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Natural frequencies of composite beams with a variable fiber volume fraction including rotary inertia and shear deformation
Authors:Y Bedjilili  A Tounsi  H M Berrabah  I Mechab  E A Adda Bedia  S Benaissa
Institution:(1) Faculté des Sciences de l’ingénieur, Département de Génie Mécanique, Université de Tlemcen, Tlemcen, Algérie;(2) Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, Sidi Bel Abbes, Algérie;(3) Laboratoire de Mathématiques, Université de Sidi Bel Abbes, Sidi Bel Abbes, Algérie
Abstract:The present study is concerned with the vibration analysis of symmetric composite beams with a variable fiber volume fraction through thickness.First-order shear deformation and rotary inertia have been included in the analysis.Tbe solution procedure is applicable to arbitrary boundary conditions.Continuous gradation of the fiber volume fraction is modeled in the form of an m-th power polynomial of the coordinate axis in the thickness direction of the beam.By varying the fiber volume fraction within the symmetric composite beam to create a functionally graded material(FGM),certain vibration characteristics are affected.Results are presented to demonstrate the effects of shear deformation,fiber volume fraction,and boundary conditions on the natural frequencies and mode shapes of composite beams.
Keywords:free vibration  functionally graded materials  first-order shear deformation theory
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