Eigenvalues of membranes having skew and rhombic geometry using discrete singular convolution algorithm

Civalek O.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.14, sa.11, ss.4003-4009, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 11
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.cnsns.2008.08.010
  • Dergi Adı: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4003-4009
  • Anahtar Kelimeler: Discrete singular convolution, Skew membrane, Rhombic membrane, Vibration, FREE-VIBRATION ANALYSIS, NONHOMOGENEOUS RECTANGULAR MEMBRANES, CONTINUOUSLY VARYING DENSITY, DYNAMIC INFLUENCE FUNCTION, FINITE-ELEMENT-METHOD, FOURIER P-ELEMENT, ANNULAR MEMBRANES, INTERNAL SUPPORTS, AXISYMMETRICAL VIBRATIONS, TRANSVERSE VIBRATIONS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Free vibration analysis of skew and rhombic membranes is presented. In the proposed approach, irregular physical domain is transformed into a rectangular domain by using geometric coordinate transformation. Four-node element is used for geometric mapping. For demonstration of the accuracy and convergence of the method, some numerical examples are provided. The results obtained by the DSC method are compared with those obtained by other numerical and analytical methods. (C) 2008 Elsevier B.V. All rights reserved.