Analytical approximate solutions to large amplitude vibration of a spring-hinged beam

DOI10.1007/s11012-013-9782-zzbMath1293.74217OpenAlexW2110951243MaRDI QIDQ400301

J. Herrera, H. S. Yoon

Publication date: 21 August 2014

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-013-9782-z

zbMATH Keywords

frequencyanalytical approximationlarge amplitude vibrationspring-hinged beam

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 (2)

Nonlinear vibration of an elastic soft string: large amplitude and large curvature ⋮ Asymptotic analysis and accurate approximate solutions for strongly nonlinear conservative symmetric oscillators

Cites Work

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• Transverse free vibration of non-uniform rotating Timoshenko beams with elastically clamped boundary conditions
• An electrically actuated imperfect microbeam: dynamical integrity for interpreting and predicting the device response
• An analytical approximate technique for a class of strongly non-linear oscillators
• An analytical study on the nonlinear vibration of functionally graded beams
• Finite element formulation for the large amplitude free vibrations of beams and orthotropic circular plates
• Large amplitude vibrations of beams with elastically restrained ends

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