Derivation of Nonlocal Finite Element Formulation for Nano Beams | Zendy

Ömer Cívalek | Zendy; Hayri Metin Numanoğlu | Zendy; Büşra Uzun | Zendy

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Derivation of Nonlocal Finite Element Formulation for Nano Beams

Author(s) -

Ömer Cívalek,

Hayri Metin Numanoğlu,

Büşra Uzun

Publication year - 2018

Publication title -

international journal of engineering and applied sciences

Language(s) - English

Resource type - Journals

eISSN - 1309-7997

pISSN - 1309-0267

DOI - 10.24107/ijeas.450239

Subject(s) - finite element method , stiffness matrix , mixed finite element method , elasticity (physics) , vibration , mathematical analysis , beam (structure) , matrix (chemical analysis) , mathematics , timoshenko beam theory , stiffness , extended finite element method , mass matrix , materials science , physics , structural engineering , composite material , engineering , quantum mechanics , neutrino , nuclear physics

In the present paper, a new nonlocal formulation for vibration derived for nano beam lying on elastic matrix. The formulation is based on the cubic shape polynomial functions via finite element method. The size effect on finite element matrix is investigated using nonlocal elasticity theory. Finite element formulations and matrix coefficients have been obtained for nano beams. Size-dependent stiffness and mass matrix are derived for Euler-Bernoulli beams.

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