Stability of columns with a single crack subjected to follower and vertical loads

DOI10.1016/0020-7683(83)90027-6zbMath0523.73042OpenAlexW2017623408MaRDI QIDQ1056582

Nikolaos K. Anifantis, Andrew D. Dimarogonas

Publication date: 1983

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(83)90027-6

zbMATH Keywords

kinetic methodsystem stabilityeigencurvesBeck column, stability chartsflutter type of instabilityfollower type loadsgeneral flexibility matrixlocal flexibility beam of rectangular cross sectionseveral crack locations and sizessingle edge crackstability of cracked column to follower and vertical loadsvertical loads

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60) Fracture and damage (74R99) Brittle damage (74R05)

Related Items (14)

Exact solution of the multi-cracked Euler-Bernoulli column ⋮ Free vibrations of stepped nano-beams with cracks ⋮ Buckling analysis of pre-cracked beam-columns by Lyapunov's second method ⋮ A novel beam finite element with singularities for the dynamic analysis of discontinuous frames ⋮ Modified and simplified sectional flexibility of a cracked beam ⋮ Numerical studies on stability of slender supporting structures ⋮ Vibration of cracked beams ⋮ Carrying capacity of edge-cracked columns under concentric vertical loads ⋮ Classes of exact solutions for buckling of multi-step non-uniform columns with an arbitrary number of cracks subjected to concentrated and distributed axial loads ⋮ A transfer matrix method capable of determining the exact solutions of a twisted Bernoulli-Euler beam with multiple edge cracks ⋮ Tensile and compressive buckling of columns with shear deformation singularities ⋮ The Hu–Washizu variational principle for the identification of imperfections in beams ⋮ Vibratory Characteristics of Euler-Bernoulli Beams with an Arbitrary Number of Cracks Subjected to Axial Load ⋮ Shearing effects on the breathing mechanism of a cracked beam section in bi-axial flexure

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