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Meccanica
Erschienen in: Meccanica 4/2015

01.04.2015

Free vibrations of stepped axially functionally graded Timoshenko beams

verfasst von: D. V. Bambill, C. A. Rossit, D. H. Felix

Erschienen in: Meccanica | Ausgabe 4/2015

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Abstract

The paper studies free transverse vibrations of axially functionally graded beams with stepped changes in geometry and in material properties. The differential quadrature method with domain decomposition technique is used. The governing equations of motion are based on Timoshenko beam theory and are derived using Hamilton’s principle. Material properties are assumed to vary along the beam in an abrupt or gradual way. General boundary conditions are considered by means of translatory and rotatory springs at both external ends of the beam. Results are presented for different combinations of boundary conditions, step locations and properties of axially functionally graded materials. The effect of dynamic stiffening of beams can be observed in various situations. There are no available previous results of axially functionally graded beams with stepped changes in material properties and in cross section. This study may be helpful for a variety of potential applications in characterizing the effect of stepped changes in material properties added to changes in geometry.
Vorheriger Artikel Assessment and correction of theories for multilayered plates with imperfect interfaces
Nächster Artikel Vibration characteristics of stepped beams made of FGM using differential transformation method

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Metadaten
Titel
Free vibrations of stepped axially functionally graded Timoshenko beams
verfasst von
D. V. Bambill
C. A. Rossit
D. H. Felix
Publikationsdatum
01.04.2015
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 4/2015
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-014-0053-4

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