Vibration analysis of rotating rods based on the nonlocal elasticity theory and coupled displacement field View Full Text


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Article Info

DATE

2019-03

AUTHORS

Alireza Babaei, Cai Xia Yang

ABSTRACT

Free longitudinal vibration analysis of a rotating rod based on the Eringen’s nonlocal elasticity is studied in this paper. Rod is supposed to rotate around a fixed axis with a constant angular velocity. To capture the effect of the rotational motion into analysis of the continuous system, a linear proportional relation is introduced between axial and angular velocities. For the first time the mentioned relation is presented based on the internal motions of the infinitesimal element. This novelty makes the rotational displacement as a dependent function of axial displacement playing a significant role through the analysis. Variational approach is adopted to derive the equations of motion for clamped–clamped and clamped-free boundary conditions. For verification of the results obtained from the Galerkin approach, comparison with technical literature is reported. Finally current results illustrate the dependency of the dynamic-vibration analysis of the presented system on the nonlocality and the rotational velocity parameter. This dependency shows the decrement of the frequency with increment in both the angular velocity and the nonlocal parameter. As a result, the mentioned parameters are key factors in the design and analysis of such systems. More... »

PAGES

1077-1085

References to SciGraph publications

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  • 2015-09. A theoretical analysis of the free axial vibration of non-local rods with fractional continuum mechanics in MECCANICA
  • 2017-10. Thermo-electro-mechanical size-dependent postbuckling response of axially loaded piezoelectric shear deformable nanoshells via nonlocal elasticity theory in MICROSYSTEM TECHNOLOGIES
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  • 1962-01. Elastic materials with couple-stresses in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2017-07. Study of static and dynamic stability of flexible rods in a geometrically nonlinear statement in MECHANICS OF SOLIDS
  • 2017-11. Imperfection sensitivity of the size-dependent nonlinear instability of axially loaded FGM nanopanels in thermal environments in ACTA MECHANICA
  • 2018-02. Thermo-electro-radial coupling nonlinear instability of piezoelectric shear deformable nanoshells via nonlocal elasticity theory in MICROSYSTEM TECHNOLOGIES
  • 2018-02. Development of efficient size-dependent plate models for axial buckling of single-layered graphene nanosheets using molecular dynamics simulation in MICROSYSTEM TECHNOLOGIES
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  • 2017-11. Axial postbuckling analysis of multilayer functionally graded composite nanoplates reinforced with GPLs based on nonlocal strain gradient theory in THE EUROPEAN PHYSICAL JOURNAL PLUS
  • 1962-01. Effects of couple-stresses in linear elasticity in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2017-10. Temperature-dependent free vibration analysis of functionally graded micro-beams based on the modified couple stress theory in MICROSYSTEM TECHNOLOGIES
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    DOI

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