The existence of regions of divergence instability for nonconservative systems under follower forces

DOI10.1016/0020-7683(83)90067-7zbMath0514.73031OpenAlexW2051858161MaRDI QIDQ1051481

Anthony N. Kounadis

Publication date: 1983

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(83)90067-7

zbMATH Keywords

buckling mechanism changes from divergence to flutter and vice-versadouble critical pointeigenvalues of nonself- adjoint problems are positive and distinctelastically restrained columnflutter load higher than divergence loadfollower compressive force at its endnecessary and sufficient conditions for existence of regions of divergence instabilitysudden increase in critical load

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Bifurcation and buckling (74G60) Free motions in linear vibration theory (70J30)

Related Items (10)

Divergence of a rotating shaft with an intermediate support and conservative axial loads ⋮ Flutter of a cantilever rod with a relocatable lumped mass ⋮ Damping effects on the dynamic stability of a rod subjected to intermediate follower loads ⋮ The regions of flutter and divergence instability of a column subjected to Beck's generalized load, taking into account the torsional flexibility of the loaded end of the column ⋮ THE STABILITY AND FREE VIBRATIONS OF A COLUMN SUBJECTED TO A CONSERVATIVE LOAD GENERATED BY A HEAD WITH A PARABOLIC CONTOUR ⋮ On the reliability of classical divergence instability analyses of Ziegler's nonconservative model ⋮ On the large postbuckling response of nonconservative continuous systems ⋮ Stability of a column with a follower load and a load-dependent elastic support ⋮ Non-potential dissipative systems exhibiting periodic attractors in regions of divergence ⋮ Divergence and flutter of nonconservative systems with intermediate support

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