[1] Ghadimi, M., Kaliji, H. D., Barari, A., “Analytical solutions to nonlinear mechanical oscillation problems”, Journal of Vibroengineering, Vol. 13, No. 2, pp. 133-143, 2011.
[2] Fidlin, A., Nonlinear Oscillations in Mechanical Engineering, Springer-Verlag, Berlin Heidelberg, 2006.
[3] Mickens, R.E., Oscillations in planar Dynamics Systems, World Scientific, Singapore, 1996.
[4] He, J. H., Non-perturbative methods for strongly nonlinear problems, Disseration, de-Verlag in Internet GmbH, Berlin, 2006.
[5] Junfeng, Lu., “An analytical approach to the Fornberg–Whitham type equations by using the variational iteration method”, Computers and Mathematics with Applications, Vol. 61, pp. 2010-2013, 2011.
[6] Nawaz, Yasir., “Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations”, Computers and Mathematics with Applications, Vol. 61, pp. 2330-2341, 2011.
[7] Moghimia, S.M., Ganji, D.D., Bararnia, H., Hosseini, M., Jalaal, M., “Homotopy perturbation method for nonlinear MHD Jeffery–Hamel Problem”, Computers and Mathematics with Applications, Vol. 61, pp. 2213-2216, 2011.
[8] Ghotbi, Abdoul. R., Bararnia, H., Domairry, G., Barari, A., “Investigation of a powerful analytical method into natural convection boundary layer flow”, Commun Nonlinear Sci Numer Simulat, Vol. 14, pp. 2222-2228, 2009.
[9] Sohouli, A.R., Famouri, M., Kimiaeifar, A., Domairry, G., “Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in pours media prescribed surface heat flux”, Commun Nonlinear Sci Numer Simulat, Vol. 15, pp. 1691-1699, 2010.
[10] Fereidoon, A., Ganji, D.D., Kaliji, H.D., Ghadimi, M., “Analytical solution for vibration of buckled beams”, International Journal of Research and Reviews in Applied Sciences. Vol. 4, No. 3, pp. 17-21, 2010.
[11] Farrokhzad, F., Mowlaee, P., Barari, A., Choobbasti, A.J., Kaliji, H.D., “Analytical investigation of beam deformation equation using perturbation, homotopy perturbation, variational iteration and optimal homotopy asymptotic methods”, Carpathian Journal of Mathematics, Vol. 27, No. 1, pp. 51-63, 2011.
[12] Guo, Shimin, Mei, Liquan, “The fractional variational iteration method using He’s polynomials”, Physics Letters A, Vol. 375, pp. 309–313, 2011.
[13] Biazar, Jafar., Gholami Porshokouhi, Mehdi., Ghanbari, Behzad., Gholami Porshokouhi, Mohammad., “Numerical solution of functional integral equations by the variational iteration method”, Journal of Computational and Applied Mathematics, Vol. 235, pp. 2581-2585, 2011.
[14] Xu, Lan, “He's parameter-expanding methods for strongly nonlinear oscillators”, Journal of Computational and Applied Mathematics, Vol. 207, pp. 148-154, 2007.
[15] Barari, A., Kaliji, H.D., Ghadimi, M., Domairry, G., “Non-linear vibration of Euler-Bernoulli beams”, Latin American Journal of Solids and Structures, Vol. 8, pp. 139-148, 2011.
[16] He, J.H., “Some asymptotic methods for strongly nonlinear equations”, International Journal of Modern Physics B, Vol. 20, pp. 1141-1199, 2006.
[17] Mashinchi Joubari, M., Asghari, R., “Analytical Solution for Nonlinear Vibration of Micro-Electro-mechanical System (MEMS) by Frequency-Amplitude Formulation Method”, The Journal of Mathematics and Computer Science, Vol. 4, No.3, pp. 371-379, 2012.
[18] He, J.H., “Max–Min approach to nonlinear oscillators”, Int. J. Nonlinear Sci. Numer. Simul, Vol. 9, No. 2, pp. 207-210, 2008.
[19] Belendez, A., Gimeno, E., Fernandez, E., Mendez, D.I., Alvarez, M.L., “Accurate approximate solution to nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable”, Physica Scripta, Vol. 77, No. 6, 2008.
[20] Belendez, A., Mendez, D.I., Belendez, T., Hernandez, A., Alvarez, M.L., “Harmonic balance approaches to the nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable”, Journal of Sound and Vibration, Vol. 314, pp. 775-782, 2008.
[21] Belendez, A., Pascual, C., “Harmonic balance approach to the periodic solutions of the (an)harmonic relativistic oscillator”, Physics Letters A, Vol. 371, pp. 291-299, 2007.
[22] Hu, H., Tang, J.H., “Solution of a Duffing-harmonic oscillator by the method of harmonic balance”, Journal of Sound and Vibration, Vol. 294, pp. 637-639, 2006.
[23] Mickens, R.E., “Harmonic balance and iteration calculations of periodic solutions to ”, Journal of Sound and Vibration, Vol. 306, pp. 968-972, 2007.
[24] Wu, B.S., Sun, W.P., Lim, C.W., “An analytical approximate technique for a class of strongly non-linear oscillators”, International Journal of Non-Linear Mechanics, Vol. 41, pp. 766-774, 2006.
[25] Lai, S.K., Lim, C.W., Wu, B.S., Wang, C., Zeng, Q.C., He, X.F., “Newton–harmonic balancing approach for accurate solutions to nonlinear cubic–quintic Duffing oscillators”, Applied Mathematical Modelling, Vol. 33, pp. 852-866, 2009.
[26] Mashinchi Joubari, M., Asghari, R., Zareian Jahromy, M., “Investigation of the Dynamic Behavior of Periodic Systems with Newton Harmonic Balance Method”, Journal of Mathematics and Computer Science, Vol. 4, No. 3, pp. 418-427, 2012.
[27] Mirzabeigy, A., Kalami Yazdi, M., Yildirim, A., “Analytical approximations for a conservative nonlinear singular oscillator in plasma physics”, Journal of the Egyptian Mathematical Society, Vol. 20, No. 3, pp. 163-166, 2012.