ARTICLE
Effect of the thickness to length ratio on the frequency ratio of nanobeams and nanoplates
 
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Eastern Mediterranean University, Department of Mechanical Engineering,Magosa, TRNC Mersin, Turkey
 
 
Acceptance date: 2019-07-11
 
 
Online publication date: 2020-01-15
 
 
Publication date: 2019-04-05
 
 
Journal of Theoretical and Applied Mechanics 2020;58(1):87-96
 
KEYWORDS
ABSTRACT
This communication presents the effect of thickness on the frequency ratio of nanobeams and nanoplates using Eringen’s nonlocal theory. Although there exist numerous works regarding the effects of thickness and small scale on the frequency ratio of nanobeams and nanoplates, none has captured and reported the true effects. The main intention of this communication is to correct the misunderstanding regarding this issue. It was found that the frequency ratio is indeed dependent on the thickness to length ratio and its variation with respect to thickness to length ratio is highly dependent on the mode number, combination of boundary conditions, plate aspect ratio, and the nonlocal parameter.
 
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