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Dynamic Analysis of Composite Laminated Circular Plate with Circular Delamination

  • D.-L. Chen (a1)


In this paper, the effect of delamination on free vibration and primary resonance behaviors of composite circular plate with circular delamination is investigated. Through Reissner Variational Principle, the nonlinear dynamic equilibrium equations, the generalized displacements continuity conditions and the generalized forces equilibrium conditions across delamination front and consistent boundary conditions of delaminated circular plate are obtained. In the work, by introducing Bessel Function and Modified Bessel Function and using Galerkin discretization method, the nonlinear dynamic partial differential equations of delaminated circular plate are transferred into a set of nonlinear ordinary differential equations. Then by using semi-analytic method and multiple scales method, the effects of delamination radius and delamination depth in the thickness-wise on the natural frequency and primary resonance behaviors of delaminated circular plate are presented. The Results show that delamination has considerable effects on the natural frequency and its primary resonance behaviors of delaminated plate.


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1. Saravanis, D. A. and Hopkins, D. A., “Effects of delaminations on the dynamic characteristics of composite laminates analysis and experiment,” Journal of Sound and Vibration. 192, pp. 977993 (1996).
2. Ramkumar, R. L., Kulkarni, S. V. and Pipes, R. B., “Free Vibration Frequencies of a Delaminated Beam,” 34th Annual Technical Conference Proceedings, Society of Plastic Industry Inc., Sec. 22-E, pp. 15 (1979).
3. Wang, J. T. S., Liu, Y. Y. and Gibby, J. A., “Vibration of split beams,” Journal of Sound of Vibration, 84, pp. 491502 (1982)
4. Luo, S. N., Fu, Y. M. and Cao, Z. Y., “Non-linear vibration of composite beams with an arbitrary delamination,” Journal of Sound of Vibration, 271, pp. 535545 (2004)
5. Mujumdar, P. M. and Suryanarayan, S., “Flexural vibrations of beams with delaminations,” Journal of Sound of Vibration, 125, pp. 441461 (1988).
6. Shu, D. and Fan, H., “Free Vibration of a Bimaterial Split Beam,” Composites: Part B, 27, pp. 7984 (1996).
7. Hu, J. S. and Hwu, C., “Free Vibration of Delaminated Composite Sandwich Beams,” AIAA Journal, 33, pp. 19111918 (1995).
8. Luo, H. and Hanagud, S.Dynamics of delaminated beams,” International Journal of Solids and Structures, 37, pp. 15011519 (2000).
9. Qiao, P. H. and Chen, F. L., “On the improved dynamic analysis of delaminated beams,” Journal of Sound and Vibration, 331, pp. 11431163 (2013).
10. Chen, H. P., “Free vibration of prebucked and postbuckled plates with delamination,” Computer Science and Technology, 51, pp. 451462 (1994).
11. Zak, A., Krawczuk, M. and Ostachowicz, W., “Vibration of a laminated composite plate with closing delamination,” Journal of intelligent Material System Structures, 12, pp. 545551 (2001).
12. Shiau, L. C. and Zeng, J. Y., “Free vibration of rectangular plate with delamination,” Journal of Mechanics, 26, pp. 8793 (2010).
13. Kumar, S. K., Cinefra, M., Carrera, E. and Ganguli, R, Harursampath, D.Finite element analysis of free vibration of the delaminated composite plate with variable kinematic multilayered plate elements,” Composites: Part B, 66, pp. 453465 (2014).
14. Hu, N., Fukunage, H., Kameyama, M., Aramaki, Y. and Chang, F. K., “Vibration analysis of delamination composite beams and plates using higher order finite element,” International Journal of Mechanical Science, 44, pp. 14791503 (2002).
15. Yam, L. H., Wei, Z., Cheng, L. and Wong, W. O., “Numerical analysis of multi-layer composite plates with internal delamination,” Computers and Structures, 82, pp. 627637 (2004).
16. Chen, J., Wang, H. and Qing, G. H., “Modeling vibration behavior of delaminated composite laminates using meshfree method in Hamiltion system,” Applied Mathematics and Mechanics, 36, pp. 633654 (2015).
17. Chen, D. L. and Fu, Y. M., “Nonlinear dynamic response of an axisymmetrically -delaminated circular plate with considering contact effect,” Acta Mech Solida Sinica, 28, pp. 406410 (2007).
18. Kim, C. S. and Dickinson, S. M., “On the free, transverse vibration of annuar and circular, thin, sectorial plates subject to certain complicating effects,” Journal of Sound and Vibration, 134, pp. 407421 (1989).
19. Nayfeh, A. H. and Mook, D. T., Nonlinear Oscillations, John Wiley & Sons, New York (1979).


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Dynamic Analysis of Composite Laminated Circular Plate with Circular Delamination

  • D.-L. Chen (a1)


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