Vibration analysis of membranes with arbitrary sapes using discrete singular convolution

Civalek O.

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, cilt.31, sa.1, ss.25-36, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 1
  • Basım Tarihi: 2008
  • Dergi Adı: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.25-36
  • Anahtar Kelimeler: discrete singular convolution, membrane, irregular domain, vibration, GALERKIN MLPG METHOD, DIFFERENTIAL QUADRATURE METHOD, NONHOMOGENEOUS RECTANGULAR MEMBRANES, CONTINUOUSLY VARYING DENSITY, DYNAMIC INFLUENCE FUNCTION, BOUNDARY-VALUE-PROBLEMS, INTEGRAL-EQUATION LBIE, FINITE-ELEMENT-METHOD, FOURIER P-ELEMENT, HELMHOLTZ-EQUATION
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, free vibration analysis of curvilinear or straight-sided quadrilateral membranes is presented. In the proposed approach, irregular physical domain is transformed into a rectangular domain by using geometric coordinate transformation. For demonstration of the accuracy and convergence of the method, some numerical examples are provided on membranes with different geometry such as skew, trapezoidal, sectorial, annular sectorial, and membranes with four curved edges. The results obtained by the DSC method are compared with those obtained by other numerical and analytical methods.