Nonlocal Finite Element Formulation for Vibration | Zendy

Çiğdem Demir | Zendy; Ömer Cívalek | Zendy

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Nonlocal Finite Element Formulation for Vibration

Author(s) -

Çiğdem Demir,

Ömer Cívalek

Publication year - 2016

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.252149

Subject(s) - finite element method , vibration , axial symmetry , timoshenko beam theory , stiffness matrix , mass matrix , elasticity (physics) , beam (structure) , stiffness , mathematical analysis , euler's formula , mathematics , bernoulli's principle , structural engineering , classical mechanics , physics , engineering , geometry , neutrino , nuclear physics , quantum mechanics , thermodynamics

Vibration formulation is presented for axially compressed nano beam embedded in elastic matrix. The effect of length scale is investigated using nonlocal elasticity theory. The governing equations are obtained by using the Hamilton’s principle. Finite element formulations have been achieved for nonlocal Euler–Bernoulli beam theory. Global stiffness and mass matrix are obtained.

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