On the large amplitude free vibrations of tapered beams: an analytical approach

DOI10.1016/J.MECHRESCOM.2009.08.003zbMath1272.74268OpenAlexW2014360121MaRDI QIDQ366336

Mohammad Hasan, M. Dambrine, H. S. Yoon

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641309001219

zbMATH Keywords

analytical solutionhomotopy analysis methodtapered beamhomotopy pade techniquenon-linear vibration

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 (4)

Nonlinear vibration of an elastic soft string: large amplitude and large curvature ⋮ Static analysis of composite beams on variable stiffness elastic foundations by the homotopy analysis method ⋮ Approximate solutions for nonlinear transverse vibrations of elastically restrained tapered beams ⋮ Homotopy analysis method for the Rayleigh equation governing the radial dynamics of a multielectron bubble

Cites Work

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• Duffing equations with cubic and quintic nonlinearities
• On the homotopy analysis method for nonlinear problems.
• On the homotopy analysis method for non linear vibration of beams

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