Elastic buckling analysis of thin-walled structural members with rectangular holes using generalized beam theory
- Resource Type
- Authors
- Junle Cai; Cristopher D. Moen
- Source
- Thin-Walled Structures. 107:274-286
- Subject
- Physics
Timoshenko beam theory
business.industry
Mechanical Engineering
020101 civil engineering
02 engineering and technology
Building and Construction
Structural engineering
Finite element method
0201 civil engineering
Condensed Matter::Soft Condensed Matter
Nonlinear system
020303 mechanical engineering & transports
Modal
Amplitude
0203 mechanical engineering
Buckling
Normal mode
Image warping
business
Civil and Structural Engineering
- Language
- ISSN
- 0263-8231
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.