New Closed-Form Solutions for Buckling of a Variable Stiffness Column by Mathematica®

DOI10.1006/jsvi.1998.2143zbMath1235.74042OpenAlexW2042554517MaRDI QIDQ5388394

Olivier Rollot, Isaac Elishakoff

Publication date: 18 April 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsvi.1998.2143

zbMATH Keywords

\texttt{Mathematica}

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Explicit solutions of equilibrium problems in solid mechanics (74G05) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items (9)

Exact natural frequencies and buckling load of functionally graded material tapered beam-columns considering semi-rigid connections ⋮ Vibrations of Beams and Plates: Review of First Closed-Form Solutions in the Past 250 Years ⋮ Critical load for buckling of non-prismatic columns under self-weight and tip force ⋮ Buckling analyses of axially functionally graded nonuniform columns with elastic restraint using a localized differential quadrature method ⋮ Application of quantifier elimination to inverse buckling problems ⋮ SERIES SOLUTION OF LARGE DEFORMATION OF A BEAM WITH ARBITRARY VARIABLE CROSS SECTION UNDER AN AXIAL LOAD ⋮ A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients ⋮ Solution of Semi-Inverse Buckling Problems Yields a Flexural Rigidity as a Rational Function ⋮ Some unexpected results in vibration of non-homogeneous beams on elastic foundation

Uses Software

• Mathematica

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