Solvability of the clamped Euler-Bernoulli beam equation
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Publication:1739450
DOI10.1016/j.aml.2019.02.006zbMath1415.35176OpenAlexW2914627254MaRDI QIDQ1739450
Publication date: 26 April 2019
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.006
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial-boundary value problems for second-order hyperbolic equations (35L20) Weak solutions to PDEs (35D30)
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Cites Work
- Unnamed Item
- Identification of unknown temporal and spatial load distributions in a vibrating Euler-Bernoulli beam from Dirichlet boundary measured data
- Solving a singular beam equation by using a weak-form integral equation method
- Existence results for a model of nonlinear beam on elastic bearings
- Analysis of weak solution of Euler-Bernoulli beam with axial force
- \(L^2\)-error estimate for the strongly damped extensible beam equations
- Free vibration and wave propagation analysis of uniform and tapered rotating beams using spectrally formulated finite elements
