An investigation of free vibrations of a strain gradient Timoshenko beams with the method of initial values

Ceyda Nur, Reha Artan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Investigated herein is the free vibrations of beams based on the strain gradient Timoshenko beam theory with the method of initial values. For the vibration of strain-gradient Timoshenko beam (SGTB), the sixth-order ordinary differential equation and three boundary conditions at each end have been obtained by using the Hamilton principle. The effect of the characteristic length on the frequencies of free vibrations is shown. The frequencies of the SGTB are compared to the frequencies of the strain gradient Euler beam (SGEB), classical Timoshenko beam (CTB) and classical Euler beam (CEB). It has been observed that the high-frequency values of conventional and strain-gradient beams are very different. This result can be used to determine the value of the material characteristic length for a nanobeam for which lengthscale effects are believed to be dominant.

Original languageEnglish
Pages (from-to)835-852
Number of pages18
JournalMicrosystem Technologies
Volume26
Issue number3
DOIs
Publication statusPublished - 1 Mar 2020
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.

Funding

The work reported here is supported by the Alexander von Humboldt Foundation.

FundersFunder number
Alexander von Humboldt-Stiftung

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