Initial-boundary value problems for the beam vibration equation with allowance for its rotational motion under bending

DOI10.1134/S0012266121030071zbMath1461.74029OpenAlexW3152584059MaRDI QIDQ2019634

K. B. Sabitov

Publication date: 21 April 2021

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121030071

zbMATH Keywords

convergenceexistenceuniquenessseries solutiongeneralized solutionenergy inequality

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Plate oscillations with mixed boundary conditions ⋮ Inverse problem of determining the unknown coefficient in the beam vibration equation in an infinite domain

Cites Work

• A remark on the theory of initial-boundary value problems for the equation of rods and beams
• Cauchy problem for the beam vibration equation
• Колебания балки с заделанными концами
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