Vibration analysis of functionally graded beams resting on elastic foundation using first order shear deformation theory

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.

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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