TY - EJOU AU - Civalek, Ă–mer TI - Vibration Analysis of Membranes with Arbitrary Sapes Using Discrete Singular Convolution T2 - Computer Modeling in Engineering \& Sciences PY - 2008 VL - 31 IS - 1 SN - 1526-1506 AB - 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. KW - Discrete singular convolution KW - membrane KW - irregular domain KW - vibration DO - 10.3970/cmes.2008.031.025