1 |
Doyle, P.F. and Pavlovic, M.N. (1982), "Vibration of beams on partial elastic foundations", Earthq. Eng. Struct. Dyn., 10, 663-674.
DOI
|
2 |
He, J.H. (2000), "A coupling method of a homotopy technique and a perturbation technique for non-linear problems", Int. J. Nonlin. Mech., 35(1), 37-43.
DOI
ScienceOn
|
3 |
He, J.H. (2004a), "The homotopy perturbation method for non-linear oscillators with Discontinuities", Appl. Math. Comput., 151(1), 287-292.
DOI
ScienceOn
|
4 |
He, J.H. (2004b), "Asymptotology by homotopy perturbation method", Appl. Math. Comput., 156(3), 591-596.
DOI
ScienceOn
|
5 |
He, J.H. (2005), "Application of homotopy perturbation method to non-linear wave equation", Chaos Soliton. Fract., 26(3), 695-700.
DOI
ScienceOn
|
6 |
He, J.H. (2006), "The homotopy perturbation method for solving boundary problems", Phys. Lett. A, 350(1), 87- 88.
DOI
|
7 |
Hesameddini, E. and Latifizadeh, H. (2009a), "An optimal choice of initial solutions in the homotopy perturbation method", Int. J. Nonlin. Sci. Num., 10, 1389-1398.
|
8 |
Hesameddini, E. and Latifizadeh, H. (2009b), "A new vision of the He's homotopy perturbation method", Int. J. Nonlin. Sci. Num., 10, 1415-1424.
|
9 |
Ozdemir, O. and Kaya, M.O. (2006), "Flabse bending vibration analysis of a rotating tapered cantilever Bernoulli-Euler beam by differential transform method", J. Sound Vib., 289, 413-420.
DOI
ScienceOn
|
10 |
Ozturk, B. (2009), "Free vibration analysis of beam on elastic foundation by the variational iteration method", Int. J. Nonlin. Sci. Num., 10(10), 1255-1262.
|
11 |
Raftoyiannis, I.G., Avraam, T.P. and Michaltsos, G.T. (2010), "Dynamic behavior of infinite beams resting on elastic foundation under the action of moving loads", Struct. Eng. Mech., 35(3), 379-382.
DOI
|
12 |
Tuma, J. and Cheng, F. (1983), Theory and Problems of Dynamic Structural Analysis, Schaum's Outline Series, McGraw-Hill Inc., New York, U.S.A.
|
13 |
West, H.H. and Mafi, M. (1984), "Eigenvalues for beam-columns on elastic supports", J. Struct. Eng.-ASCE, 110, 1305-1319.
DOI
ScienceOn
|
14 |
Civalek,O. and Ozturk, B. (2010), "Free vibration analysis of tapered beam-column with pinned ends embedded in Winkler-Pasternak elastic foundation", Geomech. Eng., 2(1), 45-56.
DOI
|
15 |
Atay, M.T. (2009), "Determination of critical buckling loads for variable stiffness Euler Columns using Homotopy Perturbation Method", Int. J. Nonlin. Sci. Num., 10(2), 199-206.
|
16 |
Chen, C.K. and Ho, S.H. (1996), "Application of differential transformation to eigenvalue problem", J. Appl. Math. Comput., 79, 173-188.
DOI
|
17 |
Chen, C.K. and Ho, S.H. (1999), "Transverse vibration of a rotating twisted Timoshenko beams under axial loading using differential transform", Int. J. Mech. Sci., 41, 1339-1356.
DOI
ScienceOn
|
18 |
Coskun, S.B. (2009), "Determination of critical buckling loads for Euler columns of variable flexural stiffness with a continuous elastic restraint using Homotopy Perturbation Method", Int. J. Nonlin. Sci. Num., 10(2), 191-197.
|
19 |
Coskun, S.B. (2010), "Analysis of tilt-buckling of Euler columns with varying flexural stiffness using homotopy perturbation method", Math. Model. Anal., 15(3), 275-286.
DOI
|
20 |
Catal, H.H. (2002), "Free vibration of partially supported piles with the effects of bending moment, axial and shear force", Eng. Struct., 24, 1615-1622.
DOI
ScienceOn
|
21 |
Catal, S. (2008), "Solution of free vibration equations of beam on elastic soil by using differential transform method", Appl. Math. Model., 32, 1744-1757.
DOI
ScienceOn
|