Mathematical models used in studying the chaotic vibration of buckled beams

DOI10.1016/0093-6413(94)90091-4zbMath0819.73048OpenAlexW2084840944MaRDI QIDQ1329854

Daniela Dinca Baran

Publication date: 24 August 1995

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(94)90091-4

zbMATH Keywords

iterationsTimoshenko modelRayleigh modelBernoulli-Euler modellinear acceleration method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (11)

Chaotic belt phenomena in nonlinear elastic beam ⋮ Chaotic motion of a nonlinear thermo-elastic elliptic plate ⋮ The double mode model of the chaotic motion for a large deflection plate ⋮ Solitary wave in a nonlinear elastic structural element of large deflection ⋮ Chaos in mechanical systems -- a review ⋮ BIFURCATION AND CHAOTIC MOTION OF AN ELASTIC PLATE OF LARGE DEFLECTION UNDER PARAMETRIC EXCITATION ⋮ The study on the chaotic motion of a nonlinear dynamic system ⋮ Subharmonic and ultra-subharmonic response of nonlinear elastic beams subjected to harmonic excitation ⋮ A study of chaotic motion in elastic cylindrical shells ⋮ Chaotic response of a large deflection beam and effect of the second order mode ⋮ On the chaotic and hyper-chaotic dynamics of nanobeams with low shear stiffness

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