On dynamic analysis of nanorods

In the present study, longitudinal free vibration behaviors of one-dimensional nanostructures with various boundary conditions are investigated based on Eringen's nonlocal theory. The governing differential equation of motion is analytically solved for a number of different boundary conditions...

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Published inInternational journal of engineering science Vol. 130; pp. 33 - 50
Main Authors Numanoğlu, Hayri Metin, Akgöz, Bekir, Civalek, Ömer
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.2018
Subjects
Different boundary conditions
Nanorod
Nonlocal elasticity
Size dependency
Vibration
Different boundary conditions
Vibration
Size dependency
Nanorod
Nonlocal elasticity
Online AccessGet full text
ISSN0020-7225
1879-2197
DOI10.1016/j.ijengsci.2018.05.001

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Abstract In the present study, longitudinal free vibration behaviors of one-dimensional nanostructures with various boundary conditions are investigated based on Eringen's nonlocal theory. The governing differential equation of motion is analytically solved for a number of different boundary conditions like clamped, free, attached mass and/or spring. It is noted that some of these solutions for the nonlocal frequencies of nanorods with attachments ones are the first in the literature. Effects of nonlocal parameter, attachments, boundary conditions, and length on the natural frequencies of nanorods are studied in detail. It can be emphasized that the inclusion of attachments decreases the longitudinal frequencies of nanorods, especially in higher modes.
AbstractList In the present study, longitudinal free vibration behaviors of one-dimensional nanostructures with various boundary conditions are investigated based on Eringen's nonlocal theory. The governing differential equation of motion is analytically solved for a number of different boundary conditions like clamped, free, attached mass and/or spring. It is noted that some of these solutions for the nonlocal frequencies of nanorods with attachments ones are the first in the literature. Effects of nonlocal parameter, attachments, boundary conditions, and length on the natural frequencies of nanorods are studied in detail. It can be emphasized that the inclusion of attachments decreases the longitudinal frequencies of nanorods, especially in higher modes.
Author Civalek, Ömer
Akgöz, Bekir
Numanoğlu, Hayri Metin
Author_xml – sequence: 1
  givenname: Hayri Metin
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  givenname: Bekir
  surname: Akgöz
  fullname: Akgöz, Bekir
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  givenname: Ömer
  orcidid: 0000-0003-1907-9479
  surname: Civalek
  fullname: Civalek, Ömer
  email: civalek@yahoo.com
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Vibration
Size dependency
Nanorod
Nonlocal elasticity
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Snippet In the present study, longitudinal free vibration behaviors of one-dimensional nanostructures with various boundary conditions are investigated based on...
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StartPage 33
SubjectTerms Different boundary conditions
Nanorod
Nonlocal elasticity
Size dependency
Vibration
Title On dynamic analysis of nanorods
URI https://dx.doi.org/10.1016/j.ijengsci.2018.05.001
Volume 130
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