VIBRATION ANALYSIS OF SIZE-DEPENDENT NANO BEAMS BASEDON NONLOCAL TIMOSHENKO BEAM THEORY

Authors

  • F Ebrahimi Imam Khomeini International University
  • G. R. Shaghaghi Imam Khomeini International University
  • E Salari Imam Khomeini International University

Abstract

In the present paper, the semi-analytical differential transformation method (DTM) is employed for vibration analysis of size-dependent nanobeams based on nonlocal Timoshenko beam theory (TBT).The governing motion equations of nanobeam with different edge conditions are derived by the Hamilton’s principle. DTM is applied to discretize the governing equations and boundary conditions,which are then solved to obtain the frequency parameters of nanobeam. In the numerical examples,the good agreements between the present results and existing literature verified the validity and accuracy of the present solution method. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of small scale parameters, mode number, aspect ratios and edge conditions on the normalized natural frequencies of the nanobeams. It is explicitly shown that the vibration of a nanobeam is significantly influenced by these effects.

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How to Cite

Ebrahimi, F., Shaghaghi, G. R., & Salari, E. (2015). VIBRATION ANALYSIS OF SIZE-DEPENDENT NANO BEAMS BASEDON NONLOCAL TIMOSHENKO BEAM THEORY. Journal of Mechanical Engineering and Technology (JMET), 6(2). Retrieved from https://jmet.utem.edu.my/jmet/article/view/340

Issue

Vol. 6 No. 2

Section

Others

License

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 All proprietary right other than copyright, such as patent rights.

  1. The right to make further copies of all or part of the published article for my/our use in classroom teaching.
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The authors agree that copies made under these circumstances will continue to carry the copyright notice that appeared in the original published work. The authors agree to inform any co-authors, if any, of the above terms. The authors certify that they have obtained written permission for the use of text, tables, and/or illustrations from any copyrighted source(s), and they agree to supply such written permission(s) to Journal of Mechanical Engineering and Technology upon request.

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