Flapwise Bending Vibration Analysis of a Double Tapered Rotating Nonlocal Euler-Bernoulli Beam by the Differential Transform Method


Kurt I. , Kaya M. O.

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, cilt.60, ss.959-968, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 60 Konu: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1134/s0021894419050225
  • Dergi Adı: JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS
  • Sayfa Sayıları: ss.959-968

Özet

Transverse (out-of-plane) vibrations of a rotating nanobeam tapered both in width and thickness are studied on the basis on the Euler-Bernoulli beam theory. The nonuniform nanobeam is modeled with allowance for a small-scale effect contained in the nonlocal Eringen elasticity theory. The axial force due to rotating movement (centrifugal stiffening) of the beam is included into the model. The governing partial differential equation of the structure is solved by implementing the differential transform method (DTM). The variations of the taper ratio, rotational velocity, hub radius, and nonlocal small-scale parameter are taken into consideration. Comparisons of the present results with available data are performed.