Determination of the flexural rigidity of a beam from limited boundary measurements

DOI10.1007/BF02831922zbMath1099.34015OpenAlexW2060613798MaRDI QIDQ815972

Daniel Lesnic

Publication date: 20 February 2006

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02831922

zbMATH Keywords

inverse problemEuler-Bernoulli beam equationCoefficient identification

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55)

Related Items (4)

Determination of the leading coefficient in fourth-order Sturm–Liouville operator from boundary measurements ⋮ Linearized Bayesian inference for Young’s modulus parameter field in an elastic model of slender structures ⋮ Bayesian damage identification of simply supported beams from elastostatic data ⋮ The comparison model method for determining the flexural rigidity of a beam

Cites Work

• Identification of flexural rigidity in a dynamic plate model
• An inverse problem for a Sturm-Liouville operator
• An inverse polynomial method for the identification of the leading coefficient in the Sturm-Liouville operator from boundary measurements.
• Error analysis of a multisingular inverse coefficient problem for the Sturm-Liouville operator based on boundary measurement.
• Determination of leading coefficients in Sturm-Liouville operator from boundary measurements. I: A stripping algorithm
• Determination of leading coefficients in Sturm-Liouville operator from boundary measurements. II: Unicity and an engineering approach.
• The determination of the leading coefficient in the monotone potential Sturm-Liouville operator from boundary measurements
• The spectral theory of the vibrating periodic beam
• Sufficient conditions for the solution of the inverse problem for a vibrating beam
• Inverse Problem for the Vibrating Beam in the Free-Clamped Configuration
• Analysis of coefficient identification problems associated to the inverse Euler-Bernoulli beam theory
• Identifiability of stiffness and damping coefficients in euler-bernoulli beam equations with kelvin-voigt damping
• An inverse spectral problem for the Euler - Bernoulli equation for the vibrating beam
• Solution of an inverse coefficient problem for an ordinary differential equation
• The inverse sturm‐liouville problem
• On existence, uniqueness and convergence of approximate solution of boundary value problems related to the nonlinear operator \[ Au:=-(k((u')^2)u')'+g(u) \]

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