Finite element Galerkin solutions for the nonplanar oscillatory beam equations.

DOI10.1016/S0096-3003(99)00123-XzbMath1057.74039OpenAlexW1998980271MaRDI QIDQ5931638

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Publication date: 25 April 2001

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00123-x

zbMATH Keywords

existenceerror estimatessemidiscrete scheme

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum

Cites Work

• Unnamed Item
• Nonplanar oscillation of beams under periodic forcing
• Non-planar, non-linear oscillations of a beam. I: Forced motions
• Finite difference approximate solutions for the strongly damped extensible beam equations
• \(L^2\)-error estimate for the strongly damped extensible beam equations
• Free vibrations and dynamic buckling of the extensible beam
• Stability theory for an extensible beam
• Initial-boundary value problems for an extensible beam
• The convergence of a Galerkin approximation scheme for an extensible beam