Effect of Soft Honeycomb Core on Flexural Vibration of Sandwich Panel using Low Order and High Order Shear Deformation Models

Abstract

Low order and high order shear deformation models are applied to investigate the effect of honeycomb core (transversely shear deformable) on flexural vibration of thick rectangular sandwich panel with isotropic facesheets. Strain and kinetic energy of sandwich panel are expressed in terms of material properties and structural parameters. Partial differential equations are derived based upon a variational principle. Solutions in Navier form are obtained for a simply supported rectangular panel. The effect of honeycomb core parameters, such as characteristic angle, cell wall thickness, and cell size is studied. Comparison between low order model, high order model, and finite element method is provided. It is shown that in most cases results from a high order model without facesheet shear effect are close to those from finite element analysis.

Keywords

honeycomb core sandwich panel flexural vibration high order shear deformation model low order shear deformation model

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References

Adams, R. D. and Maheri, M. R. (1993). Dynamic Shear Properties of Structural Honeycomb Materials , Composites Science and Technology (UK), 47(1): 15-23 .

Maheri, M. R. and Adams, R. D. (1994). Steady-state Flexural Vibration Damping of Honeycomb Sandwich Beams , Composites Science and Technology (UK), 52(3): 333-347 .

Chen, Y.-H. and Sheu, J.-T. (1994). Dynamic Characteristics of Layered Beam with Flexible Core , Journal of Vibration and Acoustics, Transaction of ASME, 116(3): 350-356 .

Sakiyama, T. , Matsuda, H. and Morita, C. (1996). Free Vibration Analysis of Continuous Sandwich Beams with Elastic or Viscoelastic Cores by Applying the Discrete Green Function , Journal of Sound and Vibration, 198(4): 439-454 .

Mindlin, R. D. (1951). Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates , Trans. ASME, Journal of Applied Mechanics, 18(2): 31-38 .

Kant, T. , Arora, C. P. and Varaiya, J. H. (1992). Finite Element Transient Analysis of Composite and Sandwich Plates Based on a Refined Theory and a Mode Superposition Method , Composite Structures, 22(2): 109-120 .

Kant, T. and Kommineni, J. R. (1994). Large Amplitude Free Vibration Analysis of Cross-Ply Composite and Sandwich Laminates with a Refined Theory and C0 Finite Elements , Computers and Structures, 50(1): 123-134 .

Lee, L. J. and Fan, Y. J. (1996). Bending and Vibration Analysis of Composite Sandwich Plates , Computers and Structures, 60(1): 103-112 .

Bardell, N. S. , Dunsdon, J. M. and Langley, R. S. (1997). Free Vibration Analysis of Coplanar Sandwich Panels , Composite Structures, 38(1-4): 463-475 .

10.

Dawe, D. J. and Roufaeil, O. L. (1980). Rayleigh-Ritz Vibration Analysis of Mindlin Plates , Journal of Sound and Vibration, 69(3): 345-359 .

11.

Wang, C. M. (2001). Deducing Thick Plate Solutions from Classical Thin Plate Solutions , Structural Engineering and Mechanics, 11(1): 89-104 .

12.

Wang, C. M. (1995). Vibration Frequencies of Simply Supported Polygonal Sandwich Plates via Kirchhoff Solutions , Journal of Sound and Vibration, 190(2): 255-260 .

13.

Wang, C. M. (1994). Natural Frequencies Formula for Simply Supported Mindlin Plates , Trans. ASME, Journal of Vibration and Acoustics, 116(4): 536-540 .

14.

Reddy, J. N. (1984). A Simple Higher-Order Theory for Laminated Composite Plates , Trans. ASME, Journal of Applied Mechanics, 51(4): 745-752 .

15.

Liu, Q. and Zhao, Y. (2002). Role of Anisotropic Core in Vibration Properties of Honeycomb Sandwich Panels , Journal of Thermoplastic Composite Materials, 15(1): 23-32 .

16.

Liu, Q. and Zhao, Y. (2001). Prediction of Natural Frequencies of a Sandwich Panel Using Thick Plate Theory , Journal of Sandwich Structures and Materials, 3(4): 289-309 .

17.

Grediac, M. (1993). A Finite Element Study of the Transverse Shear in Honeycomb Cores , International Journal of Solids and Structures, 30(13): 1777-1788 .

18.

Masters, I. G. and Evans, K. E. (1996). Models for the Elastic Deformation of Honeycombs , Composite Structures, 35(4): 403-422 .

19.

Gibson, L. J. , Ashby, M. F. , Schajer, G. S. and Robertson, C. I. (1982). Mechanics of Two-dimensional Cellular Materials , Proc. R. Soc. London, A382(1782): 25-42 .