Vibration Analysis of Membranes with Arbitrary Sapes Using Discrete Singular Convolution
" O mer Civalek

Source CMES: Computer Modeling in Engineering & Sciences, Vol. 31, No. 1, pp. 25-36, 2008
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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.
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