Stability of shear deformable thin-walled space frames and circular arches

Journal of Engineering Mechanics

Volumn 122, Issue 9, 1996, Pages 844-854

  Chang, Sung Pil ^a   Kim, Sung Bo ^a   Kim, Moon Young ^b  

^a Seoul National University   (South Korea)

^b Sungkyunkwan University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000281240     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1996)122:9(844)     Document Type: Article

References (37)

1. Argyris, J. H., Dunne, P. C., and Scharpf, D. W. (1978). "On large displacement-small strain analysis of structures with rotational degrees of freedom." Comp. Methods in Appl. Mech. and Engrg., 14, 401-451, and 15, 99-135.
2. Argyris, J. H., Dunne, P. C., and Scharpf, D. W. (1978). "On large displacement-small strain analysis of structures with rotational degrees of freedom." Comp. Methods in Appl. Mech. and Engrg., 14, 401-451, and 15, 99-135.
3. Argyris, J. H., Hilpert, O., Malejannakis, G. A., and Scharpf, D. W. (1979). "On the geometrical stiffness of a beam in space - a consistent v. w. approach." Comp. Methods in Appl. Mech. and Engrg., 20, 105-131.
4. Chen, H., and Blandford, G. E. (1991). "Thin-walled space frames. I: large-deformation analysis theory." J. Struct. Engrg., ASCE, 117(8), 2499-2520.
5. Chen, H., and Blandford, G. E. (1991). "Thin-walled space frames. II: algorithmic details and applications." J. Struct. Engrg., ASCE, 117(8), 2521-2539.
6. Chen, W. F., and Atsuta, T. (1977). Theory of beam-columns, Vol. 2, Space behavior and design, McGraw-Hill, New York, N.Y.
7. Conci, A. (1992). "Stiffness matrix for non-linear analysis of thin-walled frames." J. Engrg. Mech., ASCE, 118(9), 1859-1875.
8. Conci, A., and Gattass, M. (1990). "Natural approach for geometric non-linear analysis of thin-walled frames." Int. J. Numer. Methods Engrg., 30, 207-231.
9. Connor, J. J. (1976). Analysis of structural member system. The Ronald Press Co., New York, N.Y.
10. Dvorkin, E. N., Oñate, E., and Oliver, J. (1988). "On a non-linear formulation for curved Timoshenko beam elements considering large displacements/rotation increments." Int. J. Numer. Methods Engrg., 26, 1597-1613.
11. Elias, Z. M. (1986). Theory and methods of structural analysis. John Wiley & Sons, New York, N.Y.
12. IMSL. (1984). Library, Problem-solving software system for mathematical and statistical FORTRAN programming. IMSL, Inc., Houston, Tex.
13. Kang, Y. J., and Yoo, C. H. (1994). "Thin-walled curved beams. I: formulation of nonlinear equations." J. Engrg. Mech., ASCE, 120(10), 2072-2101.
14. Kang, Y. J., and Yoo, C. H. (1994). "Thin-walled curved beams. II: analytical solutions for buckling of arches." J. Engrg. Mech., ASCE, 120(10), 2102-2125.
15. Kim, M. Y., Chang, S. P., and Kim, S. B. (1994). "Spatial stability and free vibration of shear flexible thin-walled elastic beams. I: analytical approach." Int. J. Numer. Methods Engrg., 37, 4097-4115.
16. Kim, M. Y., Chang, S. P., and Kim, S. B. (1994). "Spatial stability and free vibration of shear flexible thin-walled elastic beams. II: numerical approach." Int. J. Numer. Methods Engrg., 37, 4117-4140.
17. Kim, M. Y., Chang, S. P., and Kim, S. B. (1996). "Spatial stability analysis of thin-walled space frames." Int. J. Numer. Methods Engrg., 31, 499-525.
18. Kim, S. B. (1995). "Spatial stability and free vibration analysis of shear deformable thin-walled space frames and circular arches," PhD dissertation, Seoul National Univ., Seoul, South Korea.
19. Kuo, S. R., and Yang, Y. B. (1991). "New theory on buckling of curved beams." J. Engrg. Mech., ASCE, 117(8), 1698-1717.
20. Palani, G. S., and Rajasekaran, S. (1992). "Finite element analysis of thin-walled curved beams made of composites." J. Struct. Engrg., ASCE, 118(8), 2039-2062.
21. Papangelis, J. P., and Trahair, N. S. (1987). "Flexural-torsional buckling of arches." J. Struct. Engrg., ASCE, 113(4), 880-906.
22. Papangelis, J. P., and Trahair, N. S. (1987). "Flexural-torsional buckling tests on arches." J. Struct. Engrg., ASCE, 113(7), 1433-1443.
23. Papangelis, J. P., and Trahair, N. S. (1988). "Buckling of monosymmetric arches under point loads." Engrg. Struct., 10(4), 257-264.
24. Rajasekaran, S., and Padmanbhan, S. (1989). "Equations of curved beams." J. Engrg. Mech., ASCE, 115(5), 1094-1111.
25. Saleeb, A. F., and Gendy, A. S. (1991). "Shear-flexible model for spatial buckling of thin-walled curved beams." Int. J. Numer. Methods Engrg., 31, 729-757.
26. Saleeb, A. F., Chang, T. Y. P., and Gendy, A. S. (1992). "Effective modelling of spatial buckling of beam assemblages accounting for warping constraints and rotation-dependency of moments." Int. J. Numer. Methods Engrg., 33, 469-502.
27. Surana, K. S. (1983). "Geometrically nonlinear formulation for the curved shell elements." Int. J. Numer. Methods Engrg., 19, 581-615.
28. Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill, New York, N.Y.
29. Trahair, N. S., and Papangelis, J. P. (1987). "Flexural-torsional buckling of monosymmetric arches." J. Struct. Engrg., ASCE, 113(10), 2271-2288.
30. Vlasov, V. Z. (1961). Thin walled elastic beams, 2nd Ed., Israel Program for Scientific Transactions, Jerusalem, Israel.
31. Yang, Y. B., and McGuire, W. (1986). "Joint rotations and geometric nonlinear analysis." J. Struct. Engrg., ASCE, 112(4), 879-905.
32. Yang, Y. B., and Kuo, S. R. (1987). "Effect of curvature on stability of curved beams." J. Struct. Engrg., ASCE, 113(6), 1185-1202.
33. Yang, T. B., Kuo, S. R., and Yau, J. D. (1991). "Use of straight beam approach to study buckling of curved beams." J. Struct. Engrg., ASCE, 117(7), 1963-1978.
34. Yang, Y. B., and Kuo, S. R. (1992). "Buckling analysis with full consideration of joint compatibilities." J. Engrg. Mech., ASCE, 118(5), 871-889.
35. Yang, Y. B., and Kuo, S. R. (1994). Theory and analysis of non-linear framed structures. Prentice-Hall, Englewood Cliffs, N.J.
36. Yoo, C. H. (1982). "Flexural-torsional stability of curved beams." J. Engrg. Mech., ASCE, 108(6), 1351-1369.
37. Ziegler, H. (1973). Principles of structural stability. McGraw-Hill, New York, N.Y.