Free vibrations of delaminated beam-type structures with crack bridging

Composite Structures

Volumn 61, Issue 1-2, 2003, Pages 129-142

  Brandinelli, Luigi ^a   Massabò, Roberta ^b  

^a UNIVERSITY OF GENOA   (Italy)

^b NORTHWESTERN UNIVERSITY   (United States)

Author keywords

Beam theory; Composite laminates; Delamination; Dynamics; Natural frequencies of vibration; Through thickness reinforcement

Indexed keywords

DELAMINATION; NATURAL FREQUENCIES; PLATES (STRUCTURAL COMPONENTS); STIFFNESS; VIBRATIONS (MECHANICAL);

CRACK BRIDGING;

COMPOSITE STRUCTURES;

DELAMINATION; FIBER REINFORCED COMPOSITE; LAMINATE; STIFFNESS; STITCH; VIBRATION;

EID: 0038015761     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8223(03)00035-7     Document Type: Article

References (37)

1. Wang, J. T., Liu, Y. Y., & Gibby, J. A. (1982). Vibration of split beams. J. Sound Vibrat., 84(4), 491-502.
2. Shen, M., & Grady, J. E. (1992). Free vibrations of delaminated beams. AIAA J., 30(5), 1361-1370.
3. Luo, H., & Hanagud, S. (2000). Dynamics of delaminated beams. Int. J. Solids Struct., 37 1501-1519.
4. Yang, P. C., Norris, C. H., & Stavsky, Y. (1966). Elastic wave propagation in heterogeneous plates. Int. J. Solids Struct., 2 665-684.
5. Whitney, J. M., & Leissa, A. W. (1969). Analysis of heterogeneous anisotropic plates. J. Appl. Mech., 36(2), 261-266.
6. Whitney, J. M., & Pagano, N. J. (1970). Shear deformation in heterogeneous anisotropic plates. J. Appl. Mech., 37 1031-1036.
7. Massabò, R., & Cox, B. N. (1999). Concepts for bridged mode II delamination cracks. J. Mech. Phys. Solids, 47(6), 1265-1300.
8. Mouritz, A. P., Bannister, M. K., Falzon, P. J., & Leong, K. H. (1999). Review of applications for advanced three-dimensional fibre textile composites. Compos. A, 30(12), 1445-1461.
9. Freitas, G., Magee, C., Dardzinski, P., & Fusco, T. (1994). Fiber insertion process for improved damage tolerance in aircraft laminates. J. Adv. Mater., 25(4), 36-43.
10. Dransfield, K., Baillie, C., & Mai, Y. W. (1994). Improving the delamination resistance of CFRP by stitching--a review. Compos. Sci. Technol., 50 305-317.
11. Dexter, H. B., & Funk, J. G. (1986). Impact resistance and interlaminar fracture toughness of through-the-thickness reinforced graphite/epoxy. AIAA J., 86-CP 700-709.
12. Jain, L. K., & Mai, Y. W. (1994). Analysis of stitched laminated ENF specimens for interlaminar mode-II fracture toughness. Int. J. Fract., 68(3), 219-244.
13. Jain, L. K., & Mai, Y. W. (1995). Determination of mode II delamination toughness of stitched laminated composites. Compos. Sci. Technol., 55 241-253.
14. Massabò, R., Mumm, D., & Cox, B. N. (1998). Characterizing mode II delamination cracks in stitched composites. Int. J. Fract., 92(1), 1-38.
15. Massabò, R., & Cox, B. N. (2001). Unusual characteristics of mixed mode delamination fracture in the presence of large scale bridging. Mech. Compos. Mater. Struct., 8(1), 61-80.
16. Ramkumar RL, Kulkarni SV, Pipes RB. Free vibration frequencies of a delaminated beam. In: Reinforced Plastics/Composites Institute, 34th annual technical conference; 1979. The Society of the Plastics Industry Inc. 22-E. p. 1-5
17. Mujumdar, P. M., & Suryanarayan, S. (1988). Flexural vibration of beams with delaminations. J. Sound Vibrat., 125(3), 441-461.
18. Tracy, J. L., & Pardoen, G. C. (1989). Effect of delamination on the natural frequencies of composite laminates. J. Compos. Mater., 23 1201-1215.
19. Ju, F., Lee, H. P., & Lee, K. H. (1994). Dynamic response of delaminated composite beams with intermittent contact in delaminated segments. Compos. Eng., 4(12), 1211-1224.
20. Kwon, Y. W., & Aygunes, H. (1994). Dynamic finite element analysis of laminated beams with delamination cracks using contact-impact conditions. Comput. Struct., 58(6), 1161-1169.
21. Lu, X., Lestari, W., & Hanagud, S. (2001). Nonlinear vibrations of a delaminated beam. J. Vibrat. Contr., 7 803-831.
22. Lee, J. (2000). Free Vibration analysis of delaminated composite beams. Comput. Struct., 74 121-129.
23. Tenek, H. T., Henneke, E. G., & Gunzburger, M. D. (1993). Vibration of delaminated composite plate and some applications to non-destructive testing. Compos. Struct., 23(3), 253-262.
24. Nosier, A., & Reddy, J. N. (1992). On vibration and buckling of symmetric laminated plates according to shear deformation theory. Acta Mech., Part I, 94 123-144.
25. Nosier, A., & Reddy, J. N. (1992). On vibration and buckling of symmetric laminated plates according to shear deformation theory. Acta Mech., Part II, 94 145-169.
26. Nosier, A., Kapania, R. K., & Reddy, J. N. (1993). Free-vibration analysis of laminated plates using a layerwise theory. AIAA J., 31(12), 2335-2346.
27. Yin, W. L., & Jane, K. C. (1992). Vibration of delaminated beam-plate relative to buckled states. J. Sound Vibrat., 156(1), 125-140.
28. Jane, K. C., & Chen, C. C. (1998). Postbuckling deformation and vibration of a delaminated beam-plate with arbitrary delamination location. Mech. Res. Commun., 25(3), 337-351.
29. Chang, T. P., & Liang, J. Y. (1998). Vibration of postbuckled delaminated beam-plates. Int. J. Solids Struct., 35(12), 1199-1217.
30. Shiau, L. (1992). Delamination effect on flutter of homogeneous laminated plates. J. Aerospace Eng., 6(3), 284-298.
31. Brandinelli L, Massabò R. Dynamic response of delaminated beams in the presence of through-thickness reinforcements [in Italian]. In: Proceedings of the 15th AIMETA conference of the Italian Association of Theoretical and Applied Mechanics, Taormina, Italy, 2001, ISSN 1592-8950
32. Brandinelli L. Delamination fracture and dynamics of advanced composite structures. Thesis for Ph.D. degree, Department of Structural and Geotechnical Engineering, University of Genova, Genova, Italy;2003
33. Meirovitch, L. (1967). Methods of Analytical Dynamics. New York: McGraw-Hill.
34. Keller, H. B. (1968). Numerical methods for two-point boundary value problems. Waltham, MA: Blaisdell.
35. Cox BN, Massabò R, Mumm D, Turrettini A, Kedward K. Delamination fracture in the presence of through-thickness reinforcement. In: Scott ML, editor, Proceedings of ICCM-11 international conference on composite materials, Venue, Gold Coast, Australia, vol. 1. Melbourne: Woohhead Publishing; 1997. p. 159-77
36. Turrettini A. Thesis for masters degree. Department of Mechanical Engineering, University of California, Santa Barbara; 1996
37. Press, W. P., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (1992). Numerical recipes in Fortran. UK: Cambridge University Press.