Leissa AW, Vibration of plates
. Acoustical Society of America, Washington DC, 1993.
 Chopra AK, Dynamic of structures, theory and application to earthquake engineering
. Prentice-Hall, New Jersey, 1995.
 Elmas N, Boyaci H, A new perturbation technique in solution of nonlinear differential equations by using variable transformation. Appl Math Comp
, 227 (2014) 422-427.
 El-Naggar AM, Ismail GM, Analytical solution of strongly nonlinear Duffing Oscillators. Alex Engg J
, 55 (2016) 1581-1585.
 Yao S, Cheng Z, The homotopy perturbation method for a nonlinear oscillator with a damping. J Low Freq Noise Vib Active Control
, (2019) DOI: https://doi.org/10.1177/1461348419836344.
 Alam MS, Yeasmin IA, Ahamed MS, Generalization of the modified Lindstedt-Poincare method for solving some strong nonlinear oscillators. Ain Shams Engg J
, 10 (2019) 195-201.
 Suleman M, Wu Q, Comparative solution of nonlinear quintic cubic oscillator using modified homotopy perturbation method. Ad Math Phy
, 5 (2015) 932905.
 Razzak MA, Alam MZ, Sharif MN, Modified multiple time scale method for solving strongly nonlinear damped forced vibration systems. Res Phy
, 8 (2018) 231-238.
 Marinca V, Herisanu N, An optimal iteration method for strongly nonlinear oscillators. J Appl Math
, 11 (2012) 906341.
 Sedighi HM, Shirazi KH, Attarzadeh MA, A study on the quintic nonlinear beam vibrations using asymptotic approximate approaches. Acta Astronaut
, 91 (2013) 245-250.
 Sedighi HM, Shirazi KH, Dynamic pull-in instability of double-sided actuated nano-torsional switches. Acta Mech Solida Sin
, 28(1) (2015) 91-101.
 Akbari M, Ganji DD, Ahmadi A, Kachapi SHH, Analysing the nonlinear vibrational wave differential equation for the simplified model of tower cranes by algebraic method. Front Mech Engg
, 9(1) (2014) 58-70.
 Akbari MR, Nimafar M, Ganji DD, Chalmiani HK, Investigation on non-linear vibration in arched beam for bridges construction via AGM method. Appl Math Comput
, 298 (2017) 95-110.
 Beléndez A, Hernández A, Beléndez T et al, Solutions for conservative nonlinear oscillators using an approximate method based on chebyshev series expansion of the restoring force. Act Phy Pol A
, 130(3) (2016) 667-678.
 Nhat LA, Using differentiation matrices for pseudospectral method solve Duffing Oscillator. J Non Sci Appl
, 11 (2018) 1331-1336.
 Wang Q, Shi X, Li Z, A short remark on Ren-Hu’s modification of He’s frequency-amplitude formulation and the temperature oscillation in a polar bear hair. J Low Freq Noise Vib Active Control
, (2019) DOI: 10.1177/1461348419831478.
 Daeichin M, Ahmadpoor MA, Askari H, Yildirim A, Rational energy balance method to nonlinear oscillators with cubic term. Asian-European J Math
, 6(2) (2013) 1350019.
 Yazdi MK, Tehrani PH, Rational variational approaches to strong nonlinear oscillations. Int J Appl Comp Math
, 3(2) (2017) 757-771.
 Shui X, Wang S, Closed-form numerical formulae for solutions of strongly nonlinear oscillators. Int J Non Mech
, 103 (2018) 12-22.
 Hoang T, Duhamel D, Foret G et al, Frequency dependent iteration method for forced nonlinear oscillators. Appl Math Mod
, 42 (2017) 441-448.
 Javidi M, Iterative methods to nonlinear equations. Appl Math Comput
, 193 (2007) 360-365.
 Razzak MA, A simple new iterative method for solving strongly nonlinear oscillator systems having a rational and an irrational force. Alex Engg J
, 57 (2018) 1099-1107.
 Yazdi MK, Tehrani PH, Frequency analysis of nonlinear oscillations via the global error minimization. Non Engg
, 5(2) (2016) 87-92.
 Mickens RE, A generalization of the method of harmonic balance. J Sound Vib
, 111 (1986) 115-518.
 Chowdhury MSH, Hosen MA, Ali MY, Ismail AF, An analytical technique to obtain higher-order approximate periods for nonlinear oscillator. IIUM Engg J
, 19(2) (2018) 182-191.
 Hosen MA, Chowdhury MSH, A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force. Res Phy
, 5 (2015) 111-114.
 Hosen MA, Rahman MS, Alam MS, Amin MR, An analytical technique for solving a class of strongly nonlinear conservative systems. Appl Math Comput
, 218 (2012) 5474-5486.
 Belendez A, Gimeno E, Alvarez ML et al, A novel rational harmonic balance approach for periodic solutions of conservative nonlinear oscillators. Int J Non Sci Num Sim
, 10(1) (2009) 13-26.
 Akbarzade M, Farshidianfar A, Nonlinear transversely vibrating beams by the improved energy balance method and the global residue harmonic balance method. Appl Math Mod
, 45 (2017) 393-404.
 Rahman MS, Lee YY, New modified multi-level residue harmonic balance method for solving nonlinearly vibrating double-beam problem. J Sound Vib
, 406 (2017) 295-327.
 Younesian D, Esmailzadeh E, Askari H, Vibration analysis of oscillators with generalized inertial and geometrical nonlinearities
. In: Dai L., Jazar R. (eds) Nonlinear Approaches in Engineering Applications. Springer, 2018.
 Sedighi HM, Shirazi KH, Noghrehabadi A, Application of recent powerful analytical approaches on the non-linear vibration of cantilever beams. Int J Nonlinear Sci Numer Simul
, 13(7-8) (2012) 487-494.
 Sedighi HM, Size-dependent dynamic pull-in instability of vibrating electrically actuated microbeams based on the strain gradient elasticity theory. Acta Astronaut
, 95 (2014) 111-123.
 Sedighi HM, Shirazi KH, Vibrations of micro-beams actuated by an electric field via Parameter Expansion Method. Acta Astronaut
, 85 (2013) 19-24.
 Junfeng L, Li M, The VIM-Pade technique for strongly nonlinear oscillators with cubic and harmonic restoring force. J Low Freq Noise Vib Active Control
, (2018) DOI: 10.1177/1461348418813612.
 He JH, Preliminary report on the energy balance for nonlinear oscillations. Mech Res Comm
, 29 (2002) 107-111.
 Hosen MA, Chowdhury MSH, Ali MY, Ismail AF, An analytical approximation technique for the duffing oscillator based on the energy balance method. Italian J Pur Appl Math
, 37 (2017) 455-466.
 Askari H, Saadatnia Z, Esmilzadeh E, Younesian D, Multi-frequency excitation of stiffened triangular plates for large amplitude oscillations. J Sound Vib
, 333 (2014) 5817-5835.
 Molla MHU, Alam MS, Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method. Res Phy
, 7 (2017) 2104-2110.
 Koudahoun LH, Kpomahou YJF, Adjaï DKK, Periodic solutions for nonlinear oscillations in elastic structures via energy balance method
. (2016), http://vixra.org/abs/1611.0214.