Afsharfard A, Farshidianfar A (2014) Finding the buckling load of nonuniform columns using the iteration perturbation method. Theor Appl Mech Lett 4(4):041011. https://doi.org/10.1063/2.1404111
Arbabi F, Li F (1991) Buckling of variable cross-section columns:integral-equation approach. J Struct Eng 117(8):2426-2441.https://doi.org/10.1061/(ASCE)0733-9445(1991)117:8(2426)
Atay MT, Co?kun SB (2009) Elastic stability of Euler columns with a continuous elastic restraint using variational iteration method. Comp Math Appl 58(11):2528-2534. https://doi.org/10.1016/j.camwa. 2009.03.051
Bazeos N, Karabalis DL (2006) Efficient computation of buckling loads for plane steel frames with tapered members. Eng Struct 28(5):771-775. https://doi.org/10.1016/j.engstruct.2005.10.004
Dinnik A (1929) Design of columns of varying cross section. Trans ASME 51(1):105-114
Ermopoulos JC (1986) Buckling of tapered bars under stepped axial loads. J Struct Eng 112(6):1346-1354. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:6(1346)
Gere JM, Carter WO (1962) Critical buckling loads for tapered columns.J Struct Div 88(1):1-12
Huang Y, Li XF (2012) An analytic approach for exactly determining critical loads of buckling of nonuniform columns. Int J Struct Stab Dyn 12(04):1250027. https://doi.org/10.1142/S0219455412500277
O’Rourke M, Zebrowski T (1977) Buckling load for nonuniform columns. Comput Struct 7(6):717-720. https://doi.org/10.1016/0045-7949(77)90025-6
Rahai A, Kazemi S (2008) Buckling analysis of non-prismatic columns based on modified vibration modes. Commun Nonlinear Sci Numer Simul 13(8):1721-1735. https://doi.org/10.1016/j.cnsns.2006.09.009
Rajasekaran S (2013) Buckling and vibration of axially functionally graded nonuniform beams using differential transformation based dynamic stiffness approach. Meccanica 48(5):1053-1070. https://doi.org/10.1007/s11012-012-9651-1
Serna M, Ibáñez J, López A (2011) Elastic flexural buckling of nonuniform members:closed-form expression and equivalent load approach. J Constr Steel Res 67(7):1078-1085. https://doi.org/10.1016/j.jcsr.2011.01.003
Smith WG (1988) Analytic solutions for tapered column buckling.Comput Struct 28(5):677-681. https://doi.org/10.1016/0045-7949(88)90011-9
Timoshenko SP, Gere JM (1961) Theory of elastic stability. McGrawHillKogakusha Ltd, Tokyo, 47-49 and 113-115
Trahair N (2014) Bending and buckling of tapered steel beam structures.Eng Struct 59:229-237. https://doi.org/10.1016/j.engstruct.2013.10.031
Williams FW, Aston G (1989) Exact or lower bound tapered column buckling loads. J Struct Eng 115(5):1088-1100. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:5(1088)
Yilmaz Y, Girgin Z, Evran S (2013) Buckling analyses of axially functionally graded nonuniform columns with elastic restraint using a localized differential quadrature method. Math Probl Eng 2013(793062):1-12. https://doi.org/10.1155/2013/793062
Zhang H, Wang C, Ruocco E, Challamel N (2016) Hencky bar-chain model for buckling and vibration analyses of non-uniform beams on variable elastic foundation. Eng Struct 126:252-263. https://doi.org/10.1016/j.engstruct.2016.07.062