BEM analysis of free vibration problems using polynomial particular integrals
type: Item
instance of: scholarly article
title: BEM analysis of free vibration problems using polynomial particular integrals
zbMATH Open document ID: 0764.73093
DOI: 10.1016/0020-7683(92)90192-V
author: S. T. Raveendra
author: Prasanta K. Banerjee
published in: International Journal of Solids and Structures
publication date: 1993-04-01T00:00:00Z
review text: The formulation presented is based on treating the forcing function, in the governing differential equation, as an initially unknown distributed body force within the domain. The volume integral due to this body force is then eliminated by approximating the inertial force by global interpolation and polynomial function representations and finding particular solutions for the governing, inhomogeneous equations. The resulting non-symmetric system matrix is solved by using a modified Arnoldi's algorithm that takes advantage of the special structure of the substructured boundary element method. The techniques described here are embedded in a computer program GPBEST, and the numerical examples are solved by using this computer code.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 146701
zbMATH Keywords: forcing function
zbMATH Keywords: volume integral
zbMATH Keywords: global interpolation
zbMATH Keywords: polynomial function representations
zbMATH Keywords: modified Arnoldi's algorithm
zbMATH Keywords: program GPBEST
MaRDI profile type: Publication
full work available at URL: 0020-7683(92)90192-v
OpenAlex ID: W2077982612
description: scientific article; zbMATH DE number 146701