Abstract
Nowadays, corrugated plates, sandwich panels, and thin plates stiffened by ribs are commonly available structural materials which allow stiffening flat panels against applied loads and structural vibrations. Response to natural vibration of a soft core corrugated composite skin sandwich plate was investigated in this paper, and the natural frequency of the presented model was obtained using finite element method (FEM). The FEM of the problem has been constructed in the commercial software ANSYS 12.0.A trapezoid corrugated shape was studied on the face sheets of the sandwich structure. The model included a wavy soft core which was located between two wavy trapezoid-shaped skins. The core was assumed as a soft orthotropic material and skins are assumed generally as unequally laminated composites. Comparing the present numerical results with values taken from literature demonstrate the accuracy of the proposed model. The numerical results show that using a trapezoid composite skins increase the natural frequency of the structures.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Abbreviations
- θ :
-
Angle of trapezoidally model
- \( \varphi \) :
-
Angle of layer layup \( (0/\varphi /{\text{C}}/0/\varphi ) \)
- \( h_{t} \) :
-
Plate thickness
- \( h_{s} \) :
-
Skin thickness
- \( h_{c} \) :
-
Core thickness
- E :
-
Elastic modulus
- \( E_{x} ,E_{y} ,E_{z} \) :
-
Orthotropic elastic modulus
- G :
-
Shear modulus
- \( G_{xy,} G_{xy,} G_{xz} \) :
-
Orthotropic shear modulus
- \( \vartheta \) :
-
Poisson’s rati
- \( \vartheta_{xy} ,\vartheta_{yz} ,\vartheta_{xz} \) :
-
Poisson’s ratio in the x-,y- and z- direction, respectively
- a, b :
-
Panel dimension in the x-(length) and y-directions (width), respectively
- \( \rho \) :
-
Material density
- F/2 :
-
Trapezoidally corrugation amplitude
- 2C :
-
Rotation period
- \( \sigma_{x} ,\sigma_{y} \) :
-
Stress in the x, y direction
- U :
-
Displacement in the x-direction
- V :
-
Displacement in the y-direction
- W :
-
Displacement in the z-direction
References
Timoshenko, S.: Theory of elastic stability. McGraw-Hill Book Co., New York (1936)
Timoshenko, S., Woinowski-Krieger, S.: Theory of plates and shells. McGraw-Hill Book Co., New York (1959)
Seydel, E.B.: Schubkinckversuche mit wellblechtafeln, Jahrbuch d. deutsch.Versuchsanstalltfürluftfahrt. e.V. München und Berlin, p 233–5 (1931)
Gough, G.S., Elam, C.F., DeBruyne, N.A.: The stabilization of a thin sheet by continuous supporting medium. J. Roy. Aero. Soc. 44, 12–43 (1940)
Frostig, Y., Baruch, M.: Buckling of simply-supported sandwich beams with transversely flexible core a high order theory. J. ASCE. EM. Div. 119(3), 476–495 (1993)
Frostig, Y., Baruch, M.: Free vibration of sandwich beams with a transversely flexible core: a high order approach. J. Sound Vib. 176(2), 195–208 (1994)
Frostig, Y., Baruch, M.: Localized load effects in high-order bending of sandwich panels with transversely flexible core. J. ASCE. EM. Div. 122(11), 1069–1076 (1996)
Liew, K.M., Teo, T.M: Three-dimensional vibration analysis of rectangular plates based on differential quadrature method. 220(4), 577–599 (1999)
Liew, K.M., Peng, L.X., Kitipornchai, S.: Vibration analysis of corrugated Reissner-Midline plates using a mesh-free Galerkin method. 51, 642–652 (2009)
Reany, J., Grenestedt, J.L.: Corrugated skin in a foam core sandwich panel. Compos. Struct. 89(3), 345–355 (2009)
KAW Autar, K.: Mechanics of composite materials. Edition by Tylor (2006)
Birman, V., Bert, CH.W., Wrinkling of composite-facing sandwich panels under biaxial loading. 6, 217 (2004)
Acknowledgments
The work that is described in this chapter was supported by the Islamic Azad University of Qazvin.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kheirikhah, M.M., Babaghasabha, V., Abkenari, A.N., Edalat, M.E. (2012). Natural Vibration Analysis of Soft Core Corrugated Sandwich Plates Using Three-Dimensional Finite Element Method. In: Öchsner, A., da Silva, L., Altenbach, H. (eds) Mechanics and Properties of Composed Materials and Structures. Advanced Structured Materials, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31497-1_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-31497-1_11
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31496-4
Online ISBN: 978-3-642-31497-1
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)