Error estimation for natural frequency finite element analysis

Finite Elements in Analysis and Design

Volumn 26, Issue 1, 1997, Pages 21-40

  Stephen, D B ^a   Steven, G P ^a  

^a NONE

Author keywords

Eigenvalue improvement; Error estimation; Finite elements; Patch recovery

Indexed keywords

ERROR ESTIMATION;

BUCKLING; EIGENVALUES AND EIGENFUNCTIONS; ERROR ANALYSIS; FINITE ELEMENT METHOD; INTERPOLATION; LOADS (FORCES); STRUCTURES (BUILT OBJECTS);

NATURAL FREQUENCIES;

EID: 0031146847     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(96)00069-8     Document Type: Article

References (21)

1. P.O. Friberg, "An error indicator for the generalized eigenvalue problem using the hierarchical finite element method", Int. J. Numer. Methods Eng. 23, pp. 91-98, 1986.
2. O. Friberg, P. Moller, D. Makovicka and N.E. Wiberg, "An adpative procedure for eigenvalue problems using the hierarchical finite element method", Int. J. Numer. Methods Eng. 24, pp. 319-335, 1987.
3. R.D. Cook, "An error estimate and h-adaptive strategy in vibration analysis", Proc. 6th Internat. Conf. on Finite Element Methods, pp. K1-K5, 1991.
4. R.D. Cook, "Error estimation for eigenvalues computed from discretised models of vibrating structures", AIAA J. pp. 1527-1529, 1991.
5. R.D. Cook and J. Averashi, "Error estimation and adaptive meshing for vibration problems", Comput. Struct. 44, pp. 619-626, 1992.
6. J. Averashi and R.D. Cook, "New error estimation for C0 eigenproblems in finite element analysis", Eng. Comput. 10, pp. 243-256, 1993.
7. I. Fried, "Accuracy of finite element eigenproblems", J. Sound Vib. 18. pp. 289-295, 1971.
8. D.B. Stephen and G.P. Steven, "Buckling error estimation using a patch recovery technique", Int. J. Numer. Methods Eng. (submitted).
9. D.B. Stephen and G.P. Steven, "Buckling error estimation using a patch recovery technique", Research Report, FEARC-9402, Finite Element Analysis Research Centre, University of Sydney, 1994.
10. D.B. Stephen and G.P. Steven, "Natural frequency error estimation using a patch recovery technique", Int. J. Numer. Methods Eng. (submitted) October 1994.
11. D.B. Stephen and G.P. Steven, "Natural frequency error estimation using a patch recovery technique", Research Report, FEARC-9406, Finite Element Analysis Research Centre, University of Sydney, 1994.
12. D.B. Stephen and G.P. Steven, "Error estimation for natural frequency analysis using plate elements", Eng. Comput. (to be published).
13. D.B. Stephen and G.P. Steven, "Error estimation for plate vibration elements", Comput. Struct. (submitted).
14. D.B. Stephen and G.P. Steven, "Error estimation for plate vibration elements", J. Sound Vib. (submitted).
15. D.B. Stephen and G.P. Steven, "Error estimation for plate vibration elements", Research Report, FEARC-9408, Finite Element Analysis Research Centre, University of Sydney, 1994.
16. D.B. Stephen and G.P. Steven, "Natural frequency error estimation using a patch recovery technique", J. Sound Vib. (submitted.).
17. D.B. Stephen and G.P. Steven, "Natural frequency error estimation using a patch recovery technique", Research Report, FEARC-9510, Finite Element Analysis Research Centre, University of Sydney, 1995.
18. D.B. Stephen and G.P. Steven, "Natural frequency error estimation for 3D brick elements", Struct. Eng. Mech. (submitted).
19. D.B. Stephen and G.P. Steven, "Natural frequency error estimation for 3D brick elements", Research Report, FEARC-9508, Finite Element Analysis Research Centre, University of Sydney, 1995.
20. D.B. Stephen and G.P. Steven, "Improving the eigenvector in a patch recovery technique", Eng. Comput. (submitted).
21. S.H. Crandall, Engineering Analysis, McGraw-Hill, New York, 1956.