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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Volume 18, Issue 5 (Dec 2010)


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.
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Published Online: 2010-12-20 | DOI: https://doi.org/10.1515/jiip.2010.026


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

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