Nonlinear dynamics of a beam on elastic foundation

DOI10.1023/A:1008297721253zbMath0892.73027OpenAlexW200082691MaRDI QIDQ1373273

F. Mastroddi, Francesco Pellicano

Publication date: 18 November 1997

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008297721253

zbMATH Keywords

free oscillationsGalerkin procedureforced oscillationscubic stiffnesssingular perturbation approachcontinuous differential operatormethod of normal forms

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (5)

Nonlinear analysis of deep beam resting on linear and nonlinear random soil ⋮ An Upper bound for validity limits of asymptotic analytical approaches based on normal form theory ⋮ Comparing the direct normal form and multiple scales methods through frequency detuning ⋮ Methods to reduce nonlinear mechanical systems for instability computation ⋮ Parametric resonances in the two-to-one resonant beams on elastic foundation

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