The stability of viscoelastic perfect columns: A dynamic approach

DOI10.1016/0020-7683(85)90014-9zbMath0571.73050OpenAlexW2091332790MaRDI QIDQ1061543

P. G. Glockner, Walerian Szyszkowski

Publication date: 1985

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(85)90014-9

zbMATH Keywords

stability analysiscritical timeLyapunov instabilitydynamic approachdynamic disturbanceapproximate closed-form expressionindependent of the magnitude of the disturbanceperfect columnsstatic disturbancethree-element model materialviscoelastic critical load

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (8)

A stability condition for an extensive class of viscoelastic motions ⋮ Numerical analysis of static and dynamic stabilities of viscoelastic columns ⋮ Dynamic stability analysis of Mindlin viscoelastic plates subjected to constant and harmonic in-plane compressions based on free vibration analysis of elastic plates ⋮ Free vibration analysis of viscoelastic plates with simultaneous calculation of natural frequency and viscous damping ⋮ Influence of large deflections on the dynamic stability of nonlinear viscoelastic plates ⋮ Stability and chaotic motion in columns of nonlinear viscoelastic material ⋮ The imperfect linearly viscoelastic column ⋮ Buckling and multiple equilibrium states of viscoelastic rectangular plates

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