A new approach to the foundation beams analysis via the cell method
type: Item
instance of: scholarly article
title: A new approach to the foundation beams analysis via the cell method
zbMATH Open document ID: 0685.73037
DOI: 10.1016/0093-6413(89)90060-8
published in: Mechanics Research Communications
publication date: 1989-01-01T00:00:00Z
review text: The cell method is used to analyze the static behaviour of structural foundations on a Winkler medium, and it is worth noting that all the particularities of the proposed discretization method are emphasized by this particular example. The structure is reduced to a set of n rigid bars, linked together by means of (n\(+1)\) elastic cells. The external loads are reduced to equivalent nodal forces, so that the structure can be treated as a pure holonomic Lagrangian scheme, and the corresponding set of Lagrangian coordinates can be arbitrarily assigned. A finite beam with two elastically flexible supports has to be examined, so that the Lagrangian coordinates could be the displacements of the \((n+1)\) elastic cells. However, we see that another, less natural, set of Lagrangian coordinates can give more satisfactory results. Finally, a numerical example is performed, in which a real foundation structure is examined in detail.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 4123385
zbMATH Keywords: static behaviour
zbMATH Keywords: structural foundations
zbMATH Keywords: Winkler medium
zbMATH Keywords: discretization method
zbMATH Keywords: set of n rigid bars
zbMATH Keywords: \((n+1)\) elastic cells
zbMATH Keywords: external loads
zbMATH Keywords: equivalent nodal forces
zbMATH Keywords: pure holonomic Lagrangian scheme
zbMATH Keywords: set of Lagrangian coordinates
zbMATH Keywords: finite beam
zbMATH Keywords: two elastically flexible supports
author: M. A. De Rosa
MaRDI profile type: Publication
full work available at URL: 0093-6413(89)90060-8
OpenAlex ID: W2155249273
description: scientific article; zbMATH DE number 4123385