References
- 細野秀(1974) 弧長法たよろ彈性挫屈問題の解析, 博士學位論文, 東京大學
- Argyris, J. H., Balmer, H., Doltsinis, I. St., Dunne, P. C., Haase, M., Kleiber, M., Malejannakis, G. A., Mlejnek, H. P., Muller, M., Scharpf, D. W.(1979) Finite element method-The natural approach, Computer Methods in Applied Mechanics and Engineering, 17/18, pp.1-106. https://doi.org/10.1016/0045-7825(79)90083-5
- Cheng, H, and Gupta, K. C.(1989) An historical note on finite rotations, J. Applied Mechanics, vol.56, pp.139-145. https://doi.org/10.1115/1.3176034
- Chu, K. H., and Rampetsreiter, R. H.(1972) Large deflection buckling of space frames, J, Struct. Div., ASCE, vol.98(12), pp.2701-2722.
- Choong, K. K., and Hangai, Y.(1993) Review on methods of bilurcation analysis for geometrically nonlinear structures, Int. Assoc. Shells Spatial Structures,(issue dedicated to SE1KEN-IASS Symposium on Nonlinear Analysis and Design for Shell and Spatial Structures), vol.34(2), 133-149.
- Crisfield, M. A.(1997) Nonliear finite element analysis of solids and structures, Vol.2, Advanced Topics, John Wiley & Sons
- Fujii, F., Asada, K.(1993) Branch-switching in simple spatial bifurcation models, SEIKEN-1ASS Svmp. on Nonlinear Analysis and Design for Shells and Spatial Structures, Tokyo, pp.515-522.
- Fujii, F., and Ramm, E.(1997) Computational bifurcation theory- path-tracing, pinpointing and path-switching. ,Engineering Structures, vol.19, pp.385-392 https://doi.org/10.1016/S0141-0296(96)00094-6
- Godstein, H.(1980) Classical Mechanics, Addison-Wesley.
- Kassimali, A.(1983) Large deflection analysis of elastic-plastic frames., J. Struct. Eng., ASCE, vol.109(8), pp.1869-1886. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:8(1869)
- Kassimali, A., Abbasnia, R.(1991) Large deformation analysis of elastic space frames. J. Struc. Eng., ASCE, vol.117(7), pp.2067-2087.
- Oran., C.(1973) Tangent stiffnes in space frame, J. Struct. Div., ASCE, pp.987-1001.
- Riks, E.(1979) An incremental approach to the solution of snapping and buckling problems, Interna. J. Solids Structures, vol 15, pp.529-551. https://doi.org/10.1016/0020-7683(79)90081-7
- Riks, E.(1984) Some computational aspects of the stability analysis of nonlinear structures, Computer Methods in Applied Mechanics and Engineering, vol.47, pp.219-259. https://doi.org/10.1016/0045-7825(84)90078-1
- Sabir, A. B., Lock, A. C.(1973) Large deflection, geometrically nonlinear finite element analysis of circular arches, Int. J. Mech. Sci., vol.15, pp.37. https://doi.org/10.1016/0020-7403(73)90044-1
- Shi, G., Atluri, S. N.(1988) Elasto-plastic large deformation analysis of space-frames : a plastic-hinge and stress-based explicit derivation of tagent stiffness, Int. J. Num. Meth. Eng., vol.26, pp.589-615. https://doi.org/10.1002/nme.1620260306
- Spiller, W. R.(1990) Geometric stiffness matrix for space frames, Computers & Structures, vol.36, no.1, pp.29-37. https://doi.org/10.1016/0045-7949(90)90171-W
- Wriggers, P., Wagner, W., Miehe, C.(1988) A quadratically convergent procedure for the calculation of stability points in finite element analysis. Computer Methods in Applied Mechanics and Engineering, vol.70, pp.329-347. https://doi.org/10.1016/0045-7825(88)90024-2