1Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
2Professor, Center of Excellent for Fundamental Studies in Structural Engineering, School of Civil Engineering Iran University of Science and Technology, Tehran, Iran
3Assistant Professor, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
4Professor, Structural Department, International Institute of Earthquake Engineering and Seismology, Tehran, Iran
Damage detection has been focused by researchers because of its importance in engineering practices. Therefore, different approaches have been presented to detect damage location in structures. However, the higher the accuracy of methods is required the more complex deliberations. Based on the conventional studies, it was observed that the damage locations and its size are associated with dynamic parameters of the structures. The main objective of this research is to present a sophisticated approach to detect the damage location using multi-objective genetic algorithm (MOGA) along with modified multi-objective genetic algorithm (MMOGA). In this approach natural frequencies are considered as the main dynamic parameters to detect the damage. The finite element method (FEM) is utilized to validate the accuracy of the results extracted from the natural frequencies analysis with consideration of the beams with different support conditions. Accordingly the results emphasize the high accuracy of the proposed method with the maximum error of 5%.
. ASTMC1383-04, A., Standard test method for measuring the P-Wave speed and the thickness of concrete plates using the impact-echo method. 2010, American Society for Testing And Materials (ASTM) USA.
. ASTM, C., Standard test method for pulse velocity through concrete. Annual Book of ASTM Standards, American Society of Testing Material, 2009.
. Amezquita-Sanchez, J.P. and H. Adeli, Signal processing techniques for vibration-based health monitoring of smart structures. Archives of Computational Methods in Engineering, 2016. 23(1): p. 1-15.
. Zhao, B., et al., Structural Damage Detection by Using Single Natural Frequency and the Corresponding Mode Shape. Shock and Vibration, 2016. 2016.
. Goldfeld, Y. and D. Elias, Using the exact element method and modal frequency changes to identify distributed damage in beams. Engineering Structures, 2013. 51: p. 60-72.
. Perera, R., R. Marin, and A. Ruiz, Static–dynamic multi-scale structural damage identification in a multi-objective framework. Journal of Sound and Vibration, 2013. 332(6): p. 1484-1500.
. Mehrjoo, M., N. Khaji, and M. Ghafory-Ashtiany, Application of genetic algorithm in crack detection of beam-like structures using a new cracked Euler–Bernoulli beam element. Applied Soft Computing, 2013. 13(2): p. 867-880.
. Moradi, S., P. Razi, and L. Fatahi, On the application of bees algorithm to the problem of crack detection of beam-type structures. Computers & Structures, 2011. 89(23): p. 2169-2175.
. Zang, C. and M. Imregun, Structural damage detection using artificial neural networks and measured FRF data reduced via principal component projection. Journal of Sound and Vibration, 2001. 242(5): p. 813-827.
.Meruane, V. and W. Heylen, An hybrid real genetic algorithm to detect structural damage using modal properties. Mechanical Systems and Signal Processing, 2011. 25(5): p. 1559-1573.
. Ghasemi, S.H. and P. Ashtari, Combinatorial continuous non-stationary critical excitation in MDOF structures using multi-peak envelope functions. Earthquakes and Structures, 2014. 7(6): p. 895-908.
.Farokhzad Reza, M.B., Ghodrati Amiri Gholamreza, Ghafory-Ashtiany Mohsen, Detecting structural damage in Timoshenko beams based on optimization via simulation (OVS). Journal of Vibroengineering, 2016. 18(8): p. 5074-5095.
.Altammar, H., S. Kaul, and A. Dhingra. Use of Frequency Response for Damage Detection: An Optimization Approach. in ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. 2016. American Society of Mechanical Engineers.
.Hjelmstad, K. and S. Shin, Crack identification in a cantilever beam from modal response. Journal of Sound and Vibration, 1996. 198(5): p. 527-545.
.Ghasemi, S.H., et al., State-of-the-art model to evaluate space headway based on reliability analysis. Journal of Transportation Engineering, 2016: p. 04016023.
. Koh, B., J. Choi, and M. Jeong. Damage Detection through Genetic and Swarm-Based Optimization Algorithms. in International Conference on Engineering, Science, Construction and Operations in Challenging Environments. International Conference on Engineering, Science, Construction and Operations in Challenging Environments. 2010.
.Law, S., Z. Shi, and L. Zhang, Structural damage detection from incomplete and noisy modal test data. Journal of Engineering Mechanics, 1998. 124(11): p. 1280-1288.
.Weaver Jr, W., S.P. Timoshenko, and D.H. Young, Vibration problems in engineering. 1990: John Wiley & Sons.
.Tada, H., P. Paris, and G. Irwin, The analysis of cracks handbook. 2000: New York: ASME Press.
.Petyt, M., Introduction to finite element vibration analysis. 2010: Cambridge university press.
.Khaji, N., M. Shafiei, and M. Jalalpour, Closed-form solutions for crack detection problem of Timoshenko beams with various boundary conditions. International Journal of Mechanical Sciences, 2009. 51(9): p. 667-681.
.Ostachowicz, W. and M. Krawczuk, Analysis of the effect of cracks on the natural frequencies of a cantilever beam. Journal of sound and vibration, 1991. 150(2): p. 191-201.