Discrete Singular Convolution Method for Free Vibration Analysis of Tapered Rectangular Plates

Civalek O., Oeztuerk B.

ADVANCES IN VIBRATION ENGINEERING, cilt.7, sa.3, ss.261-274, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 3
  • Basım Tarihi: 2008
  • Dergi Adı: ADVANCES IN VIBRATION ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.261-274
  • Anahtar Kelimeler: Discrete singular convolution method, Tapered, Rectangular plate, Free vibration, Frequency, LINEARLY VARYING THICKNESS, FOKKER-PLANCK EQUATION, RAYLEIGH-RITZ METHOD, DIFFERENTIAL QUADRATURE, INTERNAL SUPPORTS, 3-DIMENSIONAL VIBRATION, BOUNDARY-CONDITIONS, NUMERICAL-SOLUTION, CONICAL SHELLS, DSC ANALYSIS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Discrete Singular Convolution (DSC) method has been proposed to obtain frequencies of tapered rectangular plates. Regularized Shannon's Delta (RSD) kernel is selected as a singular convolution to illustrate the present algorithm. In the proposed approach, the derivatives in both the governing equations and the boundary conditions are discretized by the method of DSC. Frequency parameters are obtained for different types of boundary conditions, tapered shapes and aspect ratios. The effect of circumferential node number on the frequency of the shell is also analyzed. The obtained results are compared with those of other numerical methods. Numerical results indicate that the Discrete Singular Convolution (DSC) is a simple, accurate and reliable algorithm for free vibration analysis of tapered plates.