An arbitrary-shaped arch element for large deflection analysis

Computers and Structures

Volumn 65, Issue 4, 1997, Pages 593-600

  Chakraborty, S ^a   Majumdar, S ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ARCHES; BENDING (DEFORMATION); BUCKLING; DEFLECTION (STRUCTURES); EQUATIONS OF MOTION; INTEGRATION; STRUCTURAL ANALYSIS;

AXIAL FORCE;

FINITE ELEMENT METHOD;

EID: 0031272010     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(97)80863-2     Document Type: Article

References (16)

1. D. A. Da Deppo and R. Schmidt, Side sway buckling of deep circular arches under concentrated load. J. appl. Mech. 36, 325-327 (1969).
2. J. V. Huddleston, Finite deflection and snap-through of high circular arches. J. appl. Mech. 35, 763-769 (1968).
3. R. D. Cook, D. S. Malkus and M. E. Plesha, Concepts and Applications of Finite Element Analysis. 3rd Edn. John Wiley (1989).
4. Y. Tada and G. C. Lee. Finite element solution to an elastica problem of beams. Int. J. Numer. Meth. Engng 2, 299 (1970).
5. M. Epstein and D. W. Murray, Large deformation in-plane analysis of elastic beams. Comput. Struct. 6, 1-9 (1976).
6. T. Y. Yang, Matrix displacement solution to elastica problems of beams and frames. Int. J. Solids Struct. 9, 829-842 (1973).
7. R. D. Wood and O. C. Zienkiewicz, Geometrically nonlinear finite element analysis of beams, frames, arches and axisymmetric shells. Comput. Struct. 7, 725-735 (1977).
8. G. Karami, M. Farshad and M. R. Banan, Spatial buckling of arches - a finite element analysis. Comput. Struct. 4, 565-576 (1990).
9. J. C. Ferguson, Multivariable curve interpolation. J. ACM. 11, 221-228 (1964).
10. I. D. Faux and M. J. Pratt, Computational Geometry for Design and Manufacture. Ellis Horwood (1979).
11. M. A. Crisfield, A faster Newton-Raphson iteration. Comput. Meth. appl. Mech. Engng 20, 267-268 (1979).
12. M. A. Crisfield, A fast incremental/iterative solution procedure that handles 'snap-through'. Comput. Struct. 13, 55-62 (1981).
13. M. A. Crisfield, An arc-length method including line searches and accelerations. Int. J. Numer. Meth. Engng 19, 1269-1289 (1983).
14. E. Riks, An incremental approach to the solution of snapping and buckling problems. Comput. Struct. 15, 529-551 (1979).
15. M. J. Clarke and G. J. Hancock, A study on incremental-iterative for non-linear analysis. Int. J. Numer. Meth. Engng 29, 1365-1391 (1990).
16. S. Timoshenko and J. N. Goodier, Theory of Elastic Stability, 2nd Edn. McGraw-Hill, New York (1961).