Effects of residual surface stress and surface elasticity on the nonlinear free vibration of nanoscale plates

K Wang, Baolin Wang

Research output: Contribution to journalArticleResearchpeer-review

Abstract

This paper studies the influence of surface effects (including the residual surface stress and surface elasticity) on the nonlinear free vibrations of nanoscale plates. The motion equations are derived by using the Hamilton’s principle and solved numerically. It is found that the influence of surface effects on the normalized period of nanoscale plates becomes increasingly significant when the thickness of the plate decreases. More importantly, the influence of the surface effects on the normalized vibration period reduces if the initial amplitude of the vibration increases. This tendency is more pronounced for the Mindlin plate theory, which includes the transverse shear effect of the plates. In addition, it is found that both the positive residual surface stress and surface elasticity increase the magnitude of the vibration velocity.
Original languageEnglish
Article number013520
Pages (from-to)-
JournalJournal of Applied Physics
Volume112
Issue number1
DOIs
Publication statusPublished - 2012
Externally publishedYes

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free vibration
elastic properties
vibration
Mindlin plates
equations of motion
tendencies
shear

Cite this

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abstract = "This paper studies the influence of surface effects (including the residual surface stress and surface elasticity) on the nonlinear free vibrations of nanoscale plates. The motion equations are derived by using the Hamilton’s principle and solved numerically. It is found that the influence of surface effects on the normalized period of nanoscale plates becomes increasingly significant when the thickness of the plate decreases. More importantly, the influence of the surface effects on the normalized vibration period reduces if the initial amplitude of the vibration increases. This tendency is more pronounced for the Mindlin plate theory, which includes the transverse shear effect of the plates. In addition, it is found that both the positive residual surface stress and surface elasticity increase the magnitude of the vibration velocity.",
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Effects of residual surface stress and surface elasticity on the nonlinear free vibration of nanoscale plates. / Wang, K; Wang, Baolin.

In: Journal of Applied Physics, Vol. 112, No. 1, 013520, 2012, p. -.

Research output: Contribution to journalArticleResearchpeer-review

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AB - This paper studies the influence of surface effects (including the residual surface stress and surface elasticity) on the nonlinear free vibrations of nanoscale plates. The motion equations are derived by using the Hamilton’s principle and solved numerically. It is found that the influence of surface effects on the normalized period of nanoscale plates becomes increasingly significant when the thickness of the plate decreases. More importantly, the influence of the surface effects on the normalized vibration period reduces if the initial amplitude of the vibration increases. This tendency is more pronounced for the Mindlin plate theory, which includes the transverse shear effect of the plates. In addition, it is found that both the positive residual surface stress and surface elasticity increase the magnitude of the vibration velocity.

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