Structural Engineering and Mechanics

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Natural frequency error estimation for 3D brick elements

  • Stephen, D.B. (Finite Element Analysis Research Centre, Building J07, Engineering Faculty, University of Sydney) ;
  • Steven, G.P. (Finite Element Analysis Research Centre, Building J07, Engineering Faculty, University of Sydney)
  • Published : 1997.03.25
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Abstract

In computing eigenvalues for a large finite element system it has been observed that the eigenvalue extractors produce eigenvectors that are in some sense more accurate than their corresponding eigenvalues. From this observation the paper uses a patch type technique based on the eigenvector for one mesh quality to provide an eigenvalue error indicator. Tests show this indicator to be both accurate and reliable. This technique was first observed by Stephen and Steven for an error estimation for buckling and natural frequency of beams and two dimensional in-plane and out-of-plane structures. This paper produces and error indicator for the more difficult problem of three dimensional brick elements.

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References

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Cited by

  1. Error estimation for natural frequency finite element analysis vol.26, pp.1, 1997, https://doi.org/10.1016/S0168-874X(96)00069-8
  2. Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999) vol.17, pp.3, 2000, https://doi.org/10.1108/02644400010324893
  3. Improving the eigenvalue using higher order elements without re-solving vol.5, pp.4, 1997, https://doi.org/10.12989/sem.1997.5.4.385
  4. Error estimates and adaptive finite element methods vol.18, pp.5/6, 2001, https://doi.org/10.1108/EUM0000000005788