Rayleigh-Ritz analysis for localized buckling of a strut on a softening foundation by Hermite functions
type: Item
instance of: scholarly article
title: Rayleigh-Ritz analysis for localized buckling of a strut on a softening foundation by Hermite functions
zbMATH Open document ID: 1063.74038
author: S. Rajasekar
published in: International Journal of Solids and Structures
publication date: 2004-07-12T00:00:00Z
review text: This paper presents a Rayleigh-Ritz procedure for localized buckling of a strut on a nonlinear elastic foundation. The deflected shape of a strut is expanded as a series in orthogonal Hermite functions. The recursion formulae for orthogonal Hermite functions and their derivatives are derived. The errors of the numerical integration of Hermite functions in an infinite region have been investigated, and a reasonable integral limit has been suggested. The authors show that the proposed method is efficient and has a good convergence.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 2078495
zbMATH Keywords: recursion formulae
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: j.ijsolstr.2003.08.010
OpenAlex ID: W2037504119
DOI: 10.1016/J.IJSOLSTR.2003.08.010
description: scientific article; zbMATH DE number 2078495