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