Chaotic dynamics of an elastic beam resting on a Winkler-type soil.

DOI10.1016/S0960-0779(96)00030-6zbMath1080.74519MaRDI QIDQ815605

Stefano Lenci, Tarantino, Angelo Marcello

Publication date: 17 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

supercritical bifurcationsubcritical bifurcationMelnikov's method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Dynamical systems in solid mechanics (37N15) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Soil and rock mechanics (74L10)

Related Items (3)

Internal-external resonance of beams on non-linear viscoelastic foundation traversed by moving load ⋮ Vibration suppression of a dynamical system to multi-parametric excitations via time-delay absorber ⋮ On the chaotic and hyper-chaotic dynamics of nanobeams with low shear stiffness

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A justification of the von Kármán equations
• Small strain accompanied by moderate rotation
• Periodic vibrations of systems governed by nonlinear partial differential equations
• A General Solution for the Bending of Beams on an Elastic Foundation of Arbitrary Continuity
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