- International Journal of Engineering and Applied Sciences
- Vol: 10 Issue: 2
- Derivation of Nonlocal Finite Element Formulation for Nano Beams
Derivation of Nonlocal Finite Element Formulation for Nano Beams
Authors : Ömer Civalek, Hayri Metin Numanoglu, Büşra Uzun
Pages : 131-139
Doi:10.24107/ijeas.450239
View : 11 | Download : 5
Publication Date : 2018-08-15
Article Type : Research
Abstract :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.Keywords : Size-depended vibration, cubic shape functions, Nonlocal elasticity, Euler-Bernoulli beam, new mass and stiffness matrix.