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The comparison model method for determining the flexural rigidity of a beam
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D. Lesnic
Veröffentlicht/Copyright:
20. Dezember 2010
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.
Received: 2010-08-06
Published Online: 2010-12-20
Published in Print: 2010-December
© de Gruyter 2010
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Artikel in diesem Heft
- Mikhail M. Lavrentiev – Obituary
- On a criterion of solvability of the inverse problem of heat conduction
- Calibrating local volatility in inverse option pricing using the Levenberg–Marquardt method
- On the approximations of derivatives of integrated semigroups
- On the ill-posedness and convergence of the Shack–Hartmann based wavefront reconstruction
- The comparison model method for determining the flexural rigidity of a beam
Artikel in diesem Heft
- Mikhail M. Lavrentiev – Obituary
- On a criterion of solvability of the inverse problem of heat conduction
- Calibrating local volatility in inverse option pricing using the Levenberg–Marquardt method
- On the approximations of derivatives of integrated semigroups
- On the ill-posedness and convergence of the Shack–Hartmann based wavefront reconstruction
- The comparison model method for determining the flexural rigidity of a beam
