1 |
Nayfeh, A.H. (1973), Perturbation Methods, Wiley Online Library.
|
2 |
Pakar, I. and Bayat, M. (2011a), "Analytical solution for strongly nonlinear oscillation systems using energy balance method", Int. J. Phy. Sci., 6(22), 5166-5170.
|
3 |
Pakar, I., Bayat, M. and Bayat, M. (2012a), "On the approximate analytical solution for parametrically excited nonlinear oscillators", J. Vibroeng., 14(1), 423-429.
|
4 |
Bayat, M. and Pakar, I. (2011a), "Nonlinear free vibration analysis of tapered beams by Hamiltonian approach", J. Vibroeng., 13(4), 654-661.
|
5 |
Bayat, M. and Pakar, I. (2011b), "Application of He's energy balance method for nonlinear vibration of thin circular sector cylinder", Int. J. Phy. Sci., 6(23), 5564-5570.
|
6 |
Bayat, M., Pakar, I. and Shahidi, M. (2011c), "Analysis of nonlinear vibration of coupled systems with cubic nonlinearity", Mechanika, 17(6), 620-629.
|
7 |
Bayat, M., Pakar, I. and Domaiirry, G. (2012a), "Recent developments of Some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: A review", Lat. Am. J. Solid. Struct., 9(2),145-234.
|
8 |
Bayat, M. and Pakar, I. (2012b), "Accurate analytical solution for nonlinear free vibration of beams", Struct. Eng. Mech., 43(3), 337-347.
DOI
ScienceOn
|
9 |
Bayat, M., Pakar, I. and Bayat, M. (2013a), "Analytical solution for nonlinear vibration of an eccentrically reinforced cylindrical shell", Steel Compos. Struct., 14(5), 511-521.
DOI
ScienceOn
|
10 |
Bayat, M. and Pakar, I. (2013b), "Nonlinear dynamics of two degree of freedom systems with linear and nonlinear stiffnesses", Earthq. Eng. Eng. Vib., 12(3), 411-420.
DOI
|
11 |
Pakar, I. and Bayat, M. (2012b), "Analytical study on the non-linear vibration of Euler-Bernoulli beams", J. Vibroeng., 14(1), 216-224.
|
12 |
Pakar, I. and Bayat, M. (2013a), "An analytical study of nonlinear vibrations of buckled Euler Bernoulli beams", Acta Physica Polonica A, 123(1), 48-52.
DOI
|
13 |
Pirbodaghi, T. and Hoseini, S. (2010), "Nonlinear free vibration of a symmetrically conservative two-mass system with cubic nonlinearity", J. Comput. Nonlin. Dyn., 5(1), 011006.
|
14 |
Ren, Z.F. and Gui, W.K. (2011), "He's frequency formulation for nonlinear oscillators using a golden mean location", Comput. Math. Appl., 61(8), 1987-1990.
DOI
ScienceOn
|
15 |
Wazwaz, A.M. (2007), "The variational iteration method: a powerful scheme for handling linear and nonlinear diffusion equations", Comput. Math. Appl., 54(7-8), 933-939.
DOI
ScienceOn
|
16 |
Bayat, M. and Pakar, I. (2013c), "On the approximate analytical solution to non-linear oscillation systems", Shock Vib., 20(1), 43-52.
DOI
|
17 |
Bayat, M., Pakar, I. and Cveticanin, L. (2014a), "Nonlinear free vibration of systems with inertia and static type cubic nonlinearities: an analytical approach", Mech. Mach. Theor., 77, 50-58.
DOI
ScienceOn
|
18 |
Bayat, M., Bayat, M. and Pakar, I. (2014c), "Nonlinear vibration of an electrostatically actuated microbeam", Lat. Am. J. Solid. Struct., 11(3), 534-544.
DOI
|
19 |
Zeng, D.Q. (2009), "Nonlinear oscillator with discontinuity by the max-min approach", Chaos, Soliton. Fract., 42(5), 2885-2889.
DOI
ScienceOn
|
20 |
Bayat, M., Pakar, I. and Cveticanin, L.(2014b), "Nonlinear vibration of stringer shell by means of extended Hamiltonian approach", Arch. Appl. Mech., 84(1), 43-50.
DOI
ScienceOn
|
21 |
Belendez, A., Hernandez, A., Belendez, T., Neipp, C. and Marquez, A. (2008), "Higher accuracy analytical approximations to a nonlinear oscillator with discontinuity by He's homotopy perturbation method", Phys. Let. A, 372(12), 2010-2016.
DOI
ScienceOn
|
22 |
Fu, Y., Zhang, J. and Wan, L. (2011), "Application of the energy balance method to a nonlinear oscillator arising in the microelectromechanical system (MEMS)", Cur. Appl. Phys., 11(3), 482-485.
DOI
ScienceOn
|
23 |
Ganji, D.D., Gorji, M., Soleimani, S. and Esmaeilpour, M. (2009), "Solution of nonlinear cubic-quintic Duffing oscillators using He's Energy Balance Method", J. Zhejiang Univ.-Sci. A, 10(9), 1263-1268.
DOI
|
24 |
He, J.H. (2002), "Preliminary report on the energy balance for nonlinear oscillations", Mech. Res. Commun., 29(2-3), 107-111.
DOI
ScienceOn
|
25 |
He, J.H. (2010), "Hamiltonian approach to nonlinear oscillators", Phys. Let. A, 374(23), 2312-2314.
DOI
ScienceOn
|
26 |
Kaya, M. and Demirbag, S.A. (2009), "Application of parameter expansion method to the generalized nonlinear discontinuity equation", Chaos, Soliton. Fract., 42(4), 967-197.
|
27 |
Shou, D.H. (2009), "The homotopy perturbation method for nonlinear oscillators", Comput. Math. Appl., 58(11-12), 2456-2459.
DOI
ScienceOn
|
28 |
Pakar, I. and Bayat, M. (2013b), "Vibration analysis of high nonlinear oscillators using accurate approximate methods", Struct. Eng. Mech., 46(1), 137-151.
DOI
ScienceOn
|