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Buckling analysis of stepped plates using modified buckling mode shapes

Authors
Journal
Thin-Walled Structures
0263-8231
Publisher
Elsevier
Publication Date
Volume
46
Issue
5
Identifiers
DOI: 10.1016/j.tws.2007.10.012
Keywords
  • Stepped Plates
  • Perforated Plates
  • Energy Method
  • Buckling Modes

Abstract

Abstract A new approximate procedure for buckling analysis of simply supported rectangular stepped or perforated plates subjected to uniform edge stresses is formulated. The procedure uses energy method based on modified buckling mode shapes. The change of thickness within a plate is characterized by introducing a stepping index. It is shown that the buckling (vibrational) mode shapes of stepped plates can be predicted by linear combination of various mode shapes of the equivalent flat plates. These buckling mode shapes, in turn, are incorporated to evaluate buckling loads of stepped plates. Some case studies are carried out to demonstrate the accuracy and the versatility of the proposed method by comparing them to the results presented by other researchers.

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