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Buckling Equations of Orthotropic Thin Plates

Published online by Cambridge University Press:  09 August 2012

S.-R. Kuo  and
J. D. Yau
S.-R. Kuo
Affiliation:
Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung, Taiwan 20224, R.O.C.
J. D. Yau*
Affiliation:
Department of Architecture, Tamkang University, New Taipei City, Taiwan 25137, R.O.C College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, China
*
*Corresponding author ([email protected])
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Abstract

Conventionally, only three components of stress, i.e., the membrane stresses (1σxx, 1σyy, 1σxy) in x-y plane along span directions, are considered in deriving the buckling equations of thin plates using energy approaches. Of particular interest in this study is to take all the six components of stress into account in formulating the potential energy for an orthotropic plate. By invoking the conditions of stress equilibrium for the plate and Green's theorem to relate the potential energy to external virtual works, all the instability potential terms associated with the non-conventional stresses (1σxz, 1σyz, 1σzz) can either cancel those terms conventionally referred to as higher-order terms or combine with them to yield some new but meaningful terms. For this reason, the present approach contains more physical and compact meaning than conventional ones in the process of derivation. With the present governing differential equations, bending buckling problems of orthotropic rectangular plates will be investigated in this study.

Keywords

Buckling analysisEdge-loaded plateIncremental virtual work equationOrthotropic plate
Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 3 , September 2012 , pp. 555 - 567
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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