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Volumn 10, Issue 2, 2009, Pages 191-197

Determination of critical buckling loads for euler columns of variable flexural stiffness with a continuous elastic restraint using homotopy perturbation method

Author keywords

Buckling; Continuous restraint; Elastic stability; Euler column; Homotopy perturbation method; Variable flexural stiffness

Indexed keywords


EID: 65349129667     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (21)

References (31)
  • 1
    • 0343197760 scopus 로고
    • Die altitudine colomnarum sub proprio pondere corruentium
    • In Latin
    • Euler, L.,Die altitudine colomnarum sub proprio pondere corruentium, Acta Acad Petropol, 1778. (In Latin)
    • (1778) Acta Acad Petropol
    • Euler, L.1
  • 2
    • 0002702168 scopus 로고
    • Determination of the greatest height consistent with stability that a vertical pole on mast can be made and of the greatest height to which a tree of given proportions can grow
    • Greenhill, A.G., Determination of the greatest height consistent with stability that a vertical pole on mast can be made and of the greatest height to which a tree of given proportions can grow, Proceedings of the Campridge Phylosophical Society IV, 1883.
    • (1883) Proceedings of the Campridge Phylosophical Society IV
    • Greenhill, A.G.1
  • 3
    • 0001675325 scopus 로고
    • Design of columns of varying cross-section
    • Dinnik, A.N.,Design of columns of varying cross-section, Trans. ASME, 51(1929).
    • (1929) Trans. ASME , vol.51
    • Dinnik, A.N.1
  • 9
    • 0023647896 scopus 로고
    • Exact and effective approximate solution solutions of some divergent type non-conservative problems
    • Elishakoff, I., Pellegrini, F., Exact and effective approximate solution solutions of some divergent type non-conservative problems, J. Sound Vib., 114(1987), 144-148.
    • (1987) J. Sound Vib , vol.114 , pp. 144-148
    • Elishakoff, I.1    Pellegrini, F.2
  • 10
    • 38249034079 scopus 로고
    • Application of Bessel and' Lomel functions and undetermined multiplierGalerkin method version for instability of non-uniform column
    • Elishakoff, I., Pellegrini, F., Application of Bessel and' Lomel functions and undetermined multiplierGalerkin method version for instability of non-uniform column, J. Sound Vib, 115(1987), 182-186.
    • (1987) J. Sound Vib , vol.115 , pp. 182-186
    • Elishakoff, I.1    Pellegrini, F.2
  • 11
    • 0023852857 scopus 로고
    • Exact solution for buckling some divergence type non-conservative systems in terms of Bessel and Lomel functions
    • Elishakoff, I., Pellegrini, F., Exact solution for buckling some divergence type non-conservative systems in terms of Bessel and Lomel functions, Comput. Method. Appl. M., 669(1988), 107-119.
    • (1988) Comput. Method. Appl. M , vol.669 , pp. 107-119
    • Elishakoff, I.1    Pellegrini, F.2
  • 12
    • 0025889282 scopus 로고
    • Buckling loads for variable cross-section members withvariable axial force
    • Eisenberger, M., Buckling loads for variable cross-section members withvariable axial force, Int. J. Solids Struct., 27(1991), 135-143.
    • (1991) Int. J. Solids Struct , vol.27 , pp. 135-143
    • Eisenberger, M.1
  • 13
    • 0003150320 scopus 로고
    • Critical buckling loads for tapered columns
    • Gere, J.M., Carter, W.O.,Critical buckling loads for tapered columns, J. Struct. Eng-ASCE, 88(1962), 1-11.
    • (1962) J. Struct. Eng-ASCE , vol.88 , pp. 1-11
    • Gere, J.M.1    Carter, W.O.2
  • 14
    • 0026206498 scopus 로고
    • Buckling of variable cross-section columns - integral equation approach
    • Arbabi. F., Li, F.,Buckling of variable cross-section columns - integral equation approach, J. Struct. Eng-ASCE, 117(1991).
    • (1991) J. Struct. Eng-ASCE , vol.117
    • Arbabi, F.1    Li, F.2
  • 15
    • 0042502591 scopus 로고
    • Buckling of columns of variable flexural stiffness
    • Siginer, A., Buckling of columns of variable flexural stiffness, J. Eng. Mech-ASCE, 118(1992), 543-640.
    • (1992) J. Eng. Mech-ASCE , vol.118 , pp. 543-640
    • Siginer, A.1
  • 16
    • 0028763613 scopus 로고
    • Stability analysis of bars with multi-segments of varying cross section
    • Li, Q.S., Cao, H., Li, G.,Stability analysis of bars with multi-segments of varying cross section, Comput. Struct., 53(1994), 1085-1089.
    • (1994) Comput. Struct , vol.53 , pp. 1085-1089
    • Li, Q.S.1    Cao, H.2    Li, G.3
  • 17
    • 0029411866 scopus 로고
    • Stability analysis of bars with varying cross section
    • Li, Q.S., Cao, H., Li, G.,Stability analysis of bars with varying cross section, Int. J. Solids Strut., 32(1995), 3217-3228.
    • (1995) Int. J. Solids Strut , vol.32 , pp. 3217-3228
    • Li, Q.S.1    Cao, H.2    Li, G.3
  • 18
    • 0030174590 scopus 로고    scopus 로고
    • Static and dynamic analysis of straight bars with variable cross-section
    • Li, Q.S., Cao, H., Li, G.,Static and dynamic analysis of straight bars with variable cross-section, Comput. Struct., 59(1996), 1185-1191.
    • (1996) Comput. Struct , vol.59 , pp. 1185-1191
    • Li, Q.S.1    Cao, H.2    Li, G.3
  • 19
    • 0032090418 scopus 로고    scopus 로고
    • A mathematical model and analytical solution for buckling of inclined beam columns
    • Sampaio Jr., J.H.B, Hundhausen, J.R..A mathematical model and analytical solution for buckling of inclined beam columns, Appl. Math. Model., 22(1998), 405-421.
    • (1998) Appl. Math. Model , vol.22 , pp. 405-421
    • Sampaio Jr., J.H.B.1    Hundhausen, J.R.2
  • 20
    • 0000202304 scopus 로고
    • The shape of the strongest column
    • Keller, J.B.,The shape of the strongest column, Arch. Ration. Mech. An., 5 (1960), 275-285.
    • (1960) Arch. Ration. Mech. An , vol.5 , pp. 275-285
    • Keller, J.B.1
  • 21
    • 85024509578 scopus 로고
    • Strongest columns and isoperimetric inequalities for eigenvalues
    • Tadjbakhsh, I., Keller., J.B.,Strongest columns and isoperimetric inequalities for eigenvalues, J. Appl. Mech-ASME, 29(1962), 159-164.
    • (1962) J. Appl. Mech-ASME , vol.29 , pp. 159-164
    • Tadjbakhsh, I.1    Keller, J.B.2
  • 22
    • 85024534367 scopus 로고
    • The strongest column - an energy approach
    • Taylor, J.E.,The strongest column - an energy approach, J. Appl. Meck-ASME, 34(1967), 486-487.
    • (1967) J. Appl. Meck-ASME , vol.34 , pp. 486-487
    • Taylor, J.E.1
  • 23
    • 65349127197 scopus 로고    scopus 로고
    • Determination of critical buckling load for elastic columns of constant and variable cross-sections using Variational iteration method
    • accepted for publication
    • Coşkun, S.B., Atay M.T., Determination of critical buckling load for elastic columns of constant and variable cross-sections using Variational iteration method. Comput. Math. Appl. (accepted for publication), 2008.
    • (2008) Comput. Math. Appl
    • Coşkun, S.B.1    Atay, M.T.2
  • 24
    • 65349112083 scopus 로고    scopus 로고
    • Elastic stability of Euler columns with a continuous elastic restraint using Variational iteration method
    • accepted for publication
    • Atay M.T , Coşkun, S.B., Elastic stability of Euler columns with a continuous elastic restraint using Variational iteration method. Comput.Math. Appl. (accepted for publication), 2008.
    • (2008) Comput.Math. Appl
    • Atay, M.T.1    Coşkun, S.B.2
  • 25
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of a homotopy technique and a perturbation technique for non-linear problems
    • He, J.H., A coupling method of a homotopy technique and a perturbation technique for non-linear problems, Int. J. Nonlin. Mech., 35 (2000), 37-43.
    • (2000) Int. J. Nonlin. Mech , vol.35 , pp. 37-43
    • He, J.H.1
  • 26
    • 1242287587 scopus 로고    scopus 로고
    • The homotopy perturbation method for non-linear oscillators with Discontinuities
    • He, J.H., The homotopy perturbation method for non-linear oscillators with Discontinuities, Appl. Math Comput., 151(2004), 287-292 .
    • (2004) Appl. Math Comput , vol.151 , pp. 287-292
    • He, J.H.1
  • 27
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to non-linear wave equation
    • He, J.H., Application of homotopy perturbation method to non-linear wave equation, Chaos Soliton. Fract., 26(2005), 695-700.
    • (2005) Chaos Soliton. Fract , vol.26 , pp. 695-700
    • He, J.H.1
  • 28
    • 4344696077 scopus 로고    scopus 로고
    • Asymptotology by homotopy perturbation method
    • He, J.H., Asymptotology by homotopy perturbation method, Appl. Math. Comput., 156(2004), 591-596.
    • (2004) Appl. Math. Comput , vol.156 , pp. 591-596
    • He, J.H.1
  • 29
    • 30644460357 scopus 로고    scopus 로고
    • The homotopy perturbation method for solving boundary problems
    • He, J.H., The homotopy perturbation method for solving boundary problems, Phys. Lett. A, 350 (2006), 87-88.
    • (2006) Phys. Lett. A , vol.350 , pp. 87-88
    • He, J.H.1
  • 30
    • 50949112266 scopus 로고    scopus 로고
    • An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering
    • He, J.H., An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering, Int. J. Mod. Phys. B 22 (2008)3487-3578.
    • (2008) Int. J. Mod. Phys. B , vol.22 , pp. 3487-3578
    • He, J.H.1
  • 31
    • 50949124409 scopus 로고    scopus 로고
    • Recent development of the homotopy perturbation method
    • He, J.H. Recent development of the homotopy perturbation method, Topol. Method. Nonl. An., 31(2008)205-209
    • (2008) Topol. Method. Nonl. An , vol.31 , pp. 205-209
    • He, J.H.1


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