1 |
Bayat, M., Bayat, M. and Pakar, I. (2015a), "Analytical study of nonlinear vibration of oscillators with damping", Earthq. Struct., 9(1), 221-232.
DOI
|
2 |
Bayat, M. and Pakar, I. (2015b), "Mathematical solution for nonlinear vibration equations using variational approach", Smart Struct. Syst., 15(5), 1311-1327.
DOI
|
3 |
Bayat, M., Pakar, I. and Domaiirry, G. (2012), "Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: a review", Latin Am. J. Solid. Struct., 9(2), 145-234.
|
4 |
Chen, G. (1987), "Applications of a generalized Galerkin's method to non-linear oscillations of two-degree-of-freedom systems", J. Sound Vib., 119, 225-242.
DOI
|
5 |
Cveticanin, L. (2001), "Vibrations of a coupled two-degree-offreedom system", J. Sound Vib., 247, 279-292.
DOI
|
6 |
Cveticanin, L. (2002). "The motion of a two-mass system with non-linear connection", J. Sound Vib., 252, 361-369.
DOI
|
7 |
HashemiKachapi, S.M. and Ganji, D.D. (2013), Dynamics and Vibrations: Progress in Nonlinear Analysis, Springer 2013.
|
8 |
He, J.H. (1999), "Variational iteration method: a kind of nonlinear analytical technique: some examples", Int. J. Nonlinear Mech., 34(4), 699-708
DOI
|
9 |
He, J.H. (2002), "Preliminary report on the energy balance for nonlinear oscillations", Mech. Res. Commun., 29, 107-111.
DOI
|
10 |
He, J.H. (2010), "Hamiltonian approach to nonlinear oscillators", Phys. Lett. A., 374, 2312-2314.
DOI
|
11 |
Lau, S.L., Cheung, Y.K. and Wu, S.Y. (1983), "Incremental harmonic balance method with multiple time scales for aperiodic vibration of nonlinear systems", J. Appl. Mech. - ASME, 50(4), 871-876.
DOI
|
12 |
Akgoz, B. and Civalek, O. (2011), "Nonlinear vibration analysis of laminated plates resting on nonlinear two-parameters elastic foundations", Steel Compos. Struct., 11(5), 403-421.
DOI
|
13 |
Khavaji, A., Ganji, D.D., Roshan, N., Moheimani, R., Hatami, M. and Hasanpour, A. (2012), "Slope variation effect on large deflection of compliant beam using analytical approach", Struct. Eng. Mech., 44(3), 405-416.
DOI
|
14 |
Lai ,S.K. and Lim, C.W. (2007), "Nonlinear vibration of a twomass system with nonlinearstiffnesses", Nonlinear Dynam., 49, 233-249.
DOI
|
15 |
Masri, S.F. (1972), forced vibration of a class of non-linear twodegree of freedom oscillators", Int. J. Nonlinear Mech., 7, 663-674.
DOI
|
16 |
Mehdipour, I., Ganji, D.D. and Mozaffari, M. (2010),. "Application of the energy balance method to nonlinear vibrating equations", Curr. Appl. Phys., 10(1), 104-112.
DOI
|
17 |
Ozis, T. and Yildirim, A. (2017), "A note on He's homotopy perturbation method for van der Pol oscillator with very strong nonlinearity", Chaos Soliton. Fract., 34(3), 989-991.
DOI
|
18 |
Sedighi, H.M. and Bozorgmehri, A. (2016), "Dynamic instability analysis of doubly clamped cylindrical nanowires in the presence of Casimir attraction and surface effects using modified couple stress theory", Acta Mech., 227(6), 1575-1591.
DOI
|
19 |
Oztur, B. and Coskun, S.B. (2011), "The Homotopy Perturbation Method for free vibration analysis of beam on elastic foundation'', Struct. Eng. Mech., 37(4), 415-425.
DOI
|
20 |
Pakar, I. and Bayat, M. (2015), "Nonlinear vibration of stringer shell: An analytical approach", Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 229(1), 44-51.
DOI
|
21 |
Sedighi, H.M., Koochi, A., Daneshmand, F. and Abadyan, M. (2015), "Non-linear dynamic instability of a double-sided nanobridge considering centrifugal force and rarefied gas flow", Int. J. Nonlinear Mech., 77, 96-106
DOI
|
22 |
Shen, Y.Y. and Mo, L.F. (2009), "The max-min approach to a relativistic equation", Comput. Math. Appl., 58(11), 2131-2133.
DOI
|
23 |
Vakakis, A.F. and Rand, R.H. (2004), "Non-linear dynamics of a system of coupled oscillators with essential stifness nonlinearities", Int. J. Nonlinear Mech., 39, 1079 -1091.
DOI
|
24 |
Wu, G. (2011), "Adomian decomposition method for non-smooth initial value problems", Math. Comput. Model., 54(9-10), 2104-2108.
DOI
|