Simply supported elastic beams under parametric excitation

DOI10.1007/s11071-007-9301-7zbMath1170.74339OpenAlexW2065830793WikidataQ107165312 ScholiaQ107165312MaRDI QIDQ841745

Hiroshi Yabuno, Yuusuke Uchiyama, In-Soo Son, Walter Lacarbonara

Publication date: 18 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11071-007-9301-7

zbMATH Keywords

method of multiple scalesparametric excitationCosserat theoryexperimental frequency-response curvenonlinear elastic rodnonlinear inertia

Mathematics Subject Classification ID

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

Related Items (3)

Analysis of linearly elastic inextensible frames undergoing large displacement and rotation ⋮ Analytical and numerical study of the influence of different support types in the nonlinear vibrations of beams ⋮ A review on buckling and postbuckling of thin elastic beams

Cites Work

• Nonlinear non-planar parametric responses of an inextensional beam
• Nonlinear vibration of beams and rectangular plates
• Refined models of elastic beams undergoing large in-plane motions: theory and experiment
• Modeling of planar nonshallow prestressed beams towards asymptotic solutions
• Stress invariance in planar Cosserat elasticity
• Non-linear forced vibrations of a beam carrying concentrated mass under gravity
• Mathematical Models for Elastic Structures
• Nonlinear problems of elasticity
• Nonlinear normal modes of a parametrically excited cantilever beam

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