Surface stress and non-local elasticity effects on the free vibration behavior of nanobeams

การสั่นอิสระของคานนาโนซึ่งพิจารณาผลของหน่วยแรงที่ผิวสัมผัสและลักษณะยืดหยุ่นแบบไม่เฉพาะที่

Name: Chinnawut Juntarasaid

Organization : King Mongkut' s University of Technology Thonburi. Faculty of Engineering. Department of Civil Engineering

Name: Tawich Pulngern

Organization : King Mongkut' s University of Technology Thonburi. Faculty of Engineering. Department of Civil Engineering

Name: Somchai Chucheepsakul

Organization : King Mongkut' s University of Technology Thonburi. Faculty of Engineering. Department of Civil Engineering

Name: ชินวุฒิ จันทรเศรษฐ

Name: ทวิช พูลเงิน

Name: สมชาย ชูชีพสกุล

keyword: Nanobeams

; Elasticity

Abstract: This paper presents the effects of surface stress and non-local elasticity on the free vibration of nanobeams with various boundary conditions. Analytical solutions for natural frequencies and corresponding mode shapes of the nanobeams are derived and compared numerically by using the finite element method. Identical results between the two solution methods are obtained. The obtained results indicate that the surface stress is to increase the stiffness of the nanobeams. Therefore, the natural frequencies of the nanobeams for all boundary conditions increase in comparison with that of the classical Euler beam. Moreover, the surface stress affects significantly only for the lower modes of vibration. In the case of non-local elasticity effect, it reduces the natural frequencies of the nanobeams, especially for the higher modes of vibration. For the nanobeams subjecting to both effects, the results show that the natural frequencies are in between one of the nanobeams with surface stress and the one with non-local elasticity. This gives a practical implication that not only the surface stress but also non-local elasticity affects directly on the vibration behavior of the nanobeams. However, the surface stress affects only the lower modes of vibration and therefore the results of the nanobeams subjecting to both effects are converted to those of the nanobeams where only non-local elasticity is considered fo the mode number with higher than fourth mode

King Mongkut's University of Technology Thonburi. KMUTT Library

Address: BANGKOK

Email: info.lib@mail.kmutt.ac.th

Created: 2014

Issued: 2015-02-19

Modified: 2559-05-03

บทความ/Article

application/pdf

BibliograpyCitation : KMUTT Research and Development Journal vol. 37, no. 4 (Oct.-Dec. 2014), p. 481-502

CallNumber: 12005435

eng

©copyrights King Mongkut's University of Technology Thonburi

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