Spectral element methods for nonlinear spatio-temporal dynamics of an Euler-Bernoulli beam

DOI10.1007/BF02824851zbMath0895.73076OpenAlexW2080656819MaRDI QIDQ1368127

Bernhard Rupp

Publication date: 27 September 1998

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02824851

zbMATH Keywords

Hermitian polynomialsDuffing's equationforced lateral vibrationsgeneralized Galerkin methodLagrangian spectral polynomialsmixed discontinuous Galerkin formulation

Mathematics Subject Classification ID

Related Items (9)

Cost reduction techniques for the design of non-linear flapping wing structures ⋮ An efficient time-discontinuous Galerkin procedure for nonlinear structural dynamics ⋮ A methodology to control numerical dissipation characteristics of velocity based time discontinuous Galerkin space‐time finite element method ⋮ A DISSIPATIVE NUMERICAL METHOD FOR HYBRID SYSTEM WITH VARIABLE COEFFICIENTS ⋮ Spectral element method in time for rapidly actuated systems ⋮ Time discontinuous Galerkin methods with energy decaying correction for non-linear elastodynamics ⋮ Chaotic dynamics of flexible Euler-Bernoulli beams ⋮ Acoustic waves scattered by elastic waveguides using a spectral approach with a 2.5D coupled boundary-finite element method ⋮ A piezoelectric Euler-Bernoulli beam with dynamic boundary control: stability and dissipative FEM

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