Structural Engineering and Mechanics

  • 제5권2호
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  • Pages.137-148
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  • 1997
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

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)
  • 발행 : 1997.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  1. Barlow, J. (1976), "Optimal stress location in finite element method", Inernational Journal of Numerical Methods in Engineering, 10, 243-251. https://doi.org/10.1002/nme.1620100202
  2. Hinton, E. and Campbell, J.S. (1974), "Local and global smoothing of discontinuous finite element functions using a least square method, Inernational Journal of Numerical Methods in Engineering, 8, 461-480. https://doi.org/10.1002/nme.1620080303
  3. Stephen, D.B. and Steven, G.P. (1994), "Buckling error estimation using a patch recovery technique", Research Report. FEARC-9402, Finite Element Analysis Research Centre, University of Sydney.
  4. Stephen, D.B. and Steven, G.P. (1994), "Natural frequency error estimation using a patch recovery technique", Research Report, FEARC-9406, Finite Element Analysis Resarch Centre, University of Sydney.
  5. Stephen, D.B. and Steven, G.P. (1994), "Error estimation for plate vibration elements", Engineering Computations, October.
  6. Stephen, D.B. and Steven, G.P. (1994), "Error estimation for plate buckling elements", Computers and Structures, October 1994.
  7. Wieberg, N.E. and Li, X.D. (1994), "Superconvergent patch recovery of finite-element solution and a posteriori $L_2$ norm error esimate", Communications in Numerical Methods in Engineering, 10, 313-320. https://doi.org/10.1002/cnm.1640100406
  8. Zienkiewicz, O.C. and Zhu, J.Z. (1992), "The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique", International Journal of Numerical Methods in Engineering, 33, 1331-1364. https://doi.org/10.1002/nme.1620330702
  9. Zienkiewicz, O.C., Zhu, J.Z. (1992), "The superconvergent patch recovery and a posteriori error estimates, Part Z: Error estimates and adaptivity", International Journal of Numerical Methods in Engineering, 33, 1331-1364. https://doi.org/10.1002/nme.1620330702

피인용 문헌

  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