Normal modes and boundary layers for a slender tensioned beam on a nonlinear foundation

DOI10.1023/A:1012986128976zbMath1016.74031OpenAlexW4255594889MaRDI QIDQ5960060

Francesco Pellicano, Alexander F. Vakakis

Publication date: 11 April 2002

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

Full work available at URL: https://doi.org/10.1023/a:1012986128976

zbMATH Keywords

boundary layersperturbation methodsdouble asymptotic expansionenergy-based methodmatched asymptotic expansionnonlinear normal modesslender tensioned beamsmall bending stiffnesssymmetric nonlinearity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (3)

Asymptotic construction of nonlinear normal modes for continuous systems ⋮ Nonlinear normal modes of a shallow arch with elastic constraints for two-to-one internal resonances ⋮ Competitive energy transfer between a two degree-of-freedom dynamic system and an absorber with essential nonlinearity

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