Vibration analysis of functionally graded beams resting on elastic foundation using first order shear deformation theory
Publish place: Conference on New Findings in Aerospace and Related Sciences
Publish Year: 1394
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
MAARS01_180
تاریخ نمایه سازی: 16 اسفند 1394
Abstract:
In this paper, free vibration analysis of functionally graded(FG) beams resting on Winkler foundation are investigated using first order shear deformation theory and. Material properties of the beam change in the thickness direction according to power-law distributions. The governing equations and the related boundary conditions are derived using the principal of the minimum total potential energy. The Navier-type solution is used for simply-supported boundary conditions, and exact formulas are proposed for the fundamental frequencies. In order to establish the accuracy of the present formulation and results, t he n atural f requencies are obtained, a nd c ompared w ith t he p ublished r esults available in the literature. Good agreement is observed. Numerical results are presented to investigate the influences the different material distributions and foundation stiffness on the free vibration behavior of FG beams.
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Authors
D Sirati
Department of Mechanical Engineering, Islamic Azad University, Karaj Branch, Karaj, Iran
H Azari
Department of Mechanical Engineering, Islamic Azad University, Takestan Branch, Takestan,
M Shamohammadi
Department of Mechanical Engineering, Islamic Azad University, Karaj Branch, Karaj, Iran
A Damercheloo
Department of Mechanical Engineering, Islamic Azad University, Karaj Branch, Karaj, Iran
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