Vibration of axially functionally graded nano rods and beams with a variable nonlocal parameter

Küçük Resim Yok

Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Techno-Press

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Vibration of axially functionally graded nano-rods and beams is investigated. It is assumed that the material properties change along the rod and beam length. The Ritz method with algebraic polynomials is used in the formulation of the problems. Stress gradient elasticity theory is utilized in order to include the nonlocal effects. Frequencies are obtained for different boundary conditions, geometrical and material properties. Nonlocal parameter is assumed as changing linearly or quadratically along the length of the nanostructure. Frequencies are compared to constant nonlocal parameter cases and considerable differences are observed between constant and variable nonlocal parameter cases. Mode shapes in various cases are depicted in order to explain the effects of axial grading.

Açıklama

Anahtar Kelimeler

Vibration, Axially Functionally Graded, Nanorod, Nanobeam, Nonlocal Elasticity, Walled Carbon Nanotubes, Semi-Inverse Method, Variational-Principles, Continuum-Mechanics, Natural Frequencies, Wave-Propagation, Plates, Nanobeams, Model, Elasticity

Kaynak

Advances In Nano Research

WoS Q Değeri

Q3

Scopus Q Değeri

Q1

Cilt

6

Sayı

3

Künye