1 |
Andrianov, I.V., Awrejcewicz, J. and Manevitch, L.I. (2004), Asymptotical Mechanics of thin-walled Structures, Springer - Verlag Berlin Heidelberg, Germany.
|
2 |
Atmane, H.A., Tounsi, A., Ziane, N. and Mechab, I. (2011), "Mathematical solution for free vibration of sigmoid functionally graded beams with varying cross-section", Steel Compos. Struct., 11(6), 489-504.
DOI
|
3 |
Bayat, M. and Pakar, I. (2013a), "On the approximate analytical solution to non-linear oscillation systems", Shock Vib., 20(1), 43-52.
DOI
|
4 |
Bayat, M. and Pakar, I. (2012a), "Accurate analytical solution for nonlinear free vibration of beams", Struct. Eng. Mech., 43(3), 337-347.
DOI
|
5 |
Bayat, M., Pakar, I. and Domaiirry, G. (2012b), "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 .
|
6 |
Bayat, M., Pakar, I. and Cveticanin, L. (2014d), "Nonlinear free vibration of systems with inertia and static type cubic nonlinearities : an analytical approach", Mechanism Machine Theory, 77, 50-58.
DOI
|
7 |
Bayat, M., Pakar, I. and Cveticanin, L. (2014e), "Nonlinear vibration of stringer shell by means of extended Hamiltonian approach", Arch. Appl. Mech., 84(1), 43-50.
DOI
|
8 |
Bayat, M. and Pakar, I. (2013c), "Nonlinear dynamics of two degree of freedom systems with linear and nonlinear stiffnesses", Earthq. Eng. Eng. Vib., 12(3), 411-420.
DOI
|
9 |
Bayat, M., Pakar, I. and Bayat, M. (2013b), "Analytical solution for nonlinear vibration of an eccentrically reinforced cylindrical shell", Steel Compos. Struct., 14(5), 511-521.
DOI
|
10 |
Bayat, M. and Abdollahzadeh, G. (2011a), "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
|
11 |
Bayat, M. and Abdollahzadeh, G. (2011b), "Analysis of the steel braced frames equipped with ADAS devices under the far field records", Latin Am. J. Solid. Struct., 8(2), 163-181.
DOI
|
12 |
Bayat, M., Bayat, M. and Pakar, I. (2014f), "Nonlinear vibration of an electrostatically actuated microbeam", Latin Am. J. Solid. Struct., 11(3), 534-544.
DOI
|
13 |
Bayat, M., Bayat, M. and Pakar, I. (2014a), "The analytic solution for parametrically excited oscillators of complex variable in nonlinear dynamic systems under harmonic loading", Steel Compos. Struct., 17(1), 123-131.
DOI
|
14 |
Bayat, M., Bayat, M. and Pakar, I. (2014c), "Forced nonlinear vibration by means of two approximate analytical solutions", Struct. Eng. Mech., 50(6), 853-862.
DOI
|
15 |
Bayat, M., Bayat, M. and Pakar, I. (2014g), "Accurate analytical solutions for nonlinear oscillators with discontinuous", Struct. Eng. Mech., 51(2), 349-360.
DOI
|
16 |
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.
DOI
|
17 |
Bayat, M., Pakar, I. and Bayat, M. (2014b), "An accurate novel method for solving nonlinear mechanical systems", Struct. Eng. Mech., 51(3), 519-530.
DOI
|
18 |
Bayat, M., Pakar, I. and Emadi, A. (2013a), "Vibration of electrostatically actuated microbeam by means of homotopy perturbation method", Struct. Eng. Mech., 48(6), 823-831.
DOI
|
19 |
Cunedioglu ,Y. and Beylergil, B. (2014), "Free vibration analysis of laminated composite beam under room and high temperatures", Struct. Eng. Mech., 51(1), 111-130.
DOI
|
20 |
Bor-Lih, K. and Cheng-Ying, L. (2009), "Application of the differential transformation method to the solution of a damped system with high nonlinearity", Nonlin. Anal., 70(4), 1732-1737.
DOI
|
21 |
Cveticanin, L. (2012), "A review on dynamics of mass variable systems", J. Serbian Soc. Comput. Mech., 6(1), 56-74.
|
22 |
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
|
23 |
Dehghan, M. and Tatari, M. (2008), "Identifying an unknown function in a parabolic equation with over specified data via He's variational iteration method", Chaos, Soliton. Fract., 36(1), 157-166.
DOI
|
24 |
Evakin, A.Yu. and Kalamkarov, A. (2001), "Analysis of large deflection equilibrium state of composite shells of revolution. Part 1. General model and singular perturbation analysis", Int. J. Solid. Struct., 38(50- 51), 8961-8974.
DOI
|
25 |
Filippov, S.B. (1999), Theory of conjugated and reinforced shells, St. Petersburg state university. (in Russian)
|
26 |
Filobello-Nino, U.H., Vazquez-Leal, B., Benhammouda, A., Perez-Sesma, V., Jimenez-Fernandez, J., Cervantes-Perez, A., Sarmiento-Reyes, J., Huerta-Chua, L., Morales-Mendoza and M., Gonzalez-Lee (2015), "Analytical solutions for systems of singular partial differential-algebraic equations", Discrete Dyn. Nat. Soc., Article ID 752523, 9 pages.
|
27 |
Grigolyuk, E.I. and Kabanov, V.V. (1987), Stability of shells, Nauka, Moscow. (in Russian)
|
28 |
He, J.H. (2002), "Preliminary report on the energy balance for nonlinear oscillations", Mech. Res. Commun., 29(2-3), 107-111.
DOI
|
29 |
Han, S. (1965), "On the free vibration of a beams on a nonlinear elastic foundation", Trans. ASME J. Appl. Mech., 32(2), 445-447.
DOI
|
30 |
He, J.H. (2007), "Variational approach for nonlinear oscillators", Chaos, Solitons Fract., 34(5), 1430-1439.
DOI
|
31 |
He, J.H. (2010), "Hamiltonian approach to nonlinear oscillators", Phys. Lett. A, 374(23), 2312-2314.
DOI
|
32 |
He, J.H. (2008), "An improved amplitude-frequency formulation for nonlinear oscillators", Int. J. Nonlin. Sci. Numer. Simul., 9(2), 211-212.
|
33 |
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(2), 484-486.
DOI
|
34 |
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
|
35 |
Nayfeh.A.H. (1973), Perturbation methods, volume 6, Wiley Online Library.
|
36 |
Odibat, Z., Momani, S. and Suat Erturk, V. (2008), "Generalized differential transform method: application to differential equations of fractional order", Appl. Math. Comput., 197(2), 467-477.
|
37 |
Pakar, I. and Bayat, M. (2013a), "Vibration analysis of high nonlinear oscillators using accurate approximate methods", Struct. Eng. Mech., 46(1), 137-151.
DOI
|
38 |
Pakar, I. and Bayat, M. (2013b), "An analytical study of nonlinear vibrations of buckled Euler Bernoulli beams", Acta Physica Polonica A, 123(1), 48-52.
DOI
|
39 |
Pakar, I., Bayat, M. and Bayat, M. (2014a), "Nonlinear vibration of thin circular sector cylinder: An analytical approach", Steel Compos. Struct., 17(1), 133-143.
DOI
|
40 |
Pakar, I., Bayat, M. and Bayat, M. (2011), "Analytical evaluation of the nonlinear vibration of a solid circular sector object", Int. J. Phys. Sci., 6(30), 6861-6866.
|
41 |
Pakar, I., Bayat, M. and Bayat, M. (2014b), "Accurate periodic solution for nonlinear vibration of thick circular sector slab", Steel Compos. Struct., 16(5), 521-531.
DOI
|
42 |
Radomirovic, D. and Kovacic, I. (2015), "An equivalent spring for nonlinear springs in series", Eur. J. Phys., 36(5), 055004.
DOI
|
43 |
Rajasekaran, S. (2013), "Free vibration of tapered arches made of axially functionally graded materials", Struct. Eng. Mech., 45(4), 569-594.
DOI
|
44 |
Shahidi, M., Bayat, M., Pakar, I. and Abdollahzadeh, G.R. (2011), "Solution of free non-linear vibration of beams", Int. J. Phys. Sci., 6(7), 1628-1634.
|
45 |
Shen, Y.Y. and Mo, L.F. (2009), "The max-min approach to a relativistic equation", Comput. Math. Appl., 58(11), 2131-2133.
DOI
|
46 |
Wu, G. (2011), "Adomian decomposition method for non-smooth initial value problems", Math. Comput. Model., 54(9-10), 2104-2108.
DOI
|
47 |
Xu, L. (2010), "Application of Hamiltonian approach to an oscillation of a mass attached to a stretched elastic wire", Comput. Math. Appl., 15(5), 901-906.
|
48 |
Xu, Nan and Zhang, A. (2009), "Variational approachnext term to analyzing catalytic reactions in short monoliths", Comput. Math. Appl., 58(11-12), 2460-2463.
DOI
|
49 |
Zeng, D.Q. and Lee, Y.Y. (2009), "Analysis of strongly nonlinear oscillator using the max-min approach", Int. J. Nonlin. Sci. Numer. Simul., 10(10), 1361-1368.
|
50 |
Xu, R., Li, D.-X., Jiang, J.-P. and Liu, W. (2015), "Nonlinear vibration analysis of membrane SAR antenna structure adopting a vector form intrinsic finite element", J. Mech., 31(3), 269-277.
DOI
|
51 |
Zhifeng, L., Yunyao, Y., Feng, W., Yongsheng, Z. and Ligang, C. (2013), "Study on modified differential transform method for free vibration analysis of uniform Euler-Bernoulli beam", Struct. Eng. Mech., 48(5): 697-709.
DOI
|
52 |
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
|