Stability of simple modes of the Kirchhoff equation

DOI10.1088/0951-7715/14/5/314zbMath0989.35092OpenAlexW2087918492MaRDI QIDQ2757156

Massimo Gobbino, Marina Ghisi

Publication date: 28 July 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/14/5/314

zbMATH Keywords

Poincaré mapnon-local nonlinearity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Second-order nonlinear hyperbolic equations (35L70) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (9)

Unstable simple modes for a class of Kirchhoff equations ⋮ Instability of modes in a partially hinged rectangular plate ⋮ An orthotropic plate model for decks of suspension bridges ⋮ Energy transfer between modes in a nonlinear beam equation ⋮ Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation ⋮ A road map to the blow-up for a Kirchhoff equation with external force ⋮ Torsional instability in suspension bridges: the Tacoma Narrows Bridge case ⋮ Which Residual Mode Captures the Energy of the Dominating Mode in Second Order Hamiltonian Systems? ⋮ The role of boundary conditions in the torsional instability of suspension bridges

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