Obtaining the modal participation of displacements, stresses, and strain energy in shell finite-element eigen-buckling solutions of thin-walled structural members via Generalized Beam Theory. (January 2019)

• Record Type: Journal Article
• Authors: Cai, Junle
• Is Part Of: Thin-walled structures. Volume 134(2019)
• Page Start: 148
• Page End: 158
• Publication Date: 2019-01
• Subjects: Thin-walled structures -- Shell finite-element -- Eigen-buckling -- Modal decomposition -- Strain energy; Thin-walled structures -- Periodicals; 690.1
• DOI: 10.1016/j.tws.2018.06.026
• Languages: English
• ISSNs: 0263-8231

Abstract

Abstract: This paper presents a method to calculate modal displacement, stress, and strain energy participation in shell finite-element eigen-buckling solutions of thin-walled structural members using Generalized Beam Theory (GBT). The method provides quantitative information that can be used to interpret coupled buckling in structural designs. A finite-element (FE) eigen buckling solution is transformed to a GBT solution, and equivalent GBT modal amplitudes representing the FE solution are retrieved. The modal displacement field, stress tensor and strain energy are retrieved using GBT modal amplitude field and applying GBT constitutive relationships between strain and stress. Theory and examples are provided. Highlights: Presents a method obtaining buckling mode participation of displacements, stresses, strain energy of thin-walled members. Deepens our understanding of coupled buckling. Facilitates strength prediction of cold-formed members per AISI S100 or other codes who employ Direct Strength Method. The method transfers a shell finite-element Eigen buckling solution into a Generalized Beam Theory solution.