Closed Form Solutions for Buckling of Long Anisotropic Plates with Various Boundary Conditions under Axial Compression

JE Herencia, PM Weaver (Bristol University) & MI Friswell (Swansea University)

ASCE Journal of Engineering Mechanics, Vol. 136, No. 9, September 2010, pp. 1105-1114

Abstract

Closed form solutions for buckling of long plates with flexural/twist anisotropy with the short edges simply supported and with the longitudinal edges simply supported, clamped or elastically restrained in rotation under axial compression are presented. An energy method (Rayleigh-Ritz) is employed to obtain the critical buckling loads. The critical buckling loads are expressed in terms of minimum non-dimensional buckling coefficients and stiffness parameters. The new closed form solutions show an excellent agreement when compared to existing solutions and finite element analysis. Due to their simplicity and accuracy, the new closed form solutions can be confidently used as an alternative to computationally expensive structural analysis to assess buckling in the preliminary design phase of composite structures.

Paper Availability

This material has been published in the ASCE Journal of Engineering Mechanics, Vol. 136, No. 9, September 2010, pp. 1105-1114. Unfortunately the copyright agreement with ASCE does not allow for the PDF file of the paper to be available on this website.


Link to paper using doi: 10.1061/(ASCE)EM.1943-7889.0000158

Link to the Journal of Engineering Mechanics website