An Error Indicator Based on a Wave Dispersion Analysis for the Vibration Modes of Isotropic Elastic Solids Discretized by Energy-Orthogonal Finite Elements

Authors

  • Francisco José Brito Departamento de Ingeniería Industrial, Universidad de La Laguna, Calle Méndez Núñez 67-2C, Santa Cruz de Tenerife 38001, Spain

DOI:

https://doi.org/10.13052/ejcm1958-5829.2833

Keywords:

vibration eigenmodes.

Abstract

This paper studies the dispersion of elastic waves in isotropic media discretized by the finite element method. The element stiffness matrix is split into basic and higher order components which are respectively related to the mean and deviatoric components of the element strain field. This decomposition is applied to the elastic energy of the finite element assemblage. By a dispersion analysis the higher order elastic energy is related to the elastic energy error for the propagating waves. An averaged correlation is proposed and successfully tested as an error indicator for finite element vibration eigenmodes.

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References

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Published

2019-09-02

How to Cite

Brito, F. J. (2019). An Error Indicator Based on a Wave Dispersion Analysis for the Vibration Modes of Isotropic Elastic Solids Discretized by Energy-Orthogonal Finite Elements. European Journal of Computational Mechanics, 28(3), 171–206. https://doi.org/10.13052/ejcm1958-5829.2833

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Original Article