Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-17T06:13:00.607Z Has data issue: false hasContentIssue false
  • English
  • Français

Free Vibration of Rectangular Plate with Delamination

Published online by Cambridge University Press:  05 May 2011

L.-C. Shiau  and
J.-Y. Zeng
L.-C. Shiau*
Affiliation:
Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
J.-Y. Zeng*
Affiliation:
Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Professor, corresponding author
**Former Graduate student
Get access

Abstract

In this paper, the effect of delamination on free vibration of a simply supported rectangular homogeneous plate with through-width delamination was investigated by the finite strip method. A constrained model was used and a finite strip with bending and in-plane stiffness was derived for the free vibration analysis. The effects of delamination length, delamination location in the thickness-wise and spanwise directions, and aspect ratio of the plate on the natural frequencies of the plate were presented. Results show that the delamination has considerable effect on the natural frequencies of the plate. The aspect ratio of the plate is also having significant effect on the natural frequency of the plate, especially on the mode 2 frequency of the plate.

Keywords

Free vibrationDelaminationRectangular plate.
Type
Articles
Information
Journal of Mechanics , Volume 26 , Issue 1 , March 2010 , pp. 87 - 93
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.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. 1–5 (1979).Google Scholar
2.Wang, J. T. S., Liu, Y. Y. and Gibby, J. A.“Vibration of Split Beams,” Journal of Sound and Vibration, 84, pp. 491–502 (1982).Google Scholar
3.Mujumdar, P. M. and Suryanarayan, S., “Flexural Vibrations of Beams with Delaminations,” Journal of Sound and Vibration, 125, pp. 441–461 (1988).Google Scholar
4.Tracy, J. J. and Pardoen, G. C., “Effect of Delamination on the Natural Frequencies of Composite Laminates,” Journal of Composite Materials, 23, pp. 1200–1215 (1982).Google Scholar
5.Shen, M-H. H. and Grady, J. E., “Free Vibrations of Delaminated Beams,” AIAA Journal, 30, pp. 1361–1370(1992).CrossRefGoogle Scholar
6.Tenek, L. H., Henneke, E. G. and Gunzdurger, M. D., “Vibration of Delaminated Composite Plates and Some Application to Non-Destructive Testing,” Composite Structures, 23, pp. 253–262 (1993).Google Scholar
7.Chen, H. P., “Free Vibration of Prebuckled and Postbuckled Plates with Delamination,” Computer Science and Technology, 51, pp. 451–462 (1994).CrossRefGoogle Scholar
8.Gadelrab, R. M., “The Effect of Delamination on the Natural Frequencies of a Laminated Composite Beam,” Journal of Sound and Vibration, 197, pp. 283–292 (1996).CrossRefGoogle Scholar
9.Saravanos, D. A. and Hopkins, D. A., “Effects of Delaminations on the Damped Dynamic Characteristics of Composite Laminates: Analysis and Experiments,” Journal of Sound and Vibration, 192, pp. 977–993 (1996).Google Scholar
10.Luo, H. and Hanagud, S., “Dynamics of Delaminated Beams,” International Journal of Solids and Structures, 37, pp. 1501–1519 (2000).CrossRefGoogle Scholar
11.Zak, A., Krawczuk, M. and Ostachowicz, M., “Numerical and Experimental Investigation of Free Vibration of Multilayer Delaminated Composite Beams and Plates,” Computational Mechanics, 26, pp. 309–315 (2000).Google Scholar
12.Zak, A., Krawczuk, M. and Ostachowicz, W., “Vibration of a Laminated Composite Plate with Closing Delamination,” Journal of Intelligent Material System Structures, 12, pp. 545–551 (2001).CrossRefGoogle Scholar
13.Chattopadhyay, A., Radu, A. G. and Dragomir-Daescu, D., “A Higher Order Theory for Dynamic Stability Analysis of Delaminated Composite Plates,” Computational Mechanics, 26, pp. 302–308 (2000).Google Scholar
14.Radu, A. G. and Chattopadhyay, A., “Dynamic Stability Analysis of Composite Plates Including Delaminations Using a Higher Order Theory and Transformation Matrix Approach,” International Journal of Solids and Structures, 39, pp. 1949–1965 (2002).CrossRefGoogle Scholar
15.Brandinelli, L. and Massabo, R., “Free Vibrations of Delaminated Beam-Type Structures with Crack Bridging,” Composite Structures, 61, pp. 129–142 (2003).CrossRefGoogle Scholar
16.Chen, H. P.Tracy, J. J. and Nonato, R., “Vibration Analysis of Delaminated Composite Laminates in Prebuckled States Based on a New Constrained Model,” Journal of Composite Materials, 29, pp. 229–256 (1995).CrossRefGoogle Scholar
17.Chang, T. P. and Liang, J. Y., “Vibration of Postbuckled Delaminated Beam-Plates,” International Journal of Solids and Structures, 35, pp. 1199–1217 (1998).CrossRefGoogle Scholar
18.Jane, K. C. and Chen, C. C., “Postbuckling Deformation and Vibration of a Delaminated Beam-Plate with Arbitrary Delamination Location,” Mechanics Research Communications, 25, pp. 337–351 (1998).CrossRefGoogle Scholar
19.Ju, F., Lee, H. P. and Lee, K. H., “Free Vibration of Composite Plates with Delamination Around Cutouts,” Composite Structures, 31, pp. 177–183 (1995).CrossRefGoogle Scholar
20.Kumar, A. and Shrivastava, R. P., “Free Vibration of Square Laminates with Delamination Around a Central Cutout Using HSDT,” Composite Structures, 70, pp. 317–333(2005).CrossRefGoogle Scholar
21.Campanelli, R. W. and Engblom, J. J., “The Effect of Delamination in Graphite/PEEK Composite Plates on Modal Dynamic Characteristics,” Composite Structures, 31, pp. 195–202 (1995).CrossRefGoogle Scholar
22.Hu, N., Fukunaga, H., Kameyama, M., Aramaki, Y. and Chang, F. K., “Vibration Analysis of Delaminated Composite Beams and Plates Using Higher Order Finite Element,” International Journal of Mechanical Science, 44, pp. 1479–1503 (2002).CrossRefGoogle Scholar
23.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. 627–637 (2004).CrossRefGoogle Scholar
24.Chung, YK, Finite Strip Method in Structural Analysis, Pergamon Press, pp. 5–24 (1976).CrossRefGoogle Scholar