In this paper, dynamic behavior of a delaminated composite beam is studied. In particular, the effects of nonlinearity due to restriction on the axial stretch of the delaminated segments and nonlinearity due to the deflection-amplitude-dependent axial interaction are studied. The restriction to the axial stretch is due to the rest of the beam in which the delaminated segment is embedded. Perturbation methods are used to study nonlinear normal modes. The effects of nonlinearity on the spatial variation of the normal modes and the amplitude-dependent natural frequencies are discussed.
Abhyankar, N.S., Hall, E.K., and Hanagud, S.V., 1993, "Chaotic vibrations of beams: Numerical solution of partial differential equations," Journal of Applied Mechanics60, 167-174.
2.
Antman, S.S., 1995, Nonlinear Problems of Elasticity, Springer-Verlag, New York.
3.
Chen, H.P., 1994, "Free vibration of prebuckled and postbuckled plates with delamination," Composites Science and Technology51(3), 457-462.
4.
Gummadi, L.B.N. and Hanagud, S., 1990, "Delamination in smart structures—A parametric study on vibrations," in A Collection of Technical Papers/AIAA/ASME/ASCE/AHS/ASC 31st Structures, Structural Dynamics and Materials Conference, April 2-4, pp. 2417-24526.
5.
Hanagud, S. and Luo, H., 1994, "Modal analysis of a delaminated beam," in Proceedings of the 10th International Conference on Experimental Mechanics, Lisbon, Portugal, June 18-22, pp. 880-887.
6.
Hanagud, S. and Luo, H., 1997, "Damage detection and health monitoring based on structural dynamics," International Workshop on Structural Health Monitoring, Stanford, CA, September 18-20.
7.
Ju, F., Lee, H.P., and Lee, K.H., 1994, "Dynamic response of delaminated composite beams with intermittent contact in delaminated segments," Composite Engineering4(12), 1211-1224.
8.
Lacarbonara, W., Nayfeh, A.H., and Kreider, W., 1998, "Experimental validation of reduction methods for nolinear vibrations of distributed-parameter systems: Analysis of a buckled beam," Nonlinear Dynamics17, 95-117.
9.
Luo, H. and Hanagud, S., 1995, "Delamination detection using dynamic characteristics of composite plates," in 36th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and AIAA/ASME Adaptive Structures Forum, Part 1, New Orleans, LA, April 10-13.
10.
Luo, H. and Hanagud, S., 1996, "Damage detection and health monitoring of structures using dynamic response and neural network techniques," Technical Report, Georgia Institute of Technology, Atlanta .
11.
Luo, H. and Hanagud, S., 1997, "An integrated equation for changes with structural dynamics characteristics of damaged structure," International Journal of Solid and Structures, December, pp. 4557-4579.
12.
Mujumdar, P.M. and Suryanarayan, S. , 1988, "Flexural vibrations of beams with delaminations," Journal of Sound and Vibration125(3), 441-461.
13.
Nayfeh, A.H., 1981, Introduction to Perturbation Techniques, John Wiley, New York.
14.
Nayfeh, A.H., 1985, Problems in Perturbation, Wley , Chichester, UK.
15.
Nayfeh, A.H., Chin, C., and Nayfeh, S.A., 1995, "Nonlinear normal modes of a cantilever beam," Journal of Vibration and Acoustics177, 477-481.
16.
Nayfeh, A.H., Kreider, W., and Anderson, T.J., 1995, "Investigation of natural frequencies and mode shapes of buckled beam," AIAA Journal33, 1121-1126.
Ramkumar, R.K., Kulkarni, S.V., and Pipes, R.B., 1979, "Free vibrations of a delaminated beam," in Society of the Plastics Industry, Reinforced Plastics/Composites Institute, Annual Conference—34th Proceedings, New Orleans, LA, January 30-February 2, pp. 1-5.
19.
Shen, M.H. and Grady, J.E., 1992, "Free vibrations of delaminated beams," AIAA Journal30(5), 1361-1370.
20.
Tseng, W.Y. and Dugundji, J., 1971, "Nonlinear vibration of a buckled beam under harmonic excitations," Journal of Applied Mechanics38, 467-476.
21.
Vakakis, A.F., 1996, Normal Modes and Localization in Nonlinear Systems , Wiley, Chichester, UK.
22.
Wang, J.T.S., Liu, Y.Y., and Gibby, J.B., 1982, "Vibration of split beams," Journal of Sound and Vibration84(4), 491-502.