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

摘要

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.