Vibration analysis by discrete singular convolution

This paper explores the utility of a discrete singular convolution algorith m for vibration analysis. A number of different realizations of singular co nvolution kernels are selected to illustrate the present algorithm. Vibrati on analysis of strings, rods, beams, diatomic molecules, membranes, wavegui des and thin plates are utilized to test numerical accuracy and speed of co nvergence of the present approach. Numerical experiments indicate that the discrete singular convolution is a simple and reliable algorithm for vibrat ion analysis. (C) 2001 Academic Press.