The solution of open and closed elasticas using intrinsic coordinate finite elements

Computer Methods in Applied Mechanics and Engineering

Volumn 146, Issue 1-2, 1997, Pages 127-134

  Golley, B W ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

NEWTON-RAPHSON ITERATION; NODE ROTATIONS;

DEFLECTION (STRUCTURES); FINITE ELEMENT METHOD; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; STRUCTURAL ANALYSIS;

BEAMS AND GIRDERS;

EID: 0031554607     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01231-5     Document Type: Article

References (14)

1. S. Chucheepsakul, S. Buncharoen and C.M. Wang, Large deflection of beams under moment gradient, J. Engrg. Mech. 120 (1994) 1848-1860.
2. S. Chucheepsakul, S. Buncharoen and T. Huang, Elastica of simple variable-arc-length beam subjected to end moment, J. Engrg. Mech. 121 (1994) 767-772.
3. P.C.A. Ngiam and I. Somervaille, Intrinsic coordinate elements for elastica problems, Proc. 11th Australasian Conf. Mech. Struct. Mats., Auckland (1988) 441-446.
4. P.C.A. Ngiam and I. Somervaille, Multi-point lift of offshore pipeline, Proc. 2nd Australasian Port, Harbour and Offshore Eng. Conf., Brisbane (1988) 63-65.
5. P.C.A. Ngiam, Finite element analysis using intrinsic coordinates with special reference to pipeline lifting problems, Ph.D. Thesis, School of Civil Engineering, University of New South Wales, 1990.
6. R. Frisch-Fay, Flexible Bars (Butterworth, London, 1962).
7. B.W. Golley, Large deflections of bars bent through frictionless supports, Int. J. Non-linear Mech. 19(1) (1984) 1-9.
8. J.A. Edwards, Exact equations of a nonlinear spline, ACM Trans. Math. Soft. 18(2) (1992) 174-192.
9. B.W. Golley, The finite element solution to a class of elastica problems, Comput. Methods Appl. Mech. Engrg. 26(2) (1984) 159-168.
10. S. Chucheepsakul and T. Huang, Finite element solution of large deflection analysis of a class of beams, Computational Methods in Engineering, Advances and Applications, World Scientific, Singapore (1992) 45-50.
11. B.W. Golley, On non-linear tension and compression splines, George Sved 80th Birthday Symposium, Adelaide (1990) 118-125.
12. E.H. Lee and G.E Forsythe, Variational study of nonlinear spline curves, SIAM Rev. 15(1) (1973) 120-133.
13. M.A. Malcolm, On the computation of nonlinear spline functions, SIAM J. Numer. Anal. 14(2) (1977) 254-282.
14. G.D. Bowyer, The determination of the deflected shape and bending moments of a bar bent through frictionless supports, BE Thesis, Department of Civil Engineering, Faculty of Military Studies, University of New South Wales, 1985.