Eigenvalue analysis of curved sandwich panels loaded in uniaxial compression


  • Joao Pedro Martins
  • L. Simoes da Silva
  • Liliana Marques
  • Martin Pircher


curved panels, sandwich panels, composite structures


An energy formulation of a simply supported cylindrically curved sandwich panel loaded in compression is introduced and the corresponding potential energy function is evaluated. The mechanical model of a cylindrically curved sandwich panel comprises three interacting buckling modes, corresponding to nine degrees of freedom comprising qs, qx and qy components of local snake (m, n) and overall (k, l) modes, the related local hourglass (m, n) mode, Finally, closed-form solutions are presented for the global and local buckling modes.


SIMOES DA SILVA, L., Interactive Bending and Buckling in Sandwich Structures, PhD Thesis, Imperial College, 1989.

HUNT, G.W., SIMOES DA SILVA, L. and MANZOCCHI, G.M.E., Interactive Buckling in Sandwich Structures, Proceedings of the Royal Society of London, A 417, pp. 155–177, 1988.

SIMOES DA SILVA, L. and HUNT, G.W., Interactive Buckling in Sandwich Structures with Core Orthotropy, Mechanics of Structures and Machines, 18, 3, pp. 61–80, 1990.

ALLEN, H. G., Analysis and Design of Structural Sandwich Panels, Pergammon Press, 109, 6, 1460–1471, 1969.

BRUSH, D. O. and ALMROTH, B. O., Buckling of Bars, Plates and Shells, McGraw Hill, New York, 1975.

REDDY, J. N., Mechanics of Laminated composite plates and shells – Theory and analysis, CRC Press, Florida, 2004.

THOMPSON, J. M. T. and HUNT, G. W., A general theory of elastic stability, Wiley, 1973, London.

*** WOLFRAM MATHEMATICA 8 (version 8.0.0).