Abstract. R-limited functions are multivariate generalization of band-limited functions whose Fourier transforms are supported within a compact region R ⊂ Rn. In this work, we generalize sampling and interpolation theorems for band-limited functions to R-limited functions. More precisely, we investigated the following question: “For a function compactly supported within a region similar to R, d...

Buckling analysis of rectangular plates subjected to various in-plane compressive loads using Kirchhoff plate theory is presented. The method of discrete singular convolution has adopted. Linearly varying, uniform and non-uniform distributed load conditions are considered on two-opposite edges for buckling. The results are obtained for different types of boundary conditions and aspect ratios. C...

This article enhances the discrete singular convolution method for free vibration analysis of non-uniform thin beams with variability in their geometrical and material properties such as thickness, specific volume (inverse density) Young’s modulus. The solves differential equation motion a structure high accuracy using small number discretisation points. uses polynomial chaos expansion to expre...