Vibration analysis of membranes with arbitrary sapes using discrete singular convolution
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol.31, no.1, pp.25-36, 2008 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 31 Issue: 1
- Publication Date: 2008
- Journal Name: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.25-36
- Keywords: 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 University Affiliated: Yes
Abstract
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.