An Analytical Solution For Free Vibrations Of A Cantilever Nanobeam With A Spring Mass System

Mustafa Özgür YAYLI

doi:https://doi.org/10.24107/ijeas.251255

Makale detayları

An Analytical Solution For Free Vibrations Of A Cantilever Nanobeam With A Spring Mass System

Yazarlar:

Mustafa Özgür YAYLI

Yayıncı:

Akdeniz University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

International Journal of Engineering and Applied Sciences 2015 Vol.7 Issue 4, pp.10-18

Belge Tipi:

Makale

Yayın Tarihi:

11/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000459464

Sıklık:

Üç Aylık

eISSN:

1309-0267

DOI:

https://doi.org/10.24107/ijeas.251255

Özet:

 

An analytical solution for the title problem is presented using the nonlocal elasticity theory based on Euler-Bernoulli beam theory. Fourier sine series is used to represent lateral displacement of the nanobeam. Stokes’ transformation is applied to derive the coefficient matrix of the corresponding systems of linear equations. This matrix also contains the relationship between spring and mass parameters. A convergence study is provided to show how the first three frequency parameter of the nanobeam would converge by an increase of series terms in the literature. The results are given in a series of figures and tables for various combinations of boundary conditions.

Makale detayları

An Analytical Solution For Free Vibrations Of A Cantilever Nanobeam With A Spring Mass System

Yazarlar: Mustafa Özgür YAYLI

Yayıncı: Akdeniz University

Ana Başlıklar: Uygulamalı fizik

Dergi: International Journal of Engineering and Applied Sciences 2015 Vol.7 Issue 4, pp.10-18

Belge Tipi: Makale

Yayın Tarihi: 11/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000459464

Sıklık: Üç Aylık

eISSN: 1309-0267

DOI: https://doi.org/10.24107/ijeas.251255

Sayı

Yazarlar:

Mustafa Özgür YAYLI

Yayıncı:

Akdeniz University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

International Journal of Engineering and Applied Sciences 2015 Vol.7 Issue 4, pp.10-18

Belge Tipi:

Makale

Yayın Tarihi:

11/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000459464

Sıklık:

Üç Aylık

eISSN:

1309-0267

DOI:

https://doi.org/10.24107/ijeas.251255