ARTICLE
Inertial elastic instability of rotating nano disks
 
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Gümüşsuyu PTT, PK 18, Istanbul
Online publish date: 2019-10-15
Publish date: 2019-10-15
Submission date: 2018-01-14
Acceptance date: 2019-04-26
 
Journal of Theoretical and Applied Mechanics 2019;57(4):853–858
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ABSTRACT
In this work, the static inertial-elastic instability of rotating nano disks is investigated with the centrifugal force formulation considering the radial displacement. Thus, Brunell’s previous local solution is generalized by using Eringen’s nonlocal elasticity theory. The variations of critical rotation speeds with the nonlocal scale parameter are illustrated under different boundary conditions. It is seen that the critical rotation speeds decrease as the nonlocal scale parameters increase for all cases. Also, it is remarkable that the presented results are affected significantly from the boundary conditions.
 
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