Free vibration of FG nanobeam using a finite-element method

Micro & nano letters

article

Busra Uzun¹  Mustafa Özgur Yaylı¹  Babur Deliktaş¹ 

[1] Faculty of Engineering, Department of Civil Engineering, Bursa Uludag University, 16059 Görükle Campus

关键词: elasticity;    functionally graded materials;    vibrations;    beams (structures);    finite element analysis;    wide band gap semiconductors;    nanostructured materials;    alumina;    stainless steel;    silicon compounds;    elastic constants;    ceramics;    elastic moduli;    FG nanobeam;    free vibration;    Eringen's nonlocal elasticity theory;    nonlocal finite-element formulation;    power-law variation;    Euler–Bernoulli beam theory;    power-law exponent effects;    nanostructural length scale parameter;    stiffness constant;    ceramic material;    elastic moduli;   

DOI  :  10.1049/mnl.2019.0273

学科分类：计算机科学（综合）

来源: Wiley

【 摘 要 】

In this work, a non-local finite-element formulation is developed to analyse free vibration of functionally graded (FG) nanobeams considering power-law variation of material through thickness of the nanobeam. The Euler–Bernoulli beam theory based on Eringen's non-local elasticity theory with one length scale parameter is used to model the FG nanobeam. To this end, two types of FG nanobeams composed of two different materials are analysed by using the developed non-local finite-element formulation. First FG nanobeam is made of alumina (Al 2 O 3 ) and steel, whereas second one is composed of silicon carbide (SiC) and stainless steel (SUS304). Numerical results are presented to show the effect of power-law exponent ( k ) and nanostructural length scale ( e 0 a/L ) on the free vibration of FG nanobeams.

【 授权许可】

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