Singular spectrum analysis based structural damage identification in beams with multiple breathing cracks

References

• Andreaus, U., and P. Casini. 2016. Identification of multiple open and fatigue cracks in beam-like structures using wavelets on deflection signals. Continuum Mechanics and Thermodynamics 28 (1):361–78.
   Web of Science ®Google Scholar
• Andreaus, U., P. Casini, and F. Vestroni. 2007. Non-linear dynamics of a cracked cantilever beam under harmonic excitation. International Journal of Non-Linear Mechanics 42 (3):566–75.
   Web of Science ®Google Scholar
• Asnaashari, E., and J. K. Sinha. 2014. Application of curvature of residual operational deflection shape (R-ODS) for multiple-crack detection in structures. Structural Monitoring and Maintenance 1 (3):309–22.
   Google Scholar
• Behroozinia, P., S. Khaleghian, S. Taheri, and R. Mirzaeifar. 2019. Damage diagnosis in intelligent tires using time-domain and frequency-domain analysis. Mechanics Based Design of Structures and Machines 47 (1):54–66.
   Web of Science ®Google Scholar
• Bhowmik, B., M. Krishnan, B. Hazra, and V. Pakrashi. 2019. Real-time unified single-and multi-channel structural damage detection using recursive singular spectrum analysis. Structural Health Monitoring 18 (2):563–89.
   Web of Science ®Google Scholar
• Bovsunovsky, A. P., and O. Bovsunovsky. 2007. Crack detection in beams by means of the driving force parameters variation at non-linear resonance vibrations. In Key engineering materials. Proceedings of the 7th International Conference on Damage Assessment of Structures (DAMAS 2007), Torino, Italy, eds. L. Garibaldi, C. Surace, K. Holford, et al., vol. 347, 413–20. Switzerland: Trans Tech Publications Ltd.
   Google Scholar
• Bovsunovsky, A., and C. Surace. 2015. Non-linearities in the vibrations of elastic structures with a closing crack: A state of the art review. Mechanical Systems and Signal Processing 62:129–48.
   Web of Science ®Google Scholar
• Broda, D., L. Pieczonka, V. Hiwarkar, W. J. Staszewski, and V. V. Silberschmidt. 2016. Generation of higher harmonics in longitudinal vibration of beams with breathing cracks. Journal of Sound and Vibration 381:206–19.
   Web of Science ®Google Scholar
• Chang, C. C., and L. W. Chen. 2005. Detection of the location and size of cracks in the multiple cracked beam by spatial wavelet-based approach. Mechanical Systems and Signal Processing 19 (1):139–55.
   Web of Science ®Google Scholar
• Chomette, B. 2020. Nonlinear multiple breathing cracks detection using direct zeros estimation of higher-order frequency response function. Communications in Nonlinear Science and Numerical Simulation 89:105330.
   Web of Science ®Google Scholar
• de Oliveira, M. A., J. Vieira Filho, V. Lopes, Jr, and D. J. Inman. 2017. A new approach for structural damage detection exploring the singular spectrum analysis. Journal of Intelligent Material Systems and Structures 28 (9):1160–74.
   Web of Science ®Google Scholar
• Esen, I., M. A. Eltaher, and A. A. Abdelrahman. 2023. Vibration response of symmetric and sigmoid functionally graded beam rested on elastic foundation under moving point mass. Mechanics Based Design of Structures and Machines 51 (5):2607–31.
   Web of Science ®Google Scholar
• Fattahi, A. M., B. Safaei, Z. Qin, and F. Chu. 2021. Experimental studies on elastic properties of high-density polyethylene-multi walled carbon nanotube nanocomposites. Steel Composites Structures 38 (2):177–87.
   Web of Science ®Google Scholar
• Garcia, D., and I. Trendafilova. 2014. Singular spectrum analysis for identifying structural nonlinearity using free-decay responses: Application detection and diagnosis in composite laminates. In 26th International Conference on Noise and Vibration Engineering. 2014
   Google Scholar
• Gayen, D., R. Tiwari, and D. Chakraborty. 2019. Static and dynamic analyses of cracked functionally graded structural components: A review. Composites Part B: Engineering 173:106982.
   Web of Science ®Google Scholar
• Ghanati, P., and B. Safaei. 2019. Elastic buckling analysis of polygonal thin sheets under compression. Indian Journal of Physics 93 (1):47–52.
   Web of Science ®Google Scholar
• Giannini, O., P. Casini, and F. Vestroni. 2013. Nonlinear harmonic identification of breathing cracks in beams. Computers & Structures 129:166–77.
   Web of Science ®Google Scholar
• Golyandina, N., and A. Korobeynikov. 2014. Basic singular spectrum analysis and forecasting with R. Computational Statistics & Data Analysis 71:934–54.
   Web of Science ®Google Scholar
• Kharazan, M., S. Irani, M. A. Noorian, and M. R. Salimi. 2021. Nonlinear vibration analysis of a cantilever beam with multiple breathing edge cracks. International Journal of Non-Linear Mechanics 136:103774.
   Web of Science ®Google Scholar
• Kim, G. W., D. R. Johnson, F. Semperlotti, and K. W. Wang. 2011. Localization of breathing cracks using combination tone nonlinear response. Smart Materials and Structures 20 (5):055014.
   Web of Science ®Google Scholar
• Lakshmi, K., A. R. M. Rao, and N. Gopalakrishnan. 2017. Singular spectrum analysis combined with ARMAX model for structural damage detection. Structural Control and Health Monitoring 24 (9):e1960.
   Web of Science ®Google Scholar
• Liao, H. 2019. The application of reduced space harmonic balance method for the nonlinear vibration problem in rotor dynamics. Mechanics Based Design of Structures and Machines 47 (2):154–74.
   Web of Science ®Google Scholar
• Loh, C. H., J. H. Li, and S. H. Chao. 2013. Application of singular spectrum analysis to identify the degrading structure using deteriorating distributed element model. Earthquake Engineering & Structural Dynamics 42 (5):743–61.
   Web of Science ®Google Scholar
• Loutridis, S., E. Douka, and A. Trochidis. 2004. Crack identification in double-cracked beams using wavelet analysis. Journal of Sound and Vibration 277 (4–5):1025–39.
   Web of Science ®Google Scholar
• Nuhu, A. A., and B. Safaei. 2022. A comprehensive review on the vibration analyses of small-scaled plate-based structures by utilizing the nonclassical continuum elasticity theories. Thin-Walled Structures 179:109622.
   Web of Science ®Google Scholar
• Onyibo, E. C., and B. Safaei. 2022. Application of finite element analysis to honeycomb sandwich structures: A review. Reports in Mechanical Engineering 3 (1):283–300.
   Google Scholar
• Prawin, J. 2020. Localization of breathing crack in beam-like structures using superharmonic components based on singular value decomposition approach. International Journal of Structural Stability and Dynamics 20 (1):2050014.
   Web of Science ®Google Scholar
• Prawin, J. 2021. Breathing crack damage diagnostic strategy using improved MFCC features. Journal of Intelligent Material Systems and Structures 32 (20):2437–62.
   Web of Science ®Google Scholar
• Prawin, J. 2021. Breathing crack localization in structures based on principal component analysis of forced vibration responses. International Journal of Structural Stability and Dynamics 21 (3):2150041.
   Web of Science ®Google Scholar
• Prawin, J., K. Lakshmi, and A. R. M. Rao. 2018. A novel singular spectrum analysis–based baseline-free approach for fatigue-breathing crack identification. Journal of Intelligent Material Systems and Structures 29 (10):2249–66.
   Web of Science ®Google Scholar
• Prawin, J., K. Lakshmi, and A. R. M. Rao. 2019. A novel vibration based breathing crack localization technique using a single sensor measurement. Mechanical Systems and Signal Processing 122:117–38.
   Web of Science ®Google Scholar
• Prawin, J., K. Lakshmi, and A. R. M. Rao. 2020. Structural damage diagnosis under varying environmental conditions with very limited measurements. Journal of Intelligent Material Systems and Structures 31 (5):665–86.
   Web of Science ®Google Scholar
• Prawin, J., and A. Rama Mohan Rao. 2020. Vibration-based breathing crack identification using non-linear intermodulation components under noisy environment. Structural Health Monitoring 19 (1):86–104.
   Web of Science ®Google Scholar
• Pugno, N., C. Surace, and R. Ruotolo. 2000. Evaluation of the non-linear dynamic response to harmonic excitation of a beam with several breathing cracks. Journal of Sound and Vibration 235 (5):749–62.
   Web of Science ®Google Scholar
• Qiao, P., and M. Cao. 2008. Waveform fractal dimension for mode shape-based damage identification of beam-type structures. International Journal of Solids and Structures 45 (22–23):5946–61.
   Web of Science ®Google Scholar
• Ruotolo, R., C. Surace, and C. Mares. 1996. Theoretical and experimental study of the dynamic behaviour of a double-cracked beam. In Proceedings-SPIE the International Society for Optical Engineering: SPIE International Society for Optical (1996); 1560–4.
   Google Scholar
• Safaei, B. 2020. The effect of embedding a porous core on the free vibration behavior of laminated composite plates. Steel and Composite Structures. An International Journal 35 (5):659–70.
   Web of Science ®Google Scholar
• Safaei, B. 2021. Frequency-dependent damped vibrations of multifunctional foam plates sandwiched and integrated by composite faces. The European Physical Journal Plus 136 (6):1–16.
   Web of Science ®Google Scholar
• Safaei, B., E. C. Onyibo, and D. Hurdoganoglu. 2022. Effect of static and harmonic loading on the honeycomb sandwich beam by using finite element method. Facta Universitatis. Series: Mechanical Engineering 20 (2):279–306.
   Web of Science ®Google Scholar
• Safaei, B., E. C. Onyibo, and D. Hurdoganoglu. 2022. Thermal buckling and bending analyses of carbon foam beams sandwiched by composite faces under axial compression. Facta Universitatis. Series: Mechanical Engineering 20 (3):589–615.
   Web of Science ®Google Scholar
• Sekhar, A. S. 2008. Multiple cracks effects and identification. Mechanical Systems and Signal Processing 22 (4):845–78.
   Web of Science ®Google Scholar
• Wang, J., and P. Qiao. 2008. On irregularity-based damage detection method for cracked beams. International Journal of Solids and Structures 45 (2):688–704.
   Web of Science ®Google Scholar
• Yelve, N. P., M. Mitra, and P. M. Mujumdar. 2014. Spectral damage index for estimation of breathing crack depth in an aluminum plate using nonlinear Lamb wave. Structural Control and Health Monitoring 21 (5):833–46.
   Web of Science ®Google Scholar