1 |
Neuenhofer, A. and Filippou, F.C. (1998), 'Geometrically nonlinear flexibility-based frame finite element', J Strnct. Eng., 124, 704-711
DOI
ScienceOn
|
2 |
Srpcic, S. and Saje, M. (1986), 'Large deformations of thin curved plane beam of constant initial curvature', Int. J Mech. Sci., 28, 275
DOI
ScienceOn
|
3 |
ADINA (2000), 'ADINA user interface (AUI) users guide', ADINA R and D, Inc., Watertown, MA
|
4 |
Argyris, J.H. and Symeonidis, S. (1981), 'Nonlinear finite-element analysis of elastic systems under nonconservative loading-natural formulation, Part 1: Quasistatic problems', Camp. Meths. Appl. Mech. Eng., 26, 180-185
|
5 |
Bathe, KJ. and Bolourchi, S. (1979), 'Large displacement analysis of three-dimensional beam structures', Int. J Num. Meth. Eng., 14, 961-986
DOI
ScienceOn
|
6 |
Bona, F. and Zelenika, S. (1997), 'A generalized elastica-type approach to the analysis of large displacements of spring-strips', Proc. Inst. Mech. Eng. Part C, 21, 509-517
|
7 |
Crisfield, M.A. (1991), Non-linear Finite Element Analysis of Solids and Structures, Volume 1: Essentials, NY, Wiley & Sons
|
8 |
Crisfield, M.A. (1997), Non-linear Finite Element Analysis of Solids and Structures. Volume II: Advanced Topics, NY, Wiley & Sons
|
9 |
Chucheepsakul, S. and Huang, T. (1997), 'Finite element solution of variable-are-length beams under a point load', J Struct. Eng., 123, 968-970
DOI
ScienceOn
|
10 |
Chucheepsakul, S., Buncharoen, S. and Wang, C.M. (1994), 'Large deflection of beams under moment gradient', J Eng. Mech., ASCE, 120, 1848
DOI
ScienceOn
|
11 |
Gerald, C.E. and Wheatley, P.O. (1970), Applied Numerical Analysis Reading Mass, Addison Wesley
|
12 |
Golley, RW. (1984), 'The finite element solution of a class of elastica problems', Camp. Meth. Appl. Mech. Eng., 46, 159-168
DOI
ScienceOn
|
13 |
Hinton, E. (1992), 'NAFEMS: Introduction to nonlinear finite element analysis', NAFEMS Ltd
|
14 |
Kassimali, A. and Abbasnia, R. (1991), 'Large deformation analysis of elastic space frames', J Strnct. Eng., 117(7), 2069-2087
DOI
|
15 |
Katsikadelis, J.T. and Tsiatas, GC. (2003), 'Large def lection analysis of beams with variable stiffuess', Acta Mechanica, 164, 1-13
DOI
|
16 |
Kooi, RW and Kuipers, M. (1984), 'A unilateral contact problem with the heavy elastica', Int. J Non-Linear Mech., 19, 309-321
DOI
ScienceOn
|
17 |
Kooi, RW (1985), 'A unilateral contact problem with the heavy elastica solve by use of finite element', Int. J Non-Linear Mech., 21, 95-103
|
18 |
Lee, K. (2001), 'Post-buckling of uniform cantilever column under a combined load', Int. J Mech. Non-Linear Mech., 36, 813-816
DOI
ScienceOn
|
19 |
Mau, S.T. (1990), 'Elastica solution of braced struts', J Eng. Mech., 116,688
DOI
|
20 |
Mattiasson, K (1981), 'Numerical results from large deflection beam and frame problems analysis by means of elliptic integrals', Int. J Num. Meth. Eng., 16, 145
|
21 |
Oden, J.T. (1972), Finite Elements of Nonlinear Continua, NY, McGraw-Hill
|
22 |
Ohtsuki, A. and Ellyin, E (2001), 'Analytical approach to large deformation problems of frame structures (in case of a square frame with rigid joints)', JSME Int. J, 44, 89-93
DOI
ScienceOn
|
23 |
Gran, C. and Kassimali, A. (1976), 'Large defonnations of framed structures under static and dynamic loads', Compo Strnct., 6, 539-547
DOI
ScienceOn
|
24 |
Surana, KS. (1983), 'Geometrically non-linear formulation for two dimensional curved beam elements', Comput. Struct., 17, 105-114
DOI
ScienceOn
|
25 |
Taylor, R.L., Filippou, EC., Saritas, A. and Auricchio, E (2003), 'A mixed finite element method for beam and frame problems', Comput. Mech., 31, 192-203
DOI
|
26 |
Timoshenko, S.P. and Gere, J.M. (1961), Theory of Elastic Stability, NY, McGraw-Hill
|
27 |
Wang, C.M., Lam, KY., He, X.Q. and Chucheepsakul, S. (1997), 'Large defonnation of an end supported beam subjected to a point load', Int. J Non-Linear Mech., 32, 63-72
DOI
ScienceOn
|
28 |
Wang, C.Y. and Watson, L.T. (1980), 'On large deformations of C-shaped springs', Int. J Mech. Sci., 22, 395-400
DOI
ScienceOn
|
29 |
Wang, C.Y. (1981), 'Large deformations of a heavy cantilever', Quart. Appl. Math., 39, 261-273
DOI
|
30 |
Wang, C.Y. and Watson, L.T. (1982), 'The elastic catenary', Int. J Mech. Sci., 24, 349-357
DOI
ScienceOn
|
31 |
Williams, EW (1964), 'An approach to the non-linear behavior of the members of a rigid jointed plane framework with finite deflections', Quart. J Mech. Appl. Math., 17,451-469
DOI
|
32 |
Watson, L.T. and Wang, C.Y. (1983), 'Periodically supported heavy elastica sheet', J Eng. Mech. Div., ASCE, 109,811
DOI
ScienceOn
|
33 |
Yang, T.Y. (1973), 'Matrix displacement solution to elastica problems of beams and frames', Int. J Solids Struct., 9, 829-841
DOI
ScienceOn
|
34 |
Yang, Y.R and Kuo, S.R. (1994), Theory and Analysis of Nonlinear Framed Strnctures, Prentice Hall, New York
|
35 |
Saje, M. and Srpcic, S. (1985), 'Large deformations of in-plane beams', Int. J Solids Strnct., 21, 1181
DOI
ScienceOn
|
36 |
Coffin, D.W. and Bloom, F. (1999), 'Elastica solution for the hygrothermal buckling of a beam', Int. J Non-Linear Mech., 34, 935
DOI
ScienceOn
|
37 |
Golley, B.W. (1997), 'The solution of open and closed elasticas using intrinsic coordinate finite elements', Compo Meth. Appl. Mech. Eng., 146, 127-134
DOI
ScienceOn
|
38 |
Dado, M., AI-Sadder, S. and Abuzeid, O. (2004), 'Post-buckling behavior of two elastica columns linked with a rotational spring', Int. J Non-Linear Mech., 39, 1579-1587
DOI
ScienceOn
|
39 |
Lee, B.K. and Oh, SJ. (2000), 'Elastica and buckling load of simple tapered columns with constant volume', Int. J Solids Struct., 37, 2507-2518
DOI
ScienceOn
|
40 |
Cook, R.D., Malkus, D.S. and Plesha, M.E. (1989), Concepts and Applications of Finite Element Analysis, Wiley & Sons
|
41 |
Schmidt, W.F. (1977), 'Nonlinear bending of beams using the finite element method', Int. J Compo Struct., 8, 153
|
42 |
Chucheepsakul, S., Wang, C.M., He, X.Q. and Monprapussom, T. (1999), 'Double curvature bending of variable-are-length elastica', J Appl. Mech., 66, 87-94
DOI
ScienceOn
|
43 |
Watson, L.T. and Wang, C.Y. (1981), 'Hanging an elastic ring', Int. J Mech. Sci., 23, 161-167
DOI
ScienceOn
|
44 |
Neuenhofer, A. and Filippou, EC. (1997), 'Evaluation of nonlinear frame finite-element models', J Strnct. Eng., 123, 958-966
DOI
ScienceOn
|