Mathematical modeling of vibration problem of nano-sized annular sector plates using the nonlocal continuum theory via eight-node discrete singular convolution transformation

GÜRSES M., AKGÖZ B., CİVALEK Ö.

APPLIED MATHEMATICS AND COMPUTATION, cilt.219, sa.6, ss.3226-3240, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 219 Sayı: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.amc.2012.09.062
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3226-3240
  • Anahtar Kelimeler: Discrete singular convolution method, Nonlocal elasticity, Geometric mapping, Free vibration, Sector plate, WALLED CARBON NANOTUBES, WAVE-PROPAGATION, RECTANGULAR-PLATES, INTERNAL SUPPORTS, DSC ANALYSIS, ELASTICITY, FORMULATION, SCALE
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In the present study, free vibration analysis of nano-sized annular sector plate is analyzed using the nonlocal continuum theory. The method of discrete singular convolution (DSC) is used for numerical computations. Firstly, equation of motion of thin plates is formulated via nonlocal elasticity. Then, irregular physical domain is transformed into a rectangular domain by using geometric coordinate transformation. The DSC procedures are then applied to discretization of the transformed set of governing equations and related boundary conditions. The effects of nonlocal parameter, mode numbers, sector angle and radius ratio on the vibration frequencies are investigated in detail. It is seen that the size effects are significant in vibration analysis of nano-scaled annular sector plates and need to be included in the mechanical model. (C) 2012 Elsevier Inc. All rights reserved.