Free vibration characteristics of triple-walled viscoelastic nanotubes using the stress-driven model.

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Title: Free vibration characteristics of triple-walled viscoelastic nanotubes using the stress-driven model.
Authors: Kadioglu, Hayrullah Gun1 (AUTHOR) hayrullahgunkadioglu@arel.edu.tr, Yayli, Mustafa Ozgur2 (AUTHOR)
Source: Acta Mechanica. Jun2026, Vol. 237 Issue 6, p3033-3048. 16p.
Subjects: Free vibration, Viscoelasticity, Mechanical models, Analytical solutions, Eigenfrequencies, Multiwalled carbon nanotubes
Abstract: In this study, a comprehensive analytical model has been developed to investigate the free vibration behavior of triple-walled viscoelastic nanotubes. The model has been constructed by adapting the equations of motion derived based on the stress-driven approach to the triple-walled beam form and incorporating viscoelastic effects using the Kelvin–Voigt model. A Navier-type solution method has been used to solve the problem, and the results obtained from the analyses have been presented in tables and graphs for detailed evaluation. Thus, it has been observed that the system approaches the single-walled beam behavior with the increase in bond forces, that the increase in the scale parameter raises the natural frequencies, and that viscoelastic damping significantly shapes the dynamic response. Furthermore, the interactions between these parameters have been discussed. In conclusion, this study provides an important contribution to understanding the dynamic behavior of multi-walled nanotubes. [ABSTRACT FROM AUTHOR]
Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 194518023
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  Data: Free vibration characteristics of triple-walled viscoelastic nanotubes using the stress-driven model.
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  Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Jun2026, Vol. 237 Issue 6, p3033-3048. 16p.
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  Data: <searchLink fieldCode="DE" term="%22Free+vibration%22">Free vibration</searchLink><br /><searchLink fieldCode="DE" term="%22Viscoelasticity%22">Viscoelasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+models%22">Mechanical models</searchLink><br /><searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenfrequencies%22">Eigenfrequencies</searchLink><br /><searchLink fieldCode="DE" term="%22Multiwalled+carbon+nanotubes%22">Multiwalled carbon nanotubes</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this study, a comprehensive analytical model has been developed to investigate the free vibration behavior of triple-walled viscoelastic nanotubes. The model has been constructed by adapting the equations of motion derived based on the stress-driven approach to the triple-walled beam form and incorporating viscoelastic effects using the Kelvin–Voigt model. A Navier-type solution method has been used to solve the problem, and the results obtained from the analyses have been presented in tables and graphs for detailed evaluation. Thus, it has been observed that the system approaches the single-walled beam behavior with the increase in bond forces, that the increase in the scale parameter raises the natural frequencies, and that viscoelastic damping significantly shapes the dynamic response. Furthermore, the interactions between these parameters have been discussed. In conclusion, this study provides an important contribution to understanding the dynamic behavior of multi-walled nanotubes. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1007/s00707-026-04651-3
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      – Code: eng
        Text: English
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        PageCount: 16
        StartPage: 3033
    Subjects:
      – SubjectFull: Free vibration
        Type: general
      – SubjectFull: Viscoelasticity
        Type: general
      – SubjectFull: Mechanical models
        Type: general
      – SubjectFull: Analytical solutions
        Type: general
      – SubjectFull: Eigenfrequencies
        Type: general
      – SubjectFull: Multiwalled carbon nanotubes
        Type: general
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      – TitleFull: Free vibration characteristics of triple-walled viscoelastic nanotubes using the stress-driven model.
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              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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