The finite element method (FEM) enables to perform dynamic analysis, which is crucial in determining natural frequencies and mode shapes of structural components. The reliability of the obtained results may be debatable without prior considerations dedicated to accuracy and convergence of the considered mesh. In this study, we compared the convergence of linear and quadratic isoparametric hexahedral finite elements, applied to the solution of the natural vibrations of a 3D cantilever beam. Our results clearly indicated that CPU execution time is considerably reduced when performing FE analysis with hexahedral high order elements.

On the Profitability of Higher Order FE Formulations for Structural Dynamics

Karpik A.;Cosco F.;Mundo D.
2022-01-01

Abstract

The finite element method (FEM) enables to perform dynamic analysis, which is crucial in determining natural frequencies and mode shapes of structural components. The reliability of the obtained results may be debatable without prior considerations dedicated to accuracy and convergence of the considered mesh. In this study, we compared the convergence of linear and quadratic isoparametric hexahedral finite elements, applied to the solution of the natural vibrations of a 3D cantilever beam. Our results clearly indicated that CPU execution time is considerably reduced when performing FE analysis with hexahedral high order elements.
978-3-031-10775-7
978-3-031-10776-4
Calculation time
Convergence
Finite element
Quadrature
Sampling points
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/342340
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