Spectral element methods for nonlinear spatio-temporal dynamics of an Euler-Bernoulli beam (Q1368127)
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scientific article; zbMATH DE number 1066675
| Language | Label | Description | Also known as |
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| English | Spectral element methods for nonlinear spatio-temporal dynamics of an Euler-Bernoulli beam |
scientific article; zbMATH DE number 1066675 |
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Spectral element methods for nonlinear spatio-temporal dynamics of an Euler-Bernoulli beam (English)
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27 September 1998
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The space-time spectral element method is employed to solve a simply supported modified Euler-Bernoulli nonlinear beam undergoing forced lateral vibrations. This system was chosen for analysis due to the availability of a reference solution of the form of a forced Duffing's equation. Two formulations were examined: i) a generalized Galerkin method with Hermitian polynomials as interpolants both in spatial and temporal discretization, ii) a mixed discontinuous Galerkin formulation with Hermitian cubic polynomials as interpolants for spatial discretization and Lagrangian spectral polynomials as interpolants for temporal discretization.
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forced lateral vibrations
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Duffing's equation
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generalized Galerkin method
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Hermitian polynomials
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mixed discontinuous Galerkin formulation
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Lagrangian spectral polynomials
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