Static and dynamic interactive buckling of isotropic thin-walled closed columns with variable thickness

• Published in: Thin-walled structures Vol. 45; no. 10; pp. 936 - 940
• Main Author: Teter, A.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Oxford Elsevier Ltd 01.10.2007; New York, NY Elsevier Science
• Subjects: Buckling; Dynamic buckling; Exact sciences and technology; Fundamental areas of phenomenology (including applications); In-plane pulse loading; Interactive buckling; Physics; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Thin-walled structures; Thin-walled structures; Dynamic buckling; In-plane pulse loading; Interactive buckling; Localized mode; Modeling; Uniaxial compression; Transition matrix; Box beam; Orthogonalization; Pulse response; Static analysis; Defect; Axial load; Thin wall; Equation of motion; Simple support; Runge Kutta method; Wedge; Wavelength; Hooke law; Plate; Variable section; Dynamic stability; Hamiltonian mechanics; Asymptotic approximation; Thin walled beam; Non linear effect
• ISSN: 0263-8231; 1879-3223
• DOI: 10.1016/j.tws.2007.08.021

The present paper deals with static and dynamic analysis of interactive buckling of thin-walled closed columns with variable thickness subjected to in-plane constant and/or pulse loading. This investigation is concerned with thin-walled structures with corners bevelled at the angle of 45° under axial compression. The plate model is adopted for the structures. The material, all plates are made of, is subject to Hooke's law. The structures are assumed to be simply supported at the ends. The differential equations of motion have been obtained from Hamilton's principle. In this paper the static solution has been obtained by Koiter's asymptotic method in the second-order approximation. The study is based on the numerical method of the transition matrix using Godunov's orthogonalization. The interaction of an overall mode with two local modes having the same wavelength has been considered (i.e. three-mode approach). The nonlinear equations of dynamic stability are solved with the Runge–Kutta method. The calculations are carried out for settled imperfections.