Elastic buckling analysis of thin-walled structural members with rectangular holes using generalized beam theory. (October 2016)

• Record Type: Journal Article
• Authors: Cai, Junle; Moen, Cristopher D.
• Is Part Of: Thin-walled structures. Volume 107(2016)
• Page Start: 274
• Page End: 286
• Publication Date: 2016-10
• Subjects: Thin-walled structures -- Elastic buckling -- Perforations -- Holes -- Generalized beam theory; Thin-walled structures -- Periodicals; 690.1
• DOI: 10.1016/j.tws.2016.06.014
• Languages: English
• ISSNs: 0263-8231

Abstract

Abstract: This paper presents a method to perform generalized beam theory buckling analysis on thin-walled structural members with holes. Generalized beam theory (GBT) is an ideal tool for analyzing thin-walled structures because it can directly compute buckling mode participation in an eigen-buckling analysis. The GBT extension to members with holes is made by treating a thin-walled structural member as an assembly of prismatic sub-members, and compatibility constraints on the GBT modal amplitudes are introduced to connect these sub-members. GBT shear modes with nonlinear warping deformation are included in both first order and buckling analyses to account for the nonlinear normal stress distribution in the vicinity of a hole. GBT buckling mode shapes are verified with shell finite element analysis (SFEA) in three examples that highlight the potential for quantitatively documenting buckling modes initiated by the presence of holes. Abstract : Highlights: The GBT formulation for thin-walled members with holes is presented. A member is viewed as an assembly of sub-members linked by compatibility constraints. Geometric stiffness for members with holes essential for elastic buckling is derived. GBT buckling solutions are verified with finite element analysis in three examples. The method can be used in identifying elastic buckling modes for members with holes.