Damping Analysis of Orthotropic Composites with Interleaved Viscoelastic Layers: Modeling

Abstract

The damping of orthotropic laminates with a single or two interleaved viscoelastic layers is analyzed in the case of rectangular plates. The natural frequencies and modes are first derived using the Ritz method. Next, the transverse shear stresses are deduced from the fundamental equations of motion and then the transverse shear energies can be obtained in each layer. Lastly, the laminate damping is evaluated from the different energies dissipated in orthotropic and viscoelastic layers. Angle-ply laminates with interleaved viscoelastic layers and laminates with external viscoelastic layers are also considered. The modeling developed in this study shows how it is possible to describe the damping effect of interleaved viscoelastic layers considering an energy approach. The process is applied to the case of rectangular plates using the Ritz method. In the case of complex structures, the damping modeling considered in this study can be easily implemented using a finite element procedure.

Keywords

vibration damping orthotropic laminate interleaved viscoelastic layers modeling

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References

Torvik, P. J. (1980). The Analysis and Design of Constrained Layer Damping Treatments, In: Torvik, P. J. (ed.), Damping Applications for Vibration Control, pp. 27-51, American Society of Mechanical Engineers .

Finegan, I. C. and Gibson, R. F. (1999). Recent Research on Enhancement of Damping in Polymer Composites , Composite Structures, 44: 89-98 .

Chandra, R. , Singh, S. P. and Gupta, K. (1999). Damping Studies in Fiber-reinforced Composites - A Review , Composite Structures, 46: 41-51 .

Gibson, R. F. (2000). Modal Vibration Response Measurements for Characterization of Composite Materials and Structures , Composites Science and Technology, 60: 2769-2780 .

Saravanos, D. A. and Pereira, J. M. (1992). Effects of Interply Damping Layers on the Dynamic Characteristics of Composite Plates , AIAA Journal, 30(12): 2906-2913 .

Liao, F. S. , Su, A. C. and Hsu, T.-C. J. (1994). Vibration Damping of Interleaved Carbon Fiber-Epoxy Composite Beams , Journal of Composite Materials, 28(8): 1840-1854 .

Liao, F. S. and Hsu, T.-C. J. (1992). Prediction of Vibration Damping Properties of Polymer-laminated Steel Sheet using Time-temperature Superposition Principle , Journal of Applied Polymer Science, 45: 893-900 .

Shen, I. Y. (1994). Hybrid Damping through Intelligent Constrained Layer Treatments , Journal of Vibration and Acoustics, 116: 341-349 .

Cupial, P. and Niziol, J. (1995). Vibration and Damping Analysis of a Three-layered Composite Plate with a Viscoelastic Mid-layer , Journal of Sound and Vibration, 183(1): 99-114 .

10.

Yim, J. H. , Cho, S. Y. , Seo, Y. J. and Jang, B. Z. (2003). A Study on Material Damping of 0 Laminated Composite Sandwich Cantilever Beams with a Viscoelastic Layer , Composite Structures, 60: 367-374 .

11.

Ni, R. G. and Adams, R. D. (1984). The Damping and Dynamic Moduli of Symmetric Laminated Composite Beams. Theoretical and Experimental Results , Composites Science and Technology, 18: 104-121 .

12.

Plagianakos, T. S. and Saravanos, D. A. (2004). High-order Layerwise Mechanics and Finite Element for the Damped Dynamic Characteristics of Sandwich Composite Beams , International Journal of Solides and Structures, 41: 6853-6871 .

13.

Saravanos, D. A. (1993). Analysis of Passive Damping in Thick Composite Structures , AIAA Journal, 31(8): 1503-1510 .

14.

Saravanos, D. A. (1994). Integrated Damping Mechanics for Thick Composite Laminates , Journal of Applied Mechanics, 61(2): 375-383 .

15.

Berthelot, J.-M. and Sefrani, Y. (2004). Damping Analysis of Unidirectional Glass and Kevlar Fibre Composites , Composites Science and Technology, 64: 27-51 .

16.

Berthelot, J.-M. (in press). Damping Analysis of Laminated Beams and Plates using the Ritz Method , Composite Structures, In Press (available online by Science Direct 14 June 2005).

17.

Berthelot, J.-M. (1999). Composite Materials. Mechanical Behavior and Structural Analysis, Springer, New York .

18.

Sefrani, Y. (2002). Analyse de l’amortissement de materiaux composites a fibres unidirectionnelles, PhD Thesis, Universite du Maine, Le Mans, France.

19.

Berthelot, J.-M. and Sefrani, Y. Damping Analysis of Unidirectional Glass Fibre Composites with Interleaved Viscoelastic Layers. Experimental Investigation and Discussion , Journal of Composite Materials (in press).