-314.
[6]  Fan W, Qiao P (2013)  Vibration-based Damage Identification Methods: A Review and Comparative Study. Struct Health Monit 10(1): 83-111.
[7] Moradi S, Razi P, Fatahi L (2011) On the application of bees algorithm to the problem of crack detection of beam-type structures. Comput Struct 89: 2169-2175.
[8]  Vakil-Baghmisheh MT, Peimani M, Sadeghi MH, Ettefagh MM (2008) Crack detection in beam-like structures using genetic algorithms. Appl Soft Comput 8(2): 1150-1160.
[9] Moradi S, Kargozarfard MH (2013) On multiple crack detection in beam structures. J Mech Sci Tech 27(1): 47-55.
[10]  Khaji N, Mehrjoo M (2014) Crack detection in a beam with an arbitrary number of transverse cracks using genetic algorithms. J Mech Sci Tech 28(3): 823-836.
[11]  Jena PK, Parhi DR (2015) A Modified Particle Swarm Optimization Technique for Crack Detection in Cantilever Beams. Arab J Sci Eng doi: 10.1007/s13369-015-1661-6
[12]  Tada H, Paris P, Irwin G (1985) The Stress Analysis of Cracks Handbook. Research Corporation, Missouri.
[13]  Torabi K, Dastgerdi JN, Marzban S (2012) Solution of free vibration equations of Euler-Bernoulli cracked beams by using differential transform method. Appl Mech Mater 110–116: 4532–4536.
[14] Yang X-S (2009) Firefly algorithms for multimodal optimization. Lecture notes in computer science 5792: 69–178.
[15]  Gandomi AH, Yang X-S, Alavi AH (2011) Mixed variable structural optimization using Firefly Algorithm. Comput Struct 89: 2325–2336.
[16]  Mirzabeigy A, Bakhtiari-Nejad F (2014) Semi-analytical approach for free vibration analysis of cracked beams resting on two-parameter elastic foundation with elastically restrained ends. Front Mech Eng 9(2): 191–202.
[17] Patil DP, Maiti SK (2005) Experimental verification of a method of detection of multiple cracks in beams based on frequency measurements. J Sound Vib 281: 439–451.
Journal of Solid and Fluid Mechanics
Volume 5, Issue 4 - Serial Number 4
January and February 2016
Pages 105-115

Files

Share

How to cite

Statistics