This paper is pertinent to the analytical solutions for vibration analysis of initially stressed Nonlocal EulerBernoulli nanobeams. In order to take into account of small length scale effect, this vibration problem formulation is depending upon both nonlocal EulerBernoulli and also Eringen’s nonlocal elasticity theory. The boundary conditions and governing equation are obtained by use of Hamiltonian’s principle. These equations are solved analytically with different initial stresses (both compressive and tensile) and boundary conditions. The effect of small length scale and the initial stress on the fundamental frequency are investigated. The solutions obtained are compared with the ones depending upon both classical EulerBernoulli and Timoshenko beam theory to comprehend the responses of nanobeams under the effect of initial stress and small scale in terms of frequencies for both theories. The results supply a better declaration for vibration analysis of nanobeams which are short and stubby with initial stress.
This paper is pertinent to the analytical solutions for vibration analysis of initially stressed Nonlocal EulerBernoulli nanobeams. In order to take into account of small length scale effect, this vibration problem formulation is depending upon both nonlocal EulerBernoulli and also Eringen’s nonlocal elasticity theory. The boundary conditions and governing equation are obtained by use of Hamiltonian’s principle. These equations are solved analytically with different initial stresses (both compressive and tensile) and boundary conditions. The effect of small length scale and the initial stress on the fundamental frequency are investigated. The solutions obtained are compared with the ones depending upon both classical EulerBernoulli and Timoshenko beam theory to comprehend the responses of nanobeams under the effect of initial stress and small scale in terms of frequencies for both theories. The results supply a better declaration for vibration analysis of nanobeams which are short and stubby with initial stress.
Primary Language  en 

Subjects  Engineering 
Journal Section  Articles 
Authors 

Bibtex  @research article { apjes321997,
journal = {Akademik Platform Mühendislik ve Fen Bilimleri Dergisi},
issn = {},
eissn = {21474575},
address = {Akademik Platform},
year = {2018},
volume = {6},
pages = {127  141},
doi = {10.21541/apjes.321997},
title = {Vibration of Initially Stressed Nonlocal EulerBernoulli NanoBeams},
key = {cite},
author = {Dinçkal, Çiğdem}
} 
APA  Dinçkal, Ç . (2018). Vibration of Initially Stressed Nonlocal EulerBernoulli NanoBeams. Akademik Platform Mühendislik ve Fen Bilimleri Dergisi, 6 (1), 127141. DOI: 10.21541/apjes.321997 
MLA  Dinçkal, Ç . "Vibration of Initially Stressed Nonlocal EulerBernoulli NanoBeams". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 6 (2018): 127141 <http://dergipark.gov.tr/apjes/issue/36207/321997> 
Chicago  Dinçkal, Ç . "Vibration of Initially Stressed Nonlocal EulerBernoulli NanoBeams". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 6 (2018): 127141 
RIS  TY  JOUR T1  Vibration of Initially Stressed Nonlocal EulerBernoulli NanoBeams AU  Çiğdem Dinçkal Y1  2018 PY  2018 N1  doi: 10.21541/apjes.321997 DO  10.21541/apjes.321997 T2  Akademik Platform Mühendislik ve Fen Bilimleri Dergisi JF  Journal JO  JOR SP  127 EP  141 VL  6 IS  1 SN  21474575 M3  doi: 10.21541/apjes.321997 UR  https://doi.org/10.21541/apjes.321997 Y2  2018 ER  
EndNote  %0 Academic Platform Journal of Engineering and Science Vibration of Initially Stressed Nonlocal EulerBernoulli NanoBeams %A Çiğdem Dinçkal %T Vibration of Initially Stressed Nonlocal EulerBernoulli NanoBeams %D 2018 %J Akademik Platform Mühendislik ve Fen Bilimleri Dergisi %P 21474575 %V 6 %N 1 %R doi: 10.21541/apjes.321997 %U 10.21541/apjes.321997 
ISNAD  Dinçkal, Çiğdem . "Vibration of Initially Stressed Nonlocal EulerBernoulli NanoBeams". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 6 / 1 (January 2018): 127141. https://doi.org/10.21541/apjes.321997 