참고문헌
- 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. https://doi.org/10.12989/scs.2011.11.5.403
- 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. https://doi.org/10.12989/scs.2011.11.6.489
- Bayat, M. and Pakar, I. (2013a), "On the approximate analytical solution to non-linear oscillation systems", Shock Vib., 20(1), 43-52. https://doi.org/10.1155/2013/549213
- Bayat, M. and Pakar, I. (2012a), "Accurate analytical solution for nonlinear free vibration of beams", Struct. Eng. Mech., 43(3), 337-347. https://doi.org/10.12989/sem.2012.43.3.337
- 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.
- Bayat, M., Pakar, I. and Cveticanin, L. (2014d), "Nonlinear free vibration of systems with inertia and static type cubic nonlinearities : an analytical approach", Mech. Mach. Theory., 77, 50-58. https://doi.org/10.1016/j.mechmachtheory.2014.02.009
- 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. https://doi.org/10.1007/s00419-013-0781-2
- 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. https://doi.org/10.1007/s11803-013-0182-0
- 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. https://doi.org/10.12989/scs.2013.14.5.511
- 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. https://doi.org/10.1590/S1679-78252011000400004
- Bayat, M., Bayat, M. and Pakar, I. (2014f), "Nonlinear vibration of an electrostatically actuated microbeam", Latin Am. J. Solid. Struct., 11(3), 534-544. https://doi.org/10.1590/S1679-78252014000300009
- 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. https://doi.org/10.12989/scs.2014.17.1.123
- 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 https://doi.org/10.12989/sem.2014.50.6.853
- Bayat, M., Bayat, M. and Pakar, I. (2014g), "Accurate analytical solutions for nonlinear oscillators with discontinuous", Struct. Eng. Mech., 51(2), 349-360 https://doi.org/10.12989/sem.2014.51.2.349
- 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 https://doi.org/10.12989/scs.2013.14.1.073
- Bayat, M., Pakar, I. and Bayat, M. (2014b), "An accurate novel method for solving nonlinear mechanical systems", Struct. Eng. Mech., 51(3), 519-530. https://doi.org/10.12989/sem.2014.51.3.519
- 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. https://doi.org/10.12989/sem.2013.48.6.823
- Bararnia, H., Domairry, G., Gorji, M. and Rezania, A. (2010), "An approximation of the analytic solution of some nonlinear heat transfer in fin and 3D diffusion equations using HAM", Numer. Meth. Part. Differ. Eq., 26(1), 1-13. https://doi.org/10.1002/num.20404
- 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. https://doi.org/10.1016/j.na.2008.02.056
- Cai, X.C. and Liu, J.F. (2011), "Application of the modified frequency formulation to a nonlinear oscillator", Comput. Math. Appl., 61(8), 2237-2240. https://doi.org/10.1016/j.camwa.2010.09.025
- Chen, S.S. (2009), "Application of the differential transformation method to the free vibrations of strongly non-linear oscillators", Nonlin. Anal. Real World Appl., 10(2), 881-888. https://doi.org/10.1016/j.nonrwa.2005.06.010
- Cordero, A., Hueso, J.L., Martinez, E. and Torregros, J.R. (2010), "Iterative methods for use with nonlinear discrete algebraic models", Math. Comput. Model., 52(7-8), 1251-1257. https://doi.org/10.1016/j.mcm.2010.02.028
- 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. https://doi.org/10.12989/sem.2014.51.1.111
- 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 Solit. Fract., 36(1), 157-166. https://doi.org/10.1016/j.chaos.2006.06.023
- Filobello-Nino, U., Vazquez-Leal, H., Benhammouda, B., Perez-Sesma, A., Jimenez-Fernandez, V., Cervantes-Perez, J., Sarmiento-Reyes, A., Huerta-Chua, J., Morales-Mendoza, L. and Gonzalez-Lee, M. (2015), "Analytical solutions for systems of singular partial differential-algebraic equations", Discrete Dyn. Nature Soc., Article ID 752523.
- Ganji, D., Nourollahi, M. and Rostamian, M. (2007), "A comparison of variational iteration method with Adomian's decomposition method in some highly nonlinear equations", Int. J. Sci. Tech., 2(2), 179-188.
- He, J.H. (2007), "Variational approach for nonlinear oscillators", Chaos Solit. Fract., 34(5), 1430-1439. https://doi.org/10.1016/j.chaos.2006.10.026
- He, J.H. (2010), "Hamiltonian approach to nonlinear oscillators", Phys. Lett. A, 374(23), 2312-2314. https://doi.org/10.1016/j.physleta.2010.03.064
- He, J.H. (2008), "An improved amplitude-frequency formulation for nonlinear oscillators", Int. J. Nonlin. Sci. Numer. Simul., 9(2), 211-212.
- 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. https://doi.org/10.1016/j.cap.2009.07.004
- 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. https://doi.org/10.1016/j.cap.2009.05.016
- 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.
- Pakar, I. and Bayat, M. (2013), "Vibration analysis of high nonlinear oscillators using accurate approximate methods", Struct. Eng. Mech., 46(1), 137-151. https://doi.org/10.12989/sem.2013.46.1.137
- 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.
- 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. https://doi.org/10.12989/scs.2014.17.1.133
- 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 https://doi.org/10.12989/scs.2014.16.5.521
- Radomirovic, D. and Kovacic, I. (2015), "An equivalent spring for nonlinear springs in series", Eur. J. Phys., 36(5), 055004. https://doi.org/10.1088/0143-0807/36/5/055004
- Rajasekaran, S. (2013), "Free vibration of tapered arches made of axially functionally graded materials", Struct. Eng. Mech., 45(4), 569-594. https://doi.org/10.12989/sem.2013.45.4.569
- Sadighi, A. and Ganji, D. (2008), "Analytic treatment of linear and nonlinear Schrodinger equations: a study with homotopy-perturbation and Adomian decomposition methods", Phys. Lett. A, 372(4), 465-469. https://doi.org/10.1016/j.physleta.2007.07.065
- 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.
- Shen, Y.Y. and Mo, L.F. (2009), "The max-min approach to a relativistic equation", Comput. Math. Appl., 58(11), 2131-2133. https://doi.org/10.1016/j.camwa.2009.03.056
- Wu, G. (2011), "Adomian decomposition method for non-smooth initial value problems", Math. Comput. Model., 54(9-10), 2104-2108. https://doi.org/10.1016/j.mcm.2011.05.018
- 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.
- Xu, N. and Zhang, A. (2009), "Variational approachnext term to analyzing catalytic reactions in short monoliths", Comput. Math. Appl., 58(11-12), 2460-2463. https://doi.org/10.1016/j.camwa.2009.03.035
- 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. https://doi.org/10.1017/jmech.2014.97
- 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.
- 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. https://doi.org/10.12989/sem.2013.48.5.697
피인용 문헌
- Effect of granulated rubber on shear strength of fine-grained sand vol.9, pp.5, 2017, https://doi.org/10.1016/j.jrmge.2017.03.008
- Prediction of Liquefaction Potential of Sandy Soil around a Submarine Pipeline under Earthquake Loading vol.10, pp.2, 2019, https://doi.org/10.1061/(ASCE)PS.1949-1204.0000349
- Modeling of compressive strength of cemented sandy soil pp.1568-5616, 2019, https://doi.org/10.1080/01694243.2018.1548535
- Shear behavior of fiber-reinforced sand composite vol.12, pp.5, 2019, https://doi.org/10.1007/s12517-019-4326-z
- Accurate semi-analytical solution for nonlinear vibration of conservative mechanical problems vol.61, pp.5, 2016, https://doi.org/10.12989/sem.2017.61.5.657
- Numerical study of the hydraulic excavator overturning stability during performing lifting operations vol.11, pp.5, 2016, https://doi.org/10.1177/1687814019841779
- Investigation of the deformability properties of fiber reinforced cemented sand vol.33, pp.17, 2016, https://doi.org/10.1080/01694243.2019.1619224