On the homotopy analysis method for non linear vibration of beams
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Publication:1939848
DOI10.1016/j.mechrescom.2008.08.001zbMath1258.74110OpenAlexW2016581077MaRDI QIDQ1939848
Publication date: 5 March 2013
Published in: Mechanics Research Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mechrescom.2008.08.001
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Contact in solid mechanics (74M15) Vibrations in dynamical problems in solid mechanics (74H45)
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Cites Work
- A new branch of solutions of boundary-layer flows over a permeable stretching plate
- Homotopy analysis of nonlinear progressive waves in deep water
- An analytic approach to solve multiple solutions of a strongly nonlinear problem
- A FINITE ELEMENT TIME DOMAIN MODAL FORMULATION FOR LARGE AMPLITUDE FREE VIBRATIONS OF BEAMS AND PLATES
- Large deflections and large-amplitude free vibrations of straight and curved beams
- On nonlinear free vibrations of simply supported uniform beams
- Analytic solutions of the temperature distribution in Blasius viscous flow problems
- Nonlinear vibrations of beams with various boundary conditions.