Buckling of Column with Base Attached to Elastic Half-Space
Publication: Journal of Engineering Mechanics
Volume 127, Issue 3
Abstract
Buckling of a heavy elastic column loaded by a concentrated force at the top is analyzed. It is assumed that the base of the column is fixed to a rigid circular plate that is positioned on a homogeneous, isotropic, linearly elastic half-space. The plate has adhesive contact with the half-space. The constitutive equations for the column are assumed in the form that allows axial compressibility and takes into account the influence of shear stresses. It is shown that eigenvalues of the linearized equations determine the bifurcation points of the full nonlinear system of equilibrium equations. The type of bifurcation at the lowest eigenvalue is examined and is shown that it could be super- or subcritical. The postcritical shape of the column is determined by numerical integration of the equilibrium equations.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 127 • Issue 3 • March 2001
Pages: 242 - 247
History
Received: Nov 8, 1999
Published online: Mar 1, 2001
Published in print: Mar 2001
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