Inelastic stability analysis of CCSS rectangular plate

What is it about?

Thin rectangular plates tend to lose stability and buckle when subjected to compressive in-plane loads even when lateral loads are absent. We investigated the inelastic stability of a thin flat rectangular plate using Taylor's series formulated deflection functions by an energy method. The analysed plate is clamped and simply-supported in both the longitudinal and transverse characteristic directions.

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Why is it important?

Solutions to inelastic stability problems of thin rectangular plates using energy approaches are usually obtained by Fourier series or trigonometric series. It is difficult, and sometimes even impossible, to formulate the deflection function for several combination of boundary conditions except for all-round simply supported plates. Using Taylor's series in formulating the deflection function of plates require less effort for a wider range of boundary conditions. Solutions were obtained for inelastic stability of CCSS rectangular plate using Taylor's series deflection function. The results of our study were consistent for various values of aspect ratio and compared favourably with elastic stability values reported in literature.