Free Vibration Analysis of Rectangular Membranes with Variable Density Using the Discrete Singular Convolution Approach

Membranes are widely used in various engineering applications such as the design stage of microphones, pumps, pressure regulators, and other acoustical applications. This paper investigates the numerical aspects for free vibration analysis of homogeneous and nonhomogeneous rectangular and square membranes. The method of discrete singular convolution is employed. The results are obtained for different density case and aspect ratios. Numerical results are presented and compared with that available in the literature. The results show that the regularized Shannon delta kernel based discrete singular convolution algorithm produces accurate frequency values.