The effect of crack geometry on mode shapes of a cracked cantilever beam

References

• ANSYS Release 12.1, ANSYS Inc.
   Google Scholar
• Babu, T. R., and A. S. Sekhar. 2008. “Detection of Two Cracks in a Rotor-bearing System Using Amplitude Deviation Curve.” Journal of Sound and Vibration 314 (3–5): 457–464. doi:10.1016/j.jsv.2008.03.011.
   Web of Science ®Google Scholar
• Binici, B. 2005. “Vibration of Beams with Multiple Open Cracks Subjected to Axial Force.” Journal of Sound and Vibration 287 (1–2): 277–295. doi:10.1016/j.jsv.2004.11.010.
   Web of Science ®Google Scholar
• Khalkar, V. 2018. “Paradigm for Natural Frequency of an Un-cracked Simply Supported Beam and Its Application to Single-edged and Multi-edged Cracked Beam.” Vibrations in Physical Systems 29: 2018028.
   Google Scholar
• Khalkar, V., and S. Ramachandran. 2017a. “Comparative Vibration Study of EN 8 and EN 47 Cracked Cantilever Beam.” Journal of Vibroengineering 19 (1): 246–259. doi:10.21595/jve.2016.17394.
   Web of Science ®Google Scholar
• Khalkar, V., and S. Ramachandran. 2017b. “Free Vibration Study of V-shape and Rectangular Shape Double-sided Cracks in a Cantilever Beam.” Journal of Vibroengineering 19 (2): 1026–1038. doi:10.21595/jve.2016.17653.
   Web of Science ®Google Scholar
• Khalkar, V., and S. Ramachandran. 2017c. “Paradigm for Natural Frequency of an Un-cracked Cantilever Beam and Its Application to Cracked Beam.” Journal of Engineering and Applied Sciences 12: 1714–1729.
   Google Scholar
• Khalkar, V., and S. Ramachandran. 2017d. “Verification of Mathematical Model of a Cantilever Beam to U-shape Cracks.” Journal of Engineering and Applied Sciences 12: 4367–4377.
   Google Scholar
• Khalkar, V., and S. Ramachandran. 2018a. “Study of Free Undamped and Damped Vibrations of a Cracked Cantilever Beam.” Journal of Engineering Science and Technology 13: 449–462.
   Web of Science ®Google Scholar
• Khalkar, V., and S. Ramachandran. 2018b. “The Effect of Crack Geometry on Stiffness of Spring Steel Cantilever Beam.” Journal of Low Frequency Noise, Vibration and Active Control 37 (4): 762–774. doi:10.1177/1461348418765959.
   Web of Science ®Google Scholar
• Khalkar, V., and S. Ramachandran. 2019. “The Effect of Crack Geometry on Non-destructive Fault Detection of EN 8 and EN 47 Cracked Cantilever Beam.” Journal of Noise and Vibration Worldwide 50 (3): 92–100. doi:10.1177/0957456519834537.
   Google Scholar
• Kocharala, R. P., R. K. Bandlam, and M. R. Kuchibotla. 2016. “Finite Element Modeling of a Turbine Blade to Study the Effect of Multiple Cracks Using Modal Parameters.” Journal of Engineering Science and Technology 11-12: 1758–1770.
   Web of Science ®Google Scholar
• Maghsoodi, A., A. Ghadami, and H. R. Mirdamadi. 2013. “Multiple-crack Damage Detection in Multi-step Beams by a Novel Local Flexibility-based Damage Index.” Journal of Sound and Vibration 332 (2): 294–305. doi:10.1016/j.jsv.2012.09.002.
   Web of Science ®Google Scholar
• Pandey, A. K., M. Biswas, and M. M. Samman. 1991. “Damage Detection from Changes in Curvature Mode Shapes.” Journal of Sound and Vibration 145 (2): 321–332. doi:10.1016/0022-460X(91)90595-B.
   Web of Science ®Google Scholar
• Radhakrishnan, V. M. 2004. “Response of a Cracked Cantilever Beam to Free and Forced Vibrations.” Defence Science Journal 54 (1): 31–38. doi:10.14429/dsj.54.2019.
   Web of Science ®Google Scholar
• Sadettin, O., L. Murat, M. H. Dirikolu, and M. Z. Gazi. 2016. “The Effect of Crack Geometry on the Nondestructive Fault Detection in a Composite Beam.” International Journal of Acoustics and Vibration 21: 271–273.
   Web of Science ®Google Scholar
• Viola, E., P. Ricci, and M. H. Aliabadi. 2007. “Free Vibration Analysis of Axially Loaded Cracked Timoshenko Beam Structures Using the Dynamic Stiffness Method.” Journal of Sound and Vibration 304 (1–2): 124–153. doi:10.1016/j.jsv.2007.02.013.
   Web of Science ®Google Scholar
• Wang, Y., M. Liang, and J. Xiang. 2014. “Damage Detection Method for Wind Turbine Blades Based on Dynamic Analysis and Mode Shape Difference Curvature Information.” Mechanical Systems and Signal Processing 48 (1–2): 351–367. doi:10.1016/j.ymssp.2014.03.006.
   Web of Science ®Google Scholar
• Zheng, D. Y., and N. J. Kessissoglou. 2004. “Free Vibration Analysis of a Cracked Beam by Finite Element Method.” Journal of Sound and Vibration 273 (3): 457–475. doi:10.1016/S0022-460X(03)00504-2.
   Web of Science ®Google Scholar