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Mechanics of Composite Materials
Erschienen in: Mechanics of Composite Materials 1/2017

06.03.2017

Closed-Form Solutions for Free Vibration Frequencies of Functionally Graded Euler-Bernoulli Beams

verfasst von: W. R. Chen, H. Chang

Erschienen in: Mechanics of Composite Materials | Ausgabe 1/2017

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Abstract

The bending vibration of a functionally graded Euler–Bernoulli beam is investigated by the transformed-section method. The material properties of the functionally graded beam (FGB) are assumed to vary across its thickness according to a simple power law. Closed-form solutions for free vibration frequencies of FGBs with classical boundary conditions are derived. Some analytical results are compared with numerical results found in the published literature to verify the accuracy of the model presented, and a good agreement between them is observed.
Vorheriger Artikel Homogenization Model of the Elastic Properties of Isotropic Composites with Interpenetrating Phases Using the Deformation Parameters of a Porous Material
Nächster Artikel Contact Problem on the Interaction of Two Lap Plates, Absolutely Rigid in Tension and Flexible in Bending, with a Thin Circular Sector

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Metadaten
Titel
Closed-Form Solutions for Free Vibration Frequencies of Functionally Graded Euler-Bernoulli Beams
verfasst von
W. R. Chen
H. Chang
Publikationsdatum
06.03.2017
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 1/2017
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-017-9642-3

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