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

In this study, the homotopy analysis method is used to obtain an accurate analytical solution for fundamental non-linear natural frequency and corresponding displacement of tapered beams. Comparison between the obtained results and numerical solutions shows that the first-order approximation of pres...

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Bibliographic Details
Published inMechanics research communications Vol. 36; no. 8; pp. 892 - 897
Main Authors Hoseini, S.H., Pirbodaghi, T., Ahmadian, M.T., Farrahi, G.H.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2009
Subjects
Analytical solution
Homotopy analysis method
Homotopy pade technique
Non-linear vibration
Tapered beam
Homotopy pade technique
Non-linear vibration
Tapered beam
Analytical solution
Homotopy analysis method
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Summary:In this study, the homotopy analysis method is used to obtain an accurate analytical solution for fundamental non-linear natural frequency and corresponding displacement of tapered beams. Comparison between the obtained results and numerical solutions shows that the first-order approximation of present study leads to accurate solutions with a maximum relative error less than 0.5%.
ISSN:0093-6413
1873-3972
DOI:10.1016/j.mechrescom.2009.08.003