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Boyaci, H. and Pakdemirli, M. (1997), "A comparison of different versions of the method of multiple scales for partial differential equations", J. Sound Vib., 204(4), 595-607.
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Ghayesh M.H. (2012b), "Stability and bifurcations of an axially moving beam with an intermediate spring support", Nonlin. Dyn., 69, 193-210
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Ghayesh, M.H. (2012a), "Nonlinear dynamic response of a simply-supported Kelvin-Voigt viscoelastic beam, additionally supported by a nonlinear spring", Nonlin. Anal. Real World Appl., 13, 1319-1333.
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Ghayesh, M.H. and Paidoussis, M.P. (2010), "Three-dimensional dynamics of a cantilevered pipe conveying fluid, additionally supported by an intermediate spring array", Int. J. Nonlin. Mech., 45, 507-524.
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Pakdemirli, M., Karahan, M.M.F. and Boyaci, H. (2011), "Forced vibrations of strongly nonlinear systems with multiple scales Lindstedt Poincare Method", Math. Comput. Appl., 16(4), 879-889.
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Ghayesh, M.H., Kazemirad, S. and Darabi, M.A. (2011b), "A general solution procedure for vibrations of systems with cubic nonlinearities and nonlinear/time-dependent internal boundary conditions", J. Sound Vib., 330, 5382-5400.
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18 |
Hu, H. (2004), "A classical perturbation technique which is valid for large parameters", J. Sound Vib., 269, 409-412.
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19 |
Karahan, M.M.F. and Pakdemirli, M. (2017), "Free and forced vibrations of the strongly nonlinear cubic-quintic Duffing oscillators", Z. Naturforsch., 72(1), 59-69.
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Leung, A.Y.T. and Guo, Z. (2011), "Residue harmonic balance approach to limit cycles of non-linear jerk equations", Int. J. Nonlin. Mech., 46, 898-906.
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21 |
Oz, H.R. and Pakdemirli, M. (2006), "Two-to-one internal resonances in a shallow curved beam resting on an elastic foundation", Acta Mech., 185, 245-260.
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22 |
Liao S.J. (2004), "On the homotopy analysis method for nonlinear problems", Appl. Math. Comput., 147, 499-513.
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Lim, C.W. and Wu, B.S. (2002), "A modified Mickens procedure for certain non-linear oscillators", J. Sound Vib., 257, 202-206.
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Nayfeh, A.H. (2005), "Resolving controversies in the application of the method of multiple scales and the generalized method of averaging", Nonlin. Dyn., 40, 61-102.
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27 |
Oz, H.R., Pakdemirli, M., Ozkaya, E. and Yilmaz, M. (1998), "Non-linear vibrations of a slightly curved beam resting on a non-linear elastic foundation", J. Sound Vib., 212(2), 295-309.
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28 |
Ozhan, B.B. and Pakdemirli, M. (2009), "A general solution procedure for the forced vibrations of a continuous system with cubic nonlinearities: Primary resonance case", J. Sound Vib., 325, 894-906
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29 |
Ozhan, B.B. and Pakdemirli, M. (2010), "A general solution procedure for the forced vibrations of a continuous system with cubic nonlinearities: three-to-one internal resonances with external excitation", J. Sound Vib., 329(13), 2603-2615.
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30 |
Ozhan, B.B. and Pakdemirli, M. (2012), "Principal parametric resonances of a general continuous system with cubic nonlinearities", Appl. Math. Comput., 219, 2412-2423.
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31 |
Ozkaya, E. And Tekin, A. (2007), "Non linear vibrations of stepped beam system under different boundary conditions", Struct. Eng. Mech., 27(3), 333-345
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Ozkaya, E., Bagdatli, S.M. and Oz, H.R. (2008), "Nonlinear transverse vibrations and 3:1 internal resonances of a beam with multiple supports", J. Vib. Acoust., 130, 021013-1-021013-11.
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33 |
Pakdemirli, M. (2015a), "Perturbation-iteration method for strongly nonlinear vibrations", J Vib Control., DOI: 10.1177/1077546315586647.
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34 |
Pakdemirli M. (2015b), "Precession of a planet with the multiple scales Lindstedt-Poincare Technique", Z. Naturforsch., 70, 829-834.
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Pakdemirli, M. (1994) "A comparison of two perturbation methods for vibrations of systems with quadratic and cubic nonlinearities", Mech. Res. Commun., 21, 203-208.
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Pakdemirli, M. (2001), "Vibrations of continuous systems with a general operator notation suitable for perturbative calculations", J. Sound Vib., 246, 841-851.
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Pakdemirli, M. and Boyaci, H. (1995), "Comparison of directperturbation methods with discretization-perturbation methods for nonlinear vibrations", J. Sound Vib., 186, 837-845.
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38 |
Pakdemirli, M. and Karahan, M.M.F. (2010), "A new perturbation solution for systems with strong quadratic and cubic nonlinearities", Math. Meth. Appl. Sci., 33, 704-712.
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Pakdemirli, M. and Sari, G. (2015a), "Solution of quadratic nonlinear problems with multiple scales Lindstedt-Poincare Method" Math. Comput. Appl., 20, 137-150.
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Pakdemirli, M. and Ozkaya, E. (2003), "Three-to-one internal resonances in a general cubic non-linear continuous system", J. Sound Vib., 268, 543-553.
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41 |
Pakdemirli, M. and Sari, G. (2015b), "Perturbation solutions of the quintic Duffing equation with strong nonlinearities", Commun. Numer. Anal., 2015, 82-89.
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42 |
Pakdemirli, M., Karahan, M.M.F. and Boyaci, H. (2009), "A new perturbation algorithm with better convergence properties: Multiple Scales Lindstedt Poincare method", Math. Comput. Appl., 14(1), 31-44.
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Boyaci, H. (2006), "Vibrations of stretched damped beams under non-ideal boundary conditions", Sadhana-Acad. P. Eng. S., 31(1), 1-8.
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