First order solutions for the buckling loads of weakened Timoshenko columns

DOI10.1016/j.camwa.2012.05.009zbMath1268.74025OpenAlexW2019554131MaRDI QIDQ356173

J. A. Loya, J. Fernández-Sáez, G. Vadillo

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10016/15795

zbMATH Keywords

perturbation methodbuckling loadsTimoshenko cracked columns

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Brittle fracture (74R10) Bifurcation and buckling (74G60) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Locking-free finite element method for a bending moment formulation of Timoshenko beams ⋮ The exact distributional model for free vibrations of shear-bending multi-cracked Timoshenko beams ⋮ Tensile and compressive buckling of columns with shear deformation singularities ⋮ Finite element analysis of a bending moment formulation for the vibration problem of a non-homogeneous Timoshenko beam

Cites Work

• Unnamed Item
• 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
• Natural frequencies and modes of a Timoshenko beam
• Exact solution of the multi-cracked Euler-Bernoulli column
• Double eigenvalues for the uniform Timoshenko beam
• Closed-form solutions of Euler-Bernoulli beams with singularities
• Euler-Bernoulli beams with multiple singularities in the flexural stiffness
• A finite element for edge-cracked beam columns
• Identification of Crack Location in Vibrating Simply Supported Beams

This page was built for publication: First order solutions for the buckling loads of weakened Timoshenko columns