Nonlinear Response of Strong Nonlinear System Arisen in Polymer Cushion

نویسندگان

  • Li-xin Lu
  • Huan-xin Jiang
  • Yong Zhu
  • Lan Xu
چکیده

and Applied Analysis3[6] J.-H. He, “Variational iteration method—a kind of non-linearanalytical technique: some examples,” International Journal ofNon-Linear Mechanics, vol. 34, no. 4, pp. 699–708, 1999.[7] J.-H. He, “Variational iteration method-Some recent resultsand new interpretations,” Journal of Computational and AppliedMathematics, vol. 207, no. 1, pp. 3–17, 2007.[8] J.-H. He and X. H. Wu, “Variational iteration method: newdevelopment and applications,” Computers and Mathematicswith Applications, vol. 54, no. 7-8, pp. 881–894, 2007.[9] J.-H. He, “Some asymptotic methods for strongly nonlinearequations,” International Journal of Modern Physics B, vol. 20,no. 10, pp. 1141–1199, 2006.[10] G.-C.Wu, “Laplace transform overcoming principal drawbacksin application of the variational iteration method to fractionalheat equations,” Thermal Science, vol. 6, no. 4, pp. 1257–1261,2012.[11] J.-H. He, “Asymptotic methods for solitary solutions and com-pactons,” Abstract and Applied Analysis, vol. 2012, Article ID916793, 130 pages, 2012.[12] J.-H. He, “An elementary introduction to recently developedasymptotic methods and nanomechanics in textile engineer-ing,” International Journal of Modern Physics B, vol. 22, no. 21,pp. 3487–3578, 2008.[13] J.-H. He, “Notes on the optimal variational iteration method,”Applied Mathematics Letters, vol. 25, no. 10, pp. 1579–1581, 2012.[14] J. Singh, P. K. Gupta, and K. Nath Rai, “Variational iterationmethod to solve moving boundary problem with temperaturedependent physical properties,” Thermal Science, vol. 15, sup-plement 2, pp. S229–S239, 2011.[15] J.Wang, Y. Khan, R.H. Yang, L. X. Lu, Z.W.Wang, andN. Faraz,“A mathematical modelling of inner-resonance of tangent non-linear cushioning packaging system with critical components,”Mathematical and Computer Modelling, vol. 54, no. 11-12, pp.2573–2576, 2011.[16] S. T.Mohyud-Din,M. A. Noor, and K. I. Noor, “Variational iter-ationmethod for Burgers’ and coupled Burgers’ equations usingHe’s polynomials,” Zeitschrift für Naturforschung Section A, vol.65, no. 4, pp. 263–267, 2010.[17] L.N. Zhang and J.-H.He, “Resonance in Sirospun yarn spinningusing a variational iteration method,” Computers and Mathe-matics with Applications, vol. 54, no. 7-8, pp. 1064–1066, 2007.[18] L. Xu, “Dynamics of two-strand yarn spinning in forced vibra-tion,”Nonlinear Analysis,Theory,Methods and Applications, vol.71, no. 12, pp. e827–e829, 2009.[19] D. H. Shou, “He’s variational iteration method for two-strandyarn spinning,” Nonlinear Analysis: Theory, Methods and Appli-cations, vol. 71, no. 12, pp. e830–e833, 2009.[20] R. H. Yang and S. Y. Wang, “Resonance in a rotor-spun com-posite yarn spinning process obtained using the variational iter-ation method,” Computers and Mathematics with Applications,vol. 58, no. 11-12, pp. 2486–2488, 2009. Submit your manuscripts athttp://www.hindawi.com Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2014MathematicsJournal ofHindawi Publishing Corporationhttp://www.hindawi.comVolume 2014Mathematical Problemsin Engineering Hindawi Publishing Corporationhttp://www.hindawi.comDifferential EquationsInternational Journal of

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تاریخ انتشار 2014