Open AccessA semi-analytical model on the critical buckling load of perforated plates with opposite free edges
Author(s) -
FU Wei-gang,
Bin Wang
Publication year - 2022
Publication title -
proceedings of the institution of mechanical engineers. part c, journal of mechanical engineering science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.411
H-Index - 59
eISSN - 2041-2983
pISSN - 0954-4062
DOI - 10.1177/09544062211056890
Subject(s) - buckling , boundary value problem , aspect ratio (aeronautics) , timoshenko beam theory , structural engineering , finite element method , materials science , beam (structure) , shear (geology) , critical load , series (stratigraphy) , plate theory , geometry , mathematical analysis , mathematics , composite material , engineering , geology , paleontology
Perforated plates are widely used in thin-walled engineering structures, for example, for lightweight designs of structures and access for installation. For the purpose of analysis, such perforated plates with two opposite free edges might be considered as a series of successive Timoshenko beams. A new semi-analytical model was developed in this study using the Timoshenko shear beam theory for the critical buckling load of perforated plates, with the characteristic equations derived. Results of the proposed modelling were compared with those obtained by FEM and show good agreement. The influence of the dividing number of the successive beams on the accuracy of the critical buckling load was studied with respect to various boundary conditions. And the effect of geometrical parameters, such as the aspect ratio, the thickness-to-width ratio and the cutout-to-width ratio were also investigated. The study shows that the proposed semi-analytical model can be used for buckling analysis of a perforated plate with opposite free edges with the capacity to consider the shear effect in thick plates.