Error estimation in finite element transient dynamic analysis using modal superposition

Engineering Computations (Swansea, Wales)

Volumn 14, Issue 1, 1997, Pages 135-158

  Dutta, A ^a   Ramakrishnan, C V ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC LOADS; ERROR ANALYSIS; FINITE ELEMENT METHOD; OPTIMIZATION; TRANSIENTS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRATION; LINEAR SYSTEMS; MATHEMATICAL MODELS; MODAL ANALYSIS; PROBLEM SOLVING; SOFTWARE ENGINEERING; VECTORS;

ELASTODYNAMICS; DISCRETIZATION ERRORS; ERROR ESTIMATION; MODAL SUPERPOSITION METHOD; RITZ VECTORS;

ELASTICITY; FINITE ELEMENT METHOD;

EID: 0030644584     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644409710157668     Document Type: Article

References (13)

1. Zienkiewicz, O.C, De, J.P., Gago, S.R. and Kelly, D.W., "The hierarchical concept in finite element analysis", Computers & Structures, Vol. 16 Nos 1-4, 1983, pp. 53-65.
2. Zienkiewicz, O.C. and Zhu, J.Z., "A simple error estimator and adaptive procedure for practical engineering analysis", International Journal for Numerical Methods in Engineering, Vol. 24, 1987, pp. 337-57.
3. Babuska, I. and Rheinboldt, W.C., "Error estimates for adaptive finite element computation", SIAM Journal of Numerical Analysis, Vol. 15 No. 4, 1978, pp. 736-54.
4. Ladeveze, P. and Leguillon, D., "Error estimate procedure in the finite element method and application", SIAM Journal of Numerical Analysis, Vol. 20 No. 3, 1983, pp. 485-509.
5. Liszka, T. and Orkisz, J., "The finite difference method at arbitrary irregular grids and its application in applied mechanics", Computers & Structures, Vol. 10, 1980, pp. 83-95.
6. Fourment, L. and Chenot, J.L., "Error estimators for viscoplastic materials: application to forming process", Engineering Computations, Vol. 12 No. 5, 1995, pp. 469-90.
7. Zienkiewicz, O.C. and Xie, Y.M., "A simple error estimator and adaptive time stepping procedure for dynamic analysis", Earthquake Engineering Structural Dynamics, Vol. 20, 1991, pp. 871-87.
8. Zeng, L.F., Wiberg, N.-E., Li, X.D. and Xie, Y.M., "A posteriori local error estimation and adaptive time-stepping for Newmark Integration in dynamic analysis", Earthquake Engineering Structural Dynamics, Vol. 21, 1992, pp. 555-71.
9. Zeng, L.F. and Wiberg, N.-E., "Spatial mesh adaptation in semidiscrete finite element analysis of linear elastodynamic problems", Computational Mechanics, Vol. 9, 1992, pp. 315-32.
10. Joo, K.-J. and Wilson, E.L., "An adaptive finite element technique for structural dynamic analysis", Computers & Structures, Vol. 30 No. 6, 1988, pp. 1319-39.
11. Cook, R.D. and Avrashi, J., "Error estimation and adaptive meshing for vibration problems", Computers & Structures, VoL 44 No. 3, 1992, pp. 619-26.
12. Joo, K.-J., Wilson, E.L. and Leger, P., "Ritz vectors and generation criteria for mode superposition analysis", Earthquake Engineering Structural Dynamics, Vol. 18, 1988, pp. 149-67.
13. Xie, H. and Humar, J.L., "Frequency dependent Ritz vectors", Earthquake Engineering Structural Dynamics, Vol. 21, 1992, pp. 215-31.