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Nonlinear vibrations of non-uniform beams by the MTS asymptotic expansion method

Clementi, F. ; Demeio, L. ; Mazzilli, C. E. N. ; Lenci, S.

Continuum mechanics and thermodynamics, 2015-09, Vol.27 (4-5), p.703-717 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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Título:
Nonlinear vibrations of non-uniform beams by the MTS asymptotic expansion method
Autor: Clementi, F. ; Demeio, L. ; Mazzilli, C. E. N. ; Lenci, S.
Assuntos: Asymptotic expansions ; Asymptotic methods ; Beams (radiation) ; Classical and Continuum Physics ; Comparative analysis ; Continuum mechanics ; Engineering Thermodynamics ; Frequencies ; Frequency response ; Heat and Mass Transfer ; Mathematical analysis ; Nonlinear systems ; Nonlinearity ; Original Article ; Oscillations ; Physics ; Physics and Astronomy ; Structural Materials ; Theoretical and Applied Mechanics ; Vibration
É parte de: Continuum mechanics and thermodynamics, 2015-09, Vol.27 (4-5), p.703-717
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: The frequency response curves of a non-uniform beam undergoing nonlinear oscillations are determined analytically by the multiple time scale method, which provides approximate, but accurate results. The axial inertia in neglected, and so the equations of motion are statically condensed on the transversal displacement only. The nonlinearity due to the stretching of the axis of the beam is considered. The effects of variable cross-section, of variable material properties and of the distributed axial loading are taken into account in the formulation. They have been illustrated by means of two examples and are also compared with existing results. The main result of this work is that the effects of any type of non-uniformity can be detected by simple formulas.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglês

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Nonlinear vibrations of non-uniform beams by the MTS asymptotic expansion method

Clementi, F. ; Demeio, L. ; Mazzilli, C. E. N. ; Lenci, S.

Berlin/Heidelberg: Springer Berlin Heidelberg

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