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Arikoglu, A. and Ozkol, I. (2005), "Solution of boundary value problems for integro-differential equations by using transform method", Appl. Math. Comput., 168, 1145-1158.
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2 |
Bayat, M. and Abdollahzadeh, G. (2011), "On the effect of the near field records on the steel braced frames equipped with energy dissipating devices", Latin Am. J. Solid. Struct., 8(4), 429-443.
DOI
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3 |
Bayat, M. and Pakar, I, (2011), "Nonlinear free vibration analysis of tapered beams by Hamiltonian approach", J. Vibroeng., 13(4), 654-661.
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4 |
Bayat, M. and Pakar, I, (2012), "Accurate analytical solution for nonlinear free vibration of beams", Struct. Eng. Mech., 43(3), 337-347.
DOI
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5 |
Bayat, M. and Pakar, I, (2013), "Vibration analysis of high nonlinear oscillators using accurate approximate methods", Struct. Eng. Mech., 46(1), 137-151.
DOI
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6 |
Bayat, M. and Pakar, I, (2015), "Mathematical solution for nonlinear vibration equations using variational approach", Smart Struct. Syst., 15(5), 1311-1327.
DOI
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7 |
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
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8 |
Bayat, M., Pakar, I. and Bayat, M. (2013b), "On the large amplitude free vibrations of axially loaded Euler-Bernoulli beams", Steel Compos. Struct., 14(1), 73-83.
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9 |
Bayat, M., Pakar, I. and Bayat, M. (2016a), "Nonlinear vibration of conservative oscillator's using analytical approaches", Struct. Eng. Mech., 59(4), 671-682.
DOI
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10 |
Bayat, M., Pakar, I. and Bayat, M. (2014), "Nonlinear vibration of an electrostatically actuated microbeam", Latin Am. J. Solid. Struct., 11(3), 534-544.
DOI
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11 |
Bayat, M., Pakar, I. and Bayat, M. (2016b), "High conservative nonlinear vibration equations by means of energy balance method", Earthq. Struct., 11(1), 129-140.
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12 |
Cveticanin, L. (2012), "A review on dynamics of mass variable systems", J. Serbian Soc. Comput. Mech., 6(1), 56-73.
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Cveticanin, L. (2015), "A solution procedure based on the Ateb function for a two-degree-of-freedom oscillator", J. Sound Vib., 346, 298-313.
DOI
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14 |
Edalati, S.A., Bayat, M., Pakar, I. and Bayat, M. (2016), "A novel approximate solution for nonlinear problems of vibratory systems", Struct. Eng. Mech., 57(6), 1039-1049.
DOI
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15 |
He J.H. (2008), "An improved amplitude-frequency formulation for nonlinear oscillators", Int. J. Nonlin. Scie. Numer. Simul., 9(2), 211-212.
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16 |
Luo, X.G. (2005), "A two-step Adomian decomposition method", Appl. Math. Comput., 170, 570-583.
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17 |
He J.H. (2010), "Hamiltonian approach to nonlinear oscillators", Phys. Lett. A., 374(23), 2312-2314.
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18 |
Jamshidi, N. and Ganji, D.D. (2010), "Application of energy balance method and variational iteration method to an oscillation of a mass attached to a stretched elastic wire", Curr. Appl. Phys., 10, 484-486.
DOI
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19 |
Kutanaei, SS., Ghasemi, E. and Bayat, M. (2011), "Mesh-free modeling of two-dimensional heat conduction between eccentric circular cylinders", Int. J. Phys. Sci., 6(16), 4044-4052.
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20 |
Ramana, P.V. and Raghu Prasad, B.K. (2014), "Modified adomian decomposition method for van der Pol equations", Int. J. Nonlin. Mech., 65, 121-132.
DOI
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21 |
Shen, Y.Y. and Mo, L.F. (2009), "The max-min approach to a relativistic equation", Comput. Math. Appl., 58(11), 2131-2133.
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22 |
Xu, L. (2010), "Application of Hamiltonian approach to an oscillation of a mass attached to a stretched elastic wire", Math. Comput. Appl., 15(5), 901-906.
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