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Mathematical Problems in Engineering
Volume 2013, Article ID 382509, 4 pages
http://dx.doi.org/10.1155/2013/382509
Research Article

He’s Max-Min Approach for Coupled Cubic Nonlinear Equations Arising in Packaging System

1Department of Packaging Engineering, Jiangnan University, Wuxi 214122, China
2Key Laboratory of Food Packaging Techniques & Safety of China National Packaging Corporation, Jiangnan University, Wuxi 214122, China

Received 10 March 2013; Accepted 29 March 2013

Academic Editor: Mufid Abudiab

Copyright © 2013 Jun Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. H. Nayfeh, Perturbation Methods, Wiley-VCH, Weinheim, Germany, 2007.
  2. J.-H. He, “Some asymptotic methods for strongly nonlinear equations,” International Journal of Modern Physics B, vol. 20, no. 10, pp. 1141–1199, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. J. H. He, “Max-min approach to nonlinear oscillators,” International Journal of Nonlinear Sciences and Numerical Simulation, vol. 9, no. 2, pp. 207–210, 2008. View at Google Scholar · View at Scopus
  4. R. Azami, D. D. Ganji, H. Babazadeh, A. G. Dvavodi, and S. S. Ganji, “He's max-min method for the relativistic oscillator and high order duffing equation,” International Journal of Modern Physics B, vol. 23, no. 32, pp. 5915–5927, 2009. View at Publisher · View at Google Scholar · View at Scopus
  5. D. Q. Zeng and Y. Y. Lee, “Analysis of strongly nonlinear oscillator using the max-min approach,” International Journal of Nonlinear Sciences and Numerical Simulation, vol. 10, no. 10, pp. 1361–1368, 2009. View at Google Scholar · View at Scopus
  6. D. Q. Zeng, “Nonlinear oscillator with discontinuity by the max-min approach,” Chaos, Solitons & Fractals, vol. 42, no. 5, pp. 2885–2889, 2009. View at Publisher · View at Google Scholar · View at Scopus
  7. Y. Y. Shen and L. F. Mo, “The max-min approach to a relativistic equation,” Computers and Mathematics with Applications, vol. 58, no. 11-12, pp. 2131–2133, 2009. View at Publisher · View at Google Scholar · View at Scopus
  8. S. A. Demirbaǧ and M. O. Kaya, “Application of He's max-min approach to a generalized nonlinear discontinuity equation,” International Journal of Nonlinear Sciences and Numerical Simulation, vol. 11, no. 4, pp. 269–272, 2010. View at Google Scholar · View at Scopus
  9. S. S. Ganji, D. D. Ganji, A. G. Davodi, and S. Karimpour, “Analytical solution to nonlinear oscillation system of the motion of a rigid rod rocking back using max-min approach,” Applied Mathematical Modelling, vol. 34, no. 9, pp. 2676–2684, 2010. View at Publisher · View at Google Scholar · View at Scopus
  10. S. S. Ganji, A. Barari, and D. D. Ganji, “Approximate analysis of two-mass-spring systems and buckling of a column,” Computers & Mathematics with Applications, vol. 61, no. 4, pp. 1088–1095, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. R. E. Newton, Fragility Assessment Theory and Practice, Monterey Research Laboratory, Monterey, Calif, USA, 1968.
  12. G. J. Burgess, “Product fragility and damage boundary theory,” Packaging Technology and Science, vol. 15, no. 10, pp. 5–10, 1988. View at Google Scholar
  13. J. Wang, Y. Khan, R. H. Yang et al., “Dynamical behaviors of a coupled cushioning packaging model with linear and nonlinear stiffness,” Arabian Journal for Science and Engineering, 2013. View at Publisher · View at Google Scholar
  14. J. Wang, Z. W. Wang, L. X. Lu, Y. Zhu, and Y. G. Wang, “Three-dimensional shock spectrum of critical component for nonlinear packaging system,” Shock and Vibration, vol. 18, no. 3, pp. 437–445, 2011. View at Publisher · View at Google Scholar · View at Scopus