Finite Element Model of Functionally Graded Nanobeam for Free Vibration Analysis

Authors : Büşra UZUN, Mustafa Özgür YAYLI

Pages : 387-400

Doi:10.24107/ijeas.569798

View : 20 | Download : 15

Publication Date : 2019-07-25

Article Type : Research Paper

Abstract :In the present study, free vibration of functionally graded insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(SiC); and stainless steel insert ignore into journalissuearticles values(SUS304);. The effects of dimensionless small-scale parameters insert ignore into journalissuearticles values(e 0 a/L);, power law exponent insert ignore into journalissuearticles values(k); and boundary conditions on frequencies are examined for FG nanobeam.
Keywords : Functionally graded nanobeam, nonlocal elasticity theory, free vibration, finite element method