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Inertial elastic instability of rotating nano disks

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this work, the static inertial-elastic instability of rotating nano disks is investigated with the centrifugal force formulation considering the radial displacement. Thus, Brunelle’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.
Rocznik
Strony
853--858
Opis fizyczny
Bibliogr. 17 poz., rys.
Twórcy
autor
  • Gümüşsuyu PTT, PK 18, Istanbul, Turkey
Bibliografia
  • 1. Brunelle E.J., 1971, Stress redistribution and instability of rotating beams and disks, America Institute Aeronautics Astronautics Journal, 9, 758-759
  • 2. Chianese S., 2011, Safety factor against burst speed of turbomachinery rotating disks, M.Sc. Thesis, Department of Mechanical Engineering, University of Illinois, Chicago, U.S.A.
  • 3. Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics, 54, 4703-4708
  • 4. Ghavanloo E., Fazelzadeh S.A., Rafii-Tabar H., 2014, Nonlocal Continuum-based modeling of breathing mode of nanowires including surface stress and surface inertia effects, Physica B, 440, 43-47
  • 5. Guven U., 1992, On transverse vibrations of a rotating disk of uniform strength, Journal of Applied Mechanics, 59, 234-235
  • 6. Guven U., 2018, Static resonance in rotating nanobars, Journal of Theoretical and Applied Mechanics, 56, 887-891
  • 7. Kiani K., 2012a, Magneto-elasto-dynamic analysis of an elastically confined conducting nanowire due to an axial magnetic shock, Physics Letters A, 376, 1679-1685
  • 8. Kiani K., 2012b, Magneto-thermo-elastic fields caused by an unsteady longitudinal magnetic field in a conducting nanowire accounting for eddy-current loss, Materials Chemistry and Physics, 136, 589-598
  • 9. McLachlan N.W., 1961, Bessel Functions for Engineers, Oxford, England: Clarendon Press
  • 10. Povstenko Yu.Z., 1995, Circular dislocation loops in non-local elasticity, Journal of Physics D: Applied Physics, 28, 105-111
  • 11. Sandman B.E., 1974, Finite deformation of a rotating orthotropic cylinder with linear elasticity, Computers and Structures, 4, 581-591
  • 12. Tufekci E., Aya S.A., 2016. A nonlocal beam model for out-of-plane static analysis of circular nanobeams, Mechanics Research Communications, 76, 11-23
  • 13. Tutuncu N., 2000, Effect of anisotropy on inertio-elastic instability of rotating disks, International Journal of Solids and Structures, 37, 7609-7616
  • 14. Tutuncu N., Ozturk M., 2004, Stress redistribution and instability in orthotropic cylinders, Journal of Reinforced Plastics and Composites, 23, 941-950
  • 15. Watson G.N., 1966, A Treatise on the Theory of Bessel Functions, Cambridge, England: Cambridge University Press
  • 16. Yildirim S., Tutuncu N., 2018, On the inertio-elastic instability of variable-thickness functionally-graded disks, Mechanics Research Communications, 91, 1-6
  • 17. Yu Y.M., Lim C.W., 2013, Nonlinear constitutive model for axisymmetric bending of annular graphene-like nanoplate with gradient elasticity enhancement effects, Journal of Engineering Mechanics, 139, 1025-1035
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ffb41018-6e66-44c9-9c2e-d2d34e2fec59
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