Derivation of Nonlocal Finite Element Formulation for Nano Beams

Yıl 2018, Cilt: 10 Sayı: 2, 131 - 139, 15.08.2018

Ömer Civalek Hayri Metin Numanoglu Büşra Uzun

https://doi.org/10.24107/ijeas.450239

Cited By: 1

Öz

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. 

Anahtar Kelimeler

Size-depended vibration, cubic shape functions, Nonlocal elasticity, Euler-Bernoulli beam, new mass and stiffness matrix.

Kaynakça

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