Identification of an unknown shear force in a cantilever Euler-Bernoulli beam from measured boundary bending moment

DOI10.1515/jiip-2019-0020zbMath1430.74148OpenAlexW2967353959MaRDI QIDQ2293302

Hiromichi Itou, Onur Baysal, Alemdar Hasanov

Publication date: 7 February 2020

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2019-0020

zbMATH Keywords

ill-posednessEuler-Bernoulli beaminverse boundary value problemsolvability of the inverse problemFréchet gradientnumerical reconstructionNeumann-to-Neumann operatorshear force identification

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fréchet and Gateaux differentiability in optimization (49J50) Inverse problems in equilibrium solid mechanics (74G75) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical and other methods in solid mechanics (74S99)

Related Items (5)

Determination of unknown shear force in transverse dynamic force microscopy from measured final data ⋮ Exponential stability of damped Euler-Bernoulli beam controlled by boundary springs and dampers ⋮ Inverse problems of identifying the unknown transverse shear force in the Euler-Bernoulli beam with Kelvin-Voigt damping ⋮ Unique recovery of unknown spatial load in damped Euler–Bernoulli beam equation from final time measured output ⋮ Determination of a spatial load in a damped Kirchhoff–Love plate equation from final time measured data

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