Jump to ContentJump to Main Navigation
Show Summary Details
In This Section

Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


IMPACT FACTOR 2016: 0.783
5-year IMPACT FACTOR: 0.792

CiteScore 2016: 0.80

SCImago Journal Rank (SJR) 2015: 0.583
Source Normalized Impact per Paper (SNIP) 2015: 1.106

Mathematical Citation Quotient (MCQ) 2015: 0.43

Online
ISSN
1569-3945
See all formats and pricing
In This Section
Volume 18, Issue 5 (Dec 2010)

Issues

The comparison model method for determining the flexural rigidity of a beam

D. Lesnic
  • University of Leeds, Department of Applied Mathematics, Leeds LS2 9JT, UK.
  • Email:
Published Online: 2010-12-20 | DOI: https://doi.org/10.1515/jiip.2010.026

Abstract

Let the steady-state deflection u(x) of a beam of length l be governed by the Euler–Bernoulli fourth-order ordinary differential beam equation (a(x)u″(x))″ = ƒ(x) for x ∈ (0, l), subject to Dirichlet (clamped beams) boundary copnditions. We consider the identification of the spacewise dependent flexural rigidity a(x) of the beam, given the load ƒ(x) and the measured deflection u(x) by the comparison model method – a direct method which has been known and applied for sometime in diffusion processes of transport in porous media, but not in the elasticity beam theory, as developed in this study.

Keywords: Beam theory; flexural rigidity; parameter identification

About the article

Received: 2010-08-06

Published Online: 2010-12-20

Published in Print: 2010-12-01



Citation Information: Journal of Inverse and Ill-posed Problems, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip.2010.026. Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Chiara Vassena, Michele Rienzner, Giansilvio Ponzini, Mauro Giudici, Claudio Gandolfi, Cinzia Durante, and Davide Agostani
Hydrogeology Journal, 2012, Volume 20, Number 3, Page 449

Comments (0)

Please log in or register to comment.
Log in