The University of Southampton
University of Southampton Institutional Repository

Saint-Venant decay rates: a procedure for the prism of general cross-section

Stephen, N.G. and Wang, P.J. (1996) Saint-Venant decay rates: a procedure for the prism of general cross-section Computers & Structures, 58, (6), pp. 1059-1066. (doi:10.1016/0045-7949(95)00237-5).

Record type: Article


A procedure previously developed for the determination of decay rates for self-equilibrated loadings at one end of a pin-jointed framework consisting of repeated identical cells, wherein the decay factors are the eigenvalues of the single cell transfer matrix, is here further developed and applied to a prismatic continuum beam of general cross-section. A sectional length of beam is treated within ANSYS finite element code as a super element; nodes at both ends of the section are treated as master nodes and the stiffness matrix relating forces and displacements at these master nodes is constructed within ANSYS. Manipulation of this stiffness matrix within MATLAB gives the transfer matrix from which the eigenvalues and eigenvectors may be readily determined. Accuracy of the method is assessed by treating the plane strain strip, the plane strain sandwich strip, and the rod of circular cross-section, representing a selection of the examples for which exact analytical solutions are available, and is found to be very good in all cases.

PDF step_96.pdf - Accepted Manuscript
Download (1MB)

More information

Published date: 1996


Local EPrints ID: 21091
ISSN: 0045-7949
PURE UUID: a0293391-7464-45cb-8e2b-6a4daa485458

Catalogue record

Date deposited: 31 Oct 2006
Last modified: 17 Jul 2017 16:27

Export record



Author: N.G. Stephen
Author: P.J. Wang

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.