Measurement the effects of temperature and fiber orientation on vibration of functionally graded beam

farzan barati; Mona Esfandiari; Sajjad  Babaei; Amirhosein Baraati; Zahra Hoseini Tabar; Aida Atarod

Authors

farzan barati Islamic Azad University of Hamedan https://orcid.org/0000-0002-2948-8578
Mona Esfandiari https://orcid.org/0000-0002-2665-7938
Sajjad Babaei https://orcid.org/0000-0003-0831-8542
Amirhosein Baraati https://orcid.org/0000-0001-5299-9870
Zahra Hoseini Tabar https://orcid.org/0000-0003-4104-8230
Aida Atarod https://orcid.org/0000-0001-6040-1058

Keywords:

Temperature First-order shear deformation theory, Differential quadrature method, Fiber orientation functionally graded beam Natural frequencies

Abstract

This paper concerned with analytical approach to study the thermal vibration of fiber orientation functionally graded (FOFG) beam, that fibers`oriented angles are variable and graded in the thickness direction of the beam. Uniform thermal distribution considered in the entire beam and properties of fiber orientation functionally graded (FOFG) beam considered as the temperature-dependent element. Symmetrical, asymmetrical, and classical distribution types for the mode of fiber angle presented in the thickness direction of the beam continuously. Equilibrium Equations derived from first- order shear deformation theory and Hamilton principle. Simply supported boundary condition is considered for both edges of the beam.Eneralized differential quadrature method usedto solve the system of coupled differential Equations. To study accuracy of the present analysis, a compression carried out with a known data. The results shows that different parameters such as thickness to radius ratio, effect of temperature variations, model of fibers angle variations and power-law index affected on the natural frequencies.

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