Detecting width-wise partial delamination in the composite beam using generalized fractal dimension

Smart Structures and Systems

Volumn 19, Issue 1, 2017, Pages 91-103

  Keshava Kumar, S ^a   Ganguli, Ranjan ^a   Harursampath, Dineshkumar ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Damage detection; Finite elements; Fractal dimension; Frequency shift; Partial delamination

Indexed keywords

BOUNDARY CONDITIONS; COMPOSITE BEAMS AND GIRDERS; DAMAGE DETECTION; FINITE ELEMENT METHOD; LAMINATED COMPOSITES;

APPROPRIABILITY; COMPOSITE BEAM; COMPOSITE LAMINATED BEAMS; COUNTER-INTUITIVE PHENOMENON; DELAMINATED BEAMS; DELAMINATION DETECTIONS; FREQUENCY SHIFT; TORSIONAL MODE SHAPE;

FRACTAL DIMENSION;

EID: 85011604872     PISSN: 17381584     EISSN: 17381991     Source Type: Journal    
DOI: 10.12989/sss.2017.19.1.091     Document Type: Article

References (45)

1. Bai, R., Ostachowicz, W., Radzienski, M. and Cao, M. (2014a), "Vibrational damage detection using fractal surface singularities with noncontact laser measurement". J. Vib. Control, 1-13.
2. Bai, R. B., Ostachowicz, W., Cao, M. S. and Su, Z. (2014b), "Crack detection in beams in noisy conditions using scale fractal dimension analysis of mode shapes", Smart Mater. Struct., 23 (6).
3. Bai, R. B., Song, X. G., Radzienski, M., Cao, M. S., Ostachowicz, W. and Wang, S. S. (2014), "Crack location in beams by data fusion of fractal dimension features of laser-measured operating deflection shapes", Smart Struct. Syst., 13(6), 975-991.
4. Bathe, K. J. (1982), Finite Element Procedures in Engineering Analysis. Prentice Hall.
5. Cao, M. S., Ostachowicz, W., Bai, R. B. and Radzienski, M. (2013), "Fractal mechanism for characterizing singularity of mode shape for damage detection", Appl. Phys. Lett., 103, 221906.
6. Chandrupatla, T. R. and Belegundu, A. D. (2002), Introduction to Finite Elements in Engineering. Pearson Education.
7. Chang, F. and Kutlu, Z. (1989), "Response of composite shells containing a delamination", Appl. Mech. Rev., 40(11), 48-53.
8. Della, C. N. and Shu, D. (2007), "Vibration of delaminated composite laminates: A review", Appl. Mech. Rev., 60(1), 1-20.
9. Fan, W. and Qiao, P. (2010), "Vibration-based damage identification methods: A review and comparative study", Struct. Health Monit., 10(1), 83-111.
10. Farhidzadeh, A., Dehghan-Niri, E., Moustafa, A., Salamone, S. and Whittater, A. (2013), "Damage assessment of reinforced concrete structures using fractal analysis of residual crack patterns", Exp. Mech., 53(9), 1607-1619.
11. Gayathri, P., Umesh, K. and Ganguli, R. (2010), "Effect of matrix cracking and material uncertainty on composite plates", Reliab. Eng. Syst. Saf., 95(7), 716-728.
12. Guruprasad, P. J. (2005), Cross-sectional analysis of a pretwisted anisotropic strip in the presence of delamination. Master's thesis, Indian Institute of Science, Bangalore.
13. Hadjileontiadis, L. J. and Douka, E. (2007), "Crack detection in plates using fractal dimension", Eng. Struct., 29, 1612-1625.
14. Hadjileontiadis, L. J., Douka, E. and Trochidis, A. (2005), "Fractal dimension analysis for crack identification in beam structures", Mech. Syst. Signal Pr., 19, 659-674.
15. Hakim, S. J. S. and Razak, H. A. (2014), "Modal parameters based structural damage detection using artificial neural networks - a review", Smart Struct. Syst., 14(2), 159-189.
16. Hou, J. P. and Jeronimidis, G. (1999), "Vibration of thin composite plates", Compos.: Part A, 30, 989-995.
17. Jefferson, B. and Jarvis, P. R. (2006), Interface Science in Drinking Water Treatment, volume 10, Elsevier.
18. Jones, R. M. (1999), Mechanics of composite materials. Taylor & Francis, 2nd Ed.
19. Jun, L., Hongxing, H. and Rongying, S. (2008), "Dynamic finite element method for generally laminated composite beams", Int. J. Mech. Sci., 50(3), 466-480.
20. Katz, M. J. (1987), "Fractals and the analysis of waveforms", Comput. Biology Medicine, 18(3), 145-156.
21. Kaveh, A. and Maniat, M. (2015), "Damage detection based on mcss and pso using modal data", Smart Struct. Syst., 15(5), 1253-1270.
22. Keshava Kumar, S., Ganguli, R. and Harursampath, D. (2013), "Partial delamination modeling in composite beams using a finite element method", Finite Elem. Anal. Des., 76, 1-12.
23. Keshava Kumar, S., Ganguli, R. and Harursampath, D. (2015), "Partial delamination detection in rotating beam using generalized fractal dimensions", Proceedings of the 4th Asian Australian Rotorcraft Forum.
24. Kornev, V. M., Kurguzov, V. D, and Astapov, N. S. (2012), "Fracture model of bimaterial under delamination of elasto-plastic structured media", Appl. Compos. Mater., 20, 129-143.
25. Lee, J. (2001), "Center of gravity and shear center of thin-walled open-section composite beams", Compos. Struct., 52, 255-260.
26. Lee, J. and Kim, S. E. (2001), "Flexural-torsional buckling of thinwalled i-section composites", Comput. Struct., 79, 987-995.
27. Lin, X. and Zhang, Y. (2011), "A novel one-dimensional two-node shear-flexible layered composite beam element", Finite Elemen. Anal. Des., 47(7), 676-682.
28. Moustafa, A. and Salamone, S. (2012), "Fractal dimension-based lamb wave tomography algorithm for damage detection in platelike structures", J. Intel. Mat. Syst. Str., 23(11), 1269-1276.
29. Pawar, P. M. and Ganguli, R. (2003), "Genetic fuzzy system for damage detection in beams and helicopter rotor blades", Comput. Method. Appl. M., 192, 2031-2057.
30. Prasad, P. S. and Harursampath, D. (2012), "Closed-form nonlinear sectional analysis of pretwisted anisotropic beam with multiple delaminations", Proceedings of the International Conference on Mechanics of Nano, Micro, Macro Composite Structures (ICMNMMCS), Torino, Italy.
31. Qiao, P., Lestari, W., Shah, M. G. and Wang, J. (2007), "Dynamics based damage detection of composite laminated beams using contact and noncontact measurement system", J. Compos. Mater., 41(10), 1217-1252.
32. Raghavendra, B. S. and Dutt, D. N. (2009), "A note on fractal dimensions of biomedical waveforms", Comput. Biology Medicine, 39, 1006-1012.
33. Rahmatalla, S., Eun, H. C. and Lee, E. T. (2012), "Damage detection from the variation of parameter matrices estimated by incomplete frf data", Smart Struct. Syst., 9(1), 55-70.
34. Reddy, J. N. (1997), "On locking-free shear deformable beam finite elements", Comput. Method. Appl. M., 149, 113-132.
35. Senthil, K., Arockiarajan, A., Palaninathan, R., Santhosh, B. and Usha, K. M. (2013), "Defects in composite structures: Its effects and prediction methods - a comprehensive review", Compos. Struct., 106, 139-149.
36. Sheik, A. H. and Thomsen, O. T. (2008), "An efficient beam element for the analysis of laminated composite beams of thinwalled open and closed cross sections", Compos. Sci. Technol., 68, 2273-2281.
37. Shen, M. H. H. and Grady, J. E. (1992), "Free vibrations of delaminated beams", AIAA J., 30(5), 1361-1370.
38. Swanson, S. R. (1998), "Torsion of laminated rectangular rods", Compo. Struct., 42, 23-31.
39. Theiler, J. (1990), "Estimating fractal dimension", J. Opt. Soc. Am., 7(6), 1055-1073.
40. Tracy, J. J. and Pardoen, G. C. (1989), "Effect of delamination on the natural frequencies of composite laminates", J. Compos. Mater., 23, 1200-1215.
41. Umesh, K. and Ganguli, R. (2009), "Shape and vibration control of a smart composite plate with matrix cracks", Smart Mater. Struct., 18(2), 025002.
42. Venkatesh, G., Ponnusami, S. A. and Harursampath, D. (2012), "Delamination studies on composite laminates - an asymptotic approach", Proceedings of the European solid mechanics conference, Graz, Austria.
43. Wang, J. and Qiao, P. (2007), "Improved damage detection for beam-type structures using a uniform load surface", Struct. Health Monit., 6(2), 99-110.
44. Xiang, J., Nackenhorst, U., Wang, Y., Jiang, Y., Gao, H. and He, Y. (2014), "A new method to detect cracks in plate-like structures with though-thickness cracks", Smart Struct. Syst., 14(3), 397-418.
45. Zou, Y., Tong, L. and Steven, G. (2000), "Vibration-based modeldependent damage (delamination) identification and health monitoring for composite structures - a review", J. Sound Vib., 230(2), 357-378.