A priori estimates for the general dynamic Euler-Bernoulli beam equation: supported and cantilever beams
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Publication:1726506
DOI10.1016/j.aml.2018.07.038zbMath1460.74051OpenAlexW2885316923MaRDI QIDQ1726506
Hiromichi Itou, Alemdar Hasanov
Publication date: 20 February 2019
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2018.07.038
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (8)
Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod ⋮ Determination of unknown shear force in transverse dynamic force microscopy from measured final data ⋮ Identification of a temporal load in a cantilever beam from measured boundary bending moment ⋮ Identification of an unknown shear force in a cantilever Euler-Bernoulli beam from measured boundary bending moment ⋮ Identification of an unknown shear force in the Euler–Bernoulli cantilever beam from measured boundary deflection ⋮ Unique recovery of unknown spatial load in damped Euler–Bernoulli beam equation from final time measured output ⋮ Identification of an unknown flexural rigidity of a cantilever Euler-Bernoulli beam from measured boundary deflection ⋮ Simultaneous determination of mass density and flexural rigidity of the damped Euler-Bernoulli beam from two boundary measured outputs
Cites Work
- Identification of unknown temporal and spatial load distributions in a vibrating Euler-Bernoulli beam from Dirichlet boundary measured data
- Analysis of weak solution of Euler-Bernoulli beam with axial force
- Identification of unknown spatial load distributions in a vibrating Euler–Bernoulli beam from limited measured data
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