Buckling of rotating compressed rods

DOI10.1007/BF01302941zbMath0585.73081OpenAlexW1994587554MaRDI QIDQ1070882

Teodor M. Atanacković

Publication date: 1986

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01302941

zbMATH Keywords

linearizationboundary value problemnonlinear eigenvalue problemstability criteriona priori bound on maximal deflectionaxially compressed rotating rodsmethod of integral inequalitiestwo parameter bifurcationtwo parameter lineartwo types of boundary conditions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

Related Items (4)

Stability of rotating compressed rod with imperfections ⋮ Bifurcation analysis of the rotating axially compressed nano‐rod with imperfections ⋮ Stability of an extensible rotating rod ⋮ Effect of shear on stability and nonlinear behavior of a rotating rod

Cites Work

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• On applications of control theory to integral inequalities
• A control problem with application to integral inequalities
• A nonlinear eigenvalue problem for rotating rods
• Integral inequalities for two functions
• Some complements of Hölder's inequality
• ESTIMATES OF MAXIMUM DEFLECTION FOR A ROTATING ROD
• ON THE BIFURCATION SOLUTIONS OF AN AXIALLY ROTATING ROD

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