Vibration and stability of an elastic column subject to a generalized load

DOI10.1007/BF00787144zbMath0885.73019MaRDI QIDQ1368291

M. Gołȩbiowska-Rozanow, L. Tomski, Jacek Przybylski, Janusz Szmidla

Publication date: 23 April 1998

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

zbMATH Keywords

critical loaddivergence instabilityRayleigh's quotientclamped endeigenfrequency curvesslope of eigencurve

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

Related Items (6)

Free vibrations and the stability of a geometrically nonlinear column loaded by a follower force directed towards the positive pole ⋮ Theoretical and Experimental Investigations of the Natural Vibrations of the Divergence and Divergence Pseudoflutter Type Systems ⋮ An influence of the Winkler elastic foundation of a geometrically nonlinear column loaded by force directed towards the positive pole on a type of system ⋮ THE STABILITY AND FREE VIBRATIONS OF A COLUMN SUBJECTED TO A CONSERVATIVE LOAD GENERATED BY A HEAD WITH A PARABOLIC CONTOUR ⋮ A novel boundary element approach to time-harmonic dynamics of incremental nonlinear elasticity: the role of pre-stress on structural vibrations and dynamic shear banding ⋮ AN ELASTICALLY SUPPORTED GEOMETRICALLY NONLINEAR SLENDER SYSTEM SUBJECTED TO A SPECIFIC LOAD IN RESPECT OF BIFURCATIONAL LOAD AND FREE VIBRATIONS

Cites Work

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• Optimal design of elastic columns subject to the general conservative behaviour of loading
• Stability of a freestanding column loaded through a roller bearing
• On conservative elastic systems of the first and second kind
• A Note On The Dynamic Behavior Of Discretized Non-conservative Systems

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