Fundamental frequency of isotropic and orthotropic rectangular plates with linearly varying thickness by discrete singular convolution method

Civalek O.

APPLIED MATHEMATICAL MODELLING, cilt.33, sa.10, ss.3825-3835, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 10
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.apm.2008.12.019
  • Dergi Adı: APPLIED MATHEMATICAL MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3825-3835
  • Anahtar Kelimeler: Discrete singular convolution method, Orthotropic material, Tapered plate, Free vibration, RAYLEIGH-RITZ METHOD, TIMOSHENKO BEAM FUNCTIONS, FREE-VIBRATION ANALYSIS, DIFFERENTIAL QUADRATURE, NATURAL FREQUENCIES, BOUNDARY-CONDITIONS, VARIABLE THICKNESS, CONICAL SHELLS, DSC ANALYSIS, ALGORITHM
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The subject of this article is solving free vibration problems of isotropic and orthotropic rectangular plates with linearly varying thickness along one direction. For the numerical solution to evaluate the frequencies of plates, the method of discrete singular convolution (DSC) is adopted. Frequency parameters are obtained for different types of boundary conditions, taper and aspect ratios. The effect of the mode number is also analyzed. The results obtained by the present numerical method show an excellent agreement with available published results. (C) 2008 Elsevier Inc. All rights reserved.