Finite Element Model of Functionally Graded Nanobeam for Free Vibration Analysis

Year 2019, Volume: 11 Issue: 2, 387 - 400, 25.07.2019

Büşra Uzun , Mustafa Özgür Yaylı

https://doi.org/10.24107/ijeas.569798

Cited By: 4

Abstract

In the present study, free vibration of functionally graded (FG)
nanobeam is investigated. The variation of material properties is assumed in
the thickness direction according to the power law. FG nanobeam is modeled as
Euler-Bernoulli beam with different boundary conditions and investigated based
on Eringen’s nonlocal elasticity theory. Governing equations are derived via Hamilton
principle. Frequency values are found by using finite element method. FG
nanobeam is composed of silicon carbide (SiC) and stainless steel (SUS304). The
effects of dimensionless small-scale parameters (e₀a/L), power law
exponent (k) and boundary conditions on frequencies are examined for FG
nanobeam.

Keywords

Functionally graded nanobeam, nonlocal elasticity theory, free vibration, finite element method

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