On equations describing the transverse vibrations of elastic bars

DOI10.1016/0021-8928(76)90117-9zbMath0352.73051OpenAlexW1502068698MaRDI QIDQ1236022

S. S. Kvashnina, Victor L. Berdichevsky

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8928(76)90117-9

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thin bodies, structures (74K99) Linear vibration theory (70J99)

Related Items (11)

Vibrations of asymptotically and variationally based Uflyand-Mindlin plate models ⋮ On the lower-order theories of continua with application to incremental motions, stability and vibrations of rods ⋮ Green's tensor for an elastic cylinder and its applications in the development of the Saint-Venant theory ⋮ An asymptotic higher-order theory for rectangular beams ⋮ High-frequency long wave vibrations of elastic rods ⋮ On the theory of porous elastic rods ⋮ Variational-asymptotic method of constructing a theory of shells ⋮ Asymptotic derivation of nonlocal beam models from two-dimensional nonlocal elasticity ⋮ Boundary value contact acoustic problems ⋮ Bending, extension, and torsion of naturally twisted rods ⋮ On the theory of curvilinear Timoshenko-type rods

Cites Work

• Unnamed Item
• Unnamed Item
• On the proof of the Saint-Venant principle for bodies of arbitrary shape
• Saint-Venant's principle
• A general theory of elastic beams
• On Saint-Venant's principle in the dynamics of beams
• The Shear Coefficient in Timoshenko’s Beam Theory
• On nonlinear tensor functions in the theory of relativity
• Asymptotic Theory of Wave‐Motion in Rods (Longitudinal Wave‐Motion)

This page was built for publication: On equations describing the transverse vibrations of elastic bars