1. Achref, H., Foudil, M., Cherif, B., "Higher buckling and lateral buckling strength of unrestrained and braced thin-walled beams: Analytical, numerical and design approach applications", Journal of Constructional Steel Research, vol. 155, 2019, pp. 1-19. [
DOI:10.1016/j.jcsr.2018.12.007]
2. Andrade, A., Camotim, D., "Lateral-torsional buckling of singly symmetric tapered beams, Theory and applications", Journal of Engineering Mechanics, ASCE, vol. 131(6), 2005, pp. 586-97. [
DOI:10.1061/(ASCE)0733-9399(2005)131:6(586)]
3. Andrade, A., Camotim, D., Borges Dinis, P., "Lateral-torsional buckling of singly symmetric web-tapered thin-walled I-beams, 1D model vs. shell FEA", Computers and Structures, vol. 85, 2007, pp. 1343-1359. [
DOI:10.1016/j.compstruc.2006.08.079]
4. ANSYS, Version 5.4, Swanson Analysis System, Inc, 2007.
5. Asgarian, B., Soltani, M., Mohri, F., "Lateral-torsional buckling of tapered thin-walled beams with arbitrary cross-sections", Thin-Walled Structures, vol. 62, 2013, pp. 96-108. [
DOI:10.1016/j.tws.2012.06.007]
6. Attard, M.M., Kim, M-Y., "Lateral buckling of beams with shear deformations - A hyperelastic formulation", International Journal of Solids and Structures; vol. 47, 2010, pp. 2825-2840. [
DOI:10.1016/j.ijsolstr.2010.06.012]
7. Bazant, Z.P., Cedolin, L., "Stability of structures. Elastic, Inelastic, Fracture and Damage Theories", New York, Dover Publications, (1991).
8. Benyamina, A.B, Meftah, S.A, Mohri, F., Daya, M., "Analytical solutions attempt for lateral torsional buckling of doubly symmetric web-tapered I-beams", Engineering structures, vol. 56, 2013, pp. 1207-1219. [
DOI:10.1016/j.engstruct.2013.06.036]
9. Brown, T.G., "Lateral-torsional buckling of tapered I-beams", Journal of the Structural Division, ASCE, vol. 107(4), 1981, pp. 689-697.
10. Challamel N., Wang, C.M., "Exact lateral-torsional buckling solutions for cantilevered beams subjected to intermediate and end transverse point loads", Thin-Walled Structures, vol. 48, 2010, pp. 71-76. [
DOI:10.1016/j.tws.2009.08.006]
11. Chen, W.F., Lui, E.M., "Structural stability, theory and implementation", New York, Elsevier, (1987).
12. Chen, H., Zhu, Y.F., Yao, Y., Huang, Y., "The finite element model research of the pre-twisted thin-walled beam", Structural Engineering and Mechanics, vol. 57(3), 2016, pp. 389-402. [
DOI:10.12989/sem.2016.57.3.389]
13. Chen, Z., Li, J., Sun, L., "Calculation of critical lateral-torsional buckling loads of beams subjected to arbitrarily transverse loads", International Journal of Structural Stability and Dynamics, vol. 19(3), 2019, 1950031. [
DOI:10.1142/S0219455419500317]
14. Erkmen, R.E., Mohareb, M., "Buckling analysis of thin-walled open members- A complementary energy variational principle", Thin-Walled Structures, vol. 46, 2008, pp. 602-617. [
DOI:10.1016/j.tws.2008.01.001]
15. Erkmen, R.E., Mohareb, M., "Buckling analysis of thin-walled open members- A Finite Element formulation", Thin-Walled Structures, vol. 46, 2008, pp. 618-63. [
DOI:10.1016/j.tws.2007.12.002]
16. Kabir, M.Z., Seif, A.E., "Lateral-torsional buckling of retrofitted steel I-beams using FRP sheets", Scientia Iranica-Transaction A: Civil Engineering, vol. 17(4), 2010, pp. 262-272.
17. Kim, S-B, Kim, M-Y., "Improved formulation for spatial stability and free vibration of thin-walled tapered beams and space frames", Engineering Structures, vol. 22, 2000, pp.446-458. [
DOI:10.1016/S0141-0296(98)00140-0]
18. Kurniawan, C.W., Mahendran, M., "Elastic lateral buckling of simply supported Lite Steel beams subject to transverse loading", Thin-Walled Structures, vol. 47, 2009, pp. 109-119. [
DOI:10.1016/j.tws.2008.05.012]
19. Kuś, J., "Lateral-torsional buckling steel beams with simultaneously tapered flanges and web", Steel and Composite Structures, vol. 19(4), 2015, pp. 897-916. [
DOI:10.12989/scs.2015.19.4.897]
20. Lei, Z., Shu, T.G., "Lateral buckling of web-tapered I-beams: A new theory", Journal of Constructional Steel Research, vol. 64, 2008, pp. 1379-1393. [
DOI:10.1016/j.jcsr.2008.01.014]
21. Lezgy-Nazargah, M., "A generalized layered global-local beam theory for elasto-plastic analysis of thin-walled members", Thin-Walled Structures, vol. 115, 2017, pp.48-57. [
DOI:10.1016/j.tws.2017.02.004]
23. Mohri, F., Damil, N., Ferry, M.P., "Linear and non-linear stability analyses of thin-walled beams with mono symmetric I sections", Thin-Walled Structures, vol. 48, 2013, pp. 299-315. [
DOI:10.1016/j.tws.2009.12.002]
24. Mohri, F., Meftah, S. A, Damil, N., "A large torsion beam Finite Element model for tapered thin-walled open cross-sections beams", Engineering Structures, vol. 99, 2015, pp. 132-148. [
DOI:10.1016/j.engstruct.2015.04.039]
25. Nguyen, T. T., Thang, P. T., Lee, J., "Flexural-torsional stability of thin-walled functionally graded open-section beams", Thin-Walled Structures, vol. 110, 2017, pp. 88-96. [
DOI:10.1016/j.tws.2016.09.021]
26. Nguyen, T. T., Thang, P. T., Lee, J., "Lateral buckling analysis of thin-walled functionally graded open-section beams", Composite Structures, vol. 160, 2017, pp. 952-963. [
DOI:10.1016/j.compstruct.2016.10.017]
27. Pasquino, M., Sciarra, F.M., "Buckling of thin-walled beams with open and generally variable section", Computers and Structures, vol. 44, 1992, pp. 843-849. [
DOI:10.1016/0045-7949(92)90470-K]
28. Rao, C. K., Rao, L. B., "Torsional post-buckling of thin-walled open section clamped beam supported on Winkler-Pasternak foundation", Thin-Walled Structures, vol. 116, 2017, pp. 320-325. [
DOI:10.1016/j.tws.2017.03.017]
29. Ruta, P., Szybinski, J., "Lateral stability of bending non-prismatic thin-walled beams using orthogonal series", Procedia Engineering, vol. 11, 2015, pp. 694-701. [
DOI:10.1016/j.proeng.2015.07.134]
30. Soltani, M., Asgarian, B., Mohri, F., "Elastic instability and free vibration analyses of tapered thin-walled beams by the power series method", Journal of constructional steel research, vol. 96, 2014, pp. 106-126. [
DOI:10.1016/j.jcsr.2013.11.001]
31. Soltani, M., Asgarian, B., Mohri, F., "Finite Element method for stability and free vibration analyses of non-prismatic thin-walled beams", Thin-Walled Structures, vol. 82, 2014, pp. 245-261. [
DOI:10.1016/j.tws.2014.04.012]
32. Soltani, M., Asgarian, B., Mohri, F., "Improved finite element model for lateral stability analysis of axially functionally graded non-prismatic I-beams", International Journal of Structural Stability and Dynamics, vol. 19(9), 2019, 1950108. [
DOI:10.1142/S0219455419501086]
33. Tan, M., Cheng, W., "Non-linear lateral buckling analysis of unequal thickness thin-walled box beam under an eccentric load", Thin-Walled Structures, vol. 139, 2019, pp.77-90. [
DOI:10.1016/j.tws.2019.02.028]
34. Timoshenko, S.P., Gere, J.M., "Theory of elastic stability", 2nd Ed. New York, McGraw-Hill, (1961).
35. Vlasov, V.Z., "Thin-walled elastic beams", Moscow, 1959. French translation, Pièces longues en voiles minces, Eyrolles, Paris, (1962).
37. Yau, J.D., "Stability of tapered I-Beams under torsional moments", Finite Elements in Analysis and Design, vol. 42, 2006, pp. 914-927. [
DOI:10.1016/j.finel.2006.01.008]
38. Yuan, W.B., Kim, B., Chen, C., "Lateral-torsional buckling of steel web tapered tee-section cantilevers", Journal of Constructional Steel Research, vol. 87, 2013, pp. 31-37. [
DOI:10.1016/j.jcsr.2013.03.026]