Free vibration analysis of a composite beam with single delamination- An improved free and constrained model

Nia, M.; Torabi, K.; Heidari-Rarani, M.

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Engineering Solid Mechanics

ISSN 2291-8752 (Online) - ISSN 2291-8744 (Print) Quarterly Publication Volume 2 Issue 4 pp. 313-320 , 2014

Free vibration analysis of a composite beam with single delamination- An improved free and constrained model Pages 313-320 Download PDF

Authors: M. Shariati Nia, K. Torabi, M. Heidari-Rarani

Keywords: Composite beams, Delamination, Free vibration, Natural Frequency

Abstract: In this paper, an analytical method is proposed for calculation of natural frequencies of a delaminated composite beam from both free and constrained mode frequencies. In previous studies, the frequencies of a delaminated composite beam were computed with assumption of occurring open or close delamination during the vibration. According to this assumption, two separated modes, i.e., “free mode” and “constrained mode”, are occurred in vibration of the delaminated beam. In fact, a delamination may breathe (open and close) during the vibration and the assumptions of the free or constrained mode models are not completely correct in the whole of the vibration period. For this reason, a new formulation is proposed for calculation of natural frequencies based on the breathing of delamination. The obtained results are compared with various theoretical and experimental results available in the literature. Thus, the effects of location and size of delamination can be investigated on the natural frequencies of delaminated beams.

How to cite this paper

 Nia, M., Torabi, K & Heidari-Rarani, M. (2014). Free vibration analysis of a composite beam with single delamination- An improved free and constrained model.Engineering Solid Mechanics, 2(4), 313-320.

Refrences

Della, C.N., & Shu, D. (2005). Free vibration analysis of composite beams with overlapping delaminations. European Journal of Mechanics-A/Solids, 24(3), 491-503.

Della, C. N., & Shu, D. (2007). Free vibration analysis of delaminated bimaterial beams. Composite Structures, 80(2), 212-220.

Della, C. N., & Shu, D. (2007). Vibration of delaminated composite laminates: A review. Applied Mechanics Reviews, 60(1), 1-20.

Della, C. N., & Shu, D. (2009). Free vibration analysis of multiple delaminated beams under axial compressive load. Journal of Reinforced Plastics and Composites, 28(11), 1365-1381.

Hu, J.S. & Hwu, C. (1995). Free vibration of delaminated composite sandwich beams. AIAA Journal, 33(10), 1911–1918.

Karmakar, A., Roy, H. & Kishimoto, K. (2005). Free vibration analysis of delaminated composite pre-twisted shells, Aircraft Engineering and Aerospace Technology, 77(6), 486–490.

Lee, J. (2000). Free vibration analysis of delaminated composite beams. Computers and Structures, 74, 121–129.

Luo, H., & Hanagud, S. (2000). Dynamics of delaminated beams. International Journal of Solids and Structures, 37, 1501-1519.

Mujumdar, P.M., & Suryanarayan, S. (1988). Flexural vibrations of beams with delaminations. Journal of Sound and Vibration, 125 (3), 441-461.

Ramtekkar, G.S. (2009). Free vibration analysis of delaminated beams using mixed finite element model. Journal of Sound and Vibration, 328, 428–440.

Ramkumar, R.L., Kulkarni, S.V., & Pipes, R.B. (1979). Free vibration frequencies of a delaminated beam. 34th Annual Technical Conference, Reinforced Plastics/Composites Institute. The Society of the Plastics Industry Inc., 1-5.

Shen, M.-H.H., & Grady, J.E. (1992). Free vibrations of delaminated beams. AIAA Journal, 30(5), 1361-1370.

Shu, D., & Della, C.N. (2004). Free vibration analysis of composite beams with two non-overlapping delaminations. International Journal of Mechanical Sciences, 46(4), 509–526.

Shu, D., & Della, C.N. (2004). Vibrations of multiple delaminated beams. Composite Structures, 64(3–4), 467–77.

Wang, J.T.S., Liu, Y.Y., & Gibby, J.A. (1982). Vibration of split beams. Journal of Sound and Vibrations, 84(4), 491-502.

Zou, Y., Tong, L., & Steven G.P. (2000). Vibration-based model-dependent damage (delamination) identification and health monitoring for composite structures- A review. Journal of Sound and Vibration, 230(2), 357–378.