Vibration of Initially Stressed Nonlocal Euler-Bernoulli Nano-Beams

Çiğdem DİNÇKAL

doi:https://doi.org/10.21541/apjes.321997

Makale detayları

Vibration of Initially Stressed Nonlocal Euler-Bernoulli Nano-Beams

Yazarlar:

Çiğdem DİNÇKAL

Yayıncı:

Akademik Perspektif Derneği

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Academic Platform - Journal of Engineering and Science 2018 Vol.6 Issue 1, pp.127-141

Belge Tipi:

Makale

Yayın Tarihi:

1/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000875029

Sıklık:

Aylık

eISSN:

2822-2385

DOI:

https://doi.org/10.21541/apjes.321997

Anahtar kelimeler:

Özet:

 


This paper is pertinent to the
analytical solutions for vibration analysis of initially stressed Nonlocal Euler-Bernoulli nano-beams. In order to take into account of small length scale effect,
this vibration problem formulation is depending upon both nonlocal
Euler-Bernoulli 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 Euler-Bernoulli and
Timoshenko beam theory to comprehend the responses of nano-beams 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 nano-beams which are
short and stubby with initial stress.






 

.

 


This paper is pertinent to the
analytical solutions for vibration analysis of initially stressed Nonlocal Euler-Bernoulli nano-beams. In order to take into account of small length scale effect,
this vibration problem formulation is depending upon both nonlocal
Euler-Bernoulli 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 Euler-Bernoulli and
Timoshenko beam theory to comprehend the responses of nano-beams 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 nano-beams which are
short and stubby with initial stress.


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Makale detayları

Vibration of Initially Stressed Nonlocal Euler-Bernoulli Nano-Beams

Yazarlar:

Çiğdem DİNÇKAL

Yayıncı:

Akademik Perspektif Derneği

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Academic Platform - Journal of Engineering and Science 2018 Vol.6 Issue 1, pp.127-141

Belge Tipi:

Makale

Yayın Tarihi:

1/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000875029

Sıklık:

Aylık

eISSN:

2822-2385

DOI:

https://doi.org/10.21541/apjes.321997

Nonlocal Euler-Bernoulli beam theory

fundamental frequency

initially stressed nano-beams

small length scale effect

Sayı

Makale detayları

Vibration of Initially Stressed Nonlocal Euler-Bernoulli Nano-Beams

Yazarlar: Çiğdem DİNÇKAL

Yayıncı: Akademik Perspektif Derneği

Ana Başlıklar: Uygulamalı fizik

Dergi: Academic Platform - Journal of Engineering and Science 2018 Vol.6 Issue 1, pp.127-141

Belge Tipi: Makale

Yayın Tarihi: 1/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000875029

Sıklık: Aylık

eISSN: 2822-2385

DOI: https://doi.org/10.21541/apjes.321997

Nonlocal Euler-Bernoulli beam theory

fundamental frequency

initially stressed nano-beams

small length scale effect

Sayı

Yazarlar:

Çiğdem DİNÇKAL

Yayıncı:

Akademik Perspektif Derneği

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Academic Platform - Journal of Engineering and Science 2018 Vol.6 Issue 1, pp.127-141

Belge Tipi:

Makale

Yayın Tarihi:

1/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000875029

Sıklık:

Aylık

eISSN:

2822-2385

DOI:

https://doi.org/10.21541/apjes.321997