Adaptive finite element analysis of structures under transient dynamic loading using modal superposition

Finite Elements in Analysis and Design

Volumn 31, Issue 4, 1999, Pages 255-272

  Dutta, A ^a   Ramakrishnan, C V ^b   Mahajan, P ^b  

^a NATIONAL INSTITUTE OF TECHNOLOGY SILCHAR   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

Adaptive; Error estimation; Finite element; Mesh generation; Stress recovery

Indexed keywords

EID: 0000301738     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(98)00061-4     Document Type: Article

References (17)

1. Zienkiewicz O.C., Xie Y.M. A simple error estimator and adaptive time stepping procedure for dynamic analysis. Earthquake Eng. Struct. Dyn. 20:1991;871-887.
2. Zeng L.F., Wiberg N.-E., Li X.D., Xie Y.M. A posteriori local error estimation and adaptive time-stepping for Newmark Integration in dynamic analysis. Earthquake Eng. Struct. Dyn. 21:1992;555-571.
3. Zeng L.F., Wiberg N.-E. Spatial mesh adaptation in semidiscrete finite element analysis of linear elastodynamic problems. Comput. Mech. 9:1992;315-332.
4. Wiberg N.E., Li X.D. A post-processed error estimate and an adaptive procedure for the semidiscrete finite element method in dynamic analysis. Int. J. Numer. Meth. Eng. 37:1994;3585-3603.
5. Joo K.J., Wilson E.L. An adaptive finite element technique for structural dynamic analysis. Comput. Struct. 30(6):1988;1319-1339.
6. Cook R.D., Avrashi J. Error estimation and adaptive meshing for vibration problems. Comput. Struct. 44(3):1992;619-626.
7. A. Dutta, C.V. Ramakrishnan, Error estimation in finite element transient dynamic analysis using modal superposition method, Eng. Comput. 14 (1) 1997.
8. Zienkiewicz O.C., Zhu J.Z. A simple error estimator and adaptive procedure for practical engineering analysis. Int. J. Numer. Meth. Eng. 24:1987;337-357.
9. A. Sinha, C.V. Ramakrishnan, Growth methods and binary space partitioning for efficient finite element mesh generation, Internal Report, Applied Mechanics Dept., IIT, Delhi (1998).
10. Ahmad S., Irons B.M., Zienkiewicz O.C. Analysis of thick and thin shell structures by curved finite elements. Int. J. Num. Meth. Eng. 2:1970;419-451.
11. Hinton E., Campbell J.S. Local and global smoothing of discontinuous finite element functions using a least squares method. Int. J. Num. Meth. Eng. 8:1974;461-480.
12. Zienkiewicz O.C., Zhu J.Z. The superconvergent patch recovery and a posteriori error estimates. Part 1. the recovery technique Int. J. Num. Meth. Eng. 33:1992;1331-1364.
13. Zhu J.Z., Zienkiewicz O.C., Hinton E., Wu J. A new approach to the development of automatic quadrilateral mesh generation. Int. J. Num. Meth. Eng. 32:1991;849-866.
14. Lee C.K., Lo S.H. A new scheme for the generation of a graded quadrilateral mesh. Comput. Struct. 52(5):1994;847-857.
15. Cass R.J., Benzley S.E., Meyers R.J., Blacker T.D. Generalized 3-D paving. An automated quadrilateral surface mesh generation algorithm Int. J. Num. Meth. Eng. 39:1996;1475-1489.
16. Lo S.H. Automatic mesh generation and adaptation by using contours. Int. J. Num. Meth. Eng. 31:1991;689-707.
17. Peraire J., Vahdati M., Morgan K., Zienkiewicz O.C. Adaptive remeshing for compressible flow computations. J. Comp. Phys. 72(2):1987;449-466.