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Mathematical Problems in Engineering
Volume 2016, Article ID 5432516, 22 pages
http://dx.doi.org/10.1155/2016/5432516
Research Article

Nonlinear Dynamic Behavior Analysis of Pressure Thin-Wall Pipe Segment with Supported Clearance at Both Ends

School of Mechanical Engineering & Automation, Northeastern University, Shenyang, Liaoning 110819, China

Received 24 March 2016; Revised 30 May 2016; Accepted 31 May 2016

Academic Editor: Francesco Tornabene

Copyright © 2016 Chaofeng Li et al. 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. H. W. Lee and M. K. Kwak, “Free vibration analysis of a circular cylindrical shell using the Rayleigh-Ritz method and comparison of different shell theories,” Journal of Sound and Vibration, vol. 353, pp. 344–377, 2015. View at Publisher · View at Google Scholar · View at Scopus
  2. K. Y. Lam and C. T. Loy, “Effects of boundary conditions on frequencies of a multi-layered cylindrical shell,” Journal of Sound and Vibration, vol. 188, no. 3, pp. 363–384, 1995. View at Publisher · View at Google Scholar · View at Scopus
  3. C. T. Loy and K. Y. Lam, “Vibration of thick cylindrical shells on the basis of three-dimensional theory of elasticity,” Journal of Sound and Vibration, vol. 226, no. 4, pp. 719–737, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  4. C. T. Loy, K. Y. Lam, and J. N. Reddy, “Vibration of functionally graded cylindrical shells,” International Journal of Mechanical Sciences, vol. 41, no. 3, pp. 309–324, 1999. View at Publisher · View at Google Scholar · View at Scopus
  5. C. T. Loy, K. Y. Lam, and C. Shu, “Analysis of cylindrical shells using generalized differential quadrature,” Shock and Vibration, vol. 4, no. 3, pp. 193–198, 1997. View at Publisher · View at Google Scholar · View at Scopus
  6. X. M. Zhang, G. R. Liu, and K. Y. Lam, “Vibration analysis of thin cylindrical shells using wave propagation approach,” Journal of Sound and Vibration, vol. 239, no. 3, pp. 397–403, 2001. View at Publisher · View at Google Scholar · View at Scopus
  7. X. Xie, G. Jin, and Z. Liu, “Free vibration analysis of cylindrical shells using the Haar wavelet method,” International Journal of Mechanical Sciences, vol. 77, pp. 47–56, 2013. View at Publisher · View at Google Scholar · View at Scopus
  8. G. Xie, “Free vibration analysis of circular cylindrical shells using transfer matrix method,” in Proceedings of the International Conference on Electric Information and Control Engineering (ICEICE '11), pp. 423–426, Wuhan, China, April 2011. View at Publisher · View at Google Scholar · View at Scopus
  9. M. J. Ebrahimi and M. M. Najafizadeh, “Free vibration analysis of two-dimensional functionally graded cylindrical shells,” Applied Mathematical Modelling, vol. 38, no. 1, pp. 308–324, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. S. Sun, S. Chu, and D. Cao, “Vibration characteristics of thin rotating cylindrical shells with various boundary conditions,” Journal of Sound and Vibration, vol. 331, no. 18, pp. 4170–4186, 2012. View at Publisher · View at Google Scholar · View at Scopus
  11. A. V. Lopatin and E. V. Morozov, “Fundamental frequency of the laminated composite cylindrical shell with clamped edges,” International Journal of Mechanical Sciences, vol. 92, pp. 35–43, 2015. View at Publisher · View at Google Scholar · View at Scopus
  12. Y. Wang, L. Liang, X. Guo, J. Li, J. Liu, and P. Liu, “Nonlinear vibration response and bifurcation of circular cylindrical shells under traveling concentrated harmonic excitation,” Acta Mechanica Solida Sinica, vol. 26, no. 3, pp. 277–291, 2013. View at Publisher · View at Google Scholar · View at Scopus
  13. T. Dey and L. S. Ramachandra, “Dynamic stability of simply supported composite cylindrical shells under partial axial loading,” Journal of Sound and Vibration, vol. 353, pp. 272–291, 2015. View at Publisher · View at Google Scholar · View at Scopus
  14. M. R. Isvandzibaei, H. Jamaluddin, and R. I. Raja Hamzah, “Frequency analysis of multiple layered cylindrical shells under lateral pressure with asymmetric boundary conditions,” Chinese Journal of Mechanical Engineering, vol. 27, no. 1, pp. 23–31, 2014. View at Publisher · View at Google Scholar · View at Scopus
  15. M. R. Isvandzibaei, H. Jamaluddin, and R. I. R. Hamzah, “Natural frequency characteristics of thin-walled homogeneous and manifold layered cylindrical shells under pressure using energy method,” Journal of Central South University, vol. 21, no. 2, pp. 521–532, 2014. View at Publisher · View at Google Scholar · View at Scopus
  16. M. R. Isvandzibaei, H. Jamaluddin, and R. I. Raja Hamzah, “Effects of uniform interior pressure distribution on vibration of FGM cylindrical shell with rings support based on first-order theory subjected to ten boundary conditions,” Acta Mechanica, vol. 225, no. 7, pp. 2085–2109, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. F. Forouzesh and A. A. Jafari, “Radial vibration analysis of pseudoelastic shape memory alloy thin cylindrical shells by the differential quadrature method,” Thin-Walled Structures, vol. 93, pp. 158–168, 2015. View at Publisher · View at Google Scholar · View at Scopus
  18. G. Jin, T. Ye, Y. Chen, Z. Su, and Y. Yan, “An exact solution for the free vibration analysis of laminated composite cylindrical shells with general elastic boundary conditions,” Composite Structures, vol. 106, pp. 114–127, 2013. View at Publisher · View at Google Scholar · View at Scopus
  19. G. Jin, C. Yang, Z. Liu, S. Gao, and C. Zhang, “A unified method for the vibration and damping analysis of constrained layer damping cylindrical shells with arbitrary boundary conditions,” Composite Structures, vol. 130, pp. 124–142, 2015. View at Publisher · View at Google Scholar · View at Scopus
  20. G. Jin, T. Ye, X. Ma, Y. Chen, Z. Su, and X. Xie, “A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions,” International Journal of Mechanical Sciences, vol. 75, pp. 357–376, 2013. View at Publisher · View at Google Scholar · View at Scopus
  21. Y. Qu, Y. Chen, X. Long, H. Hua, and G. Meng, “Free and forced vibration analysis of uniform and stepped circular cylindrical shells using a domain decomposition method,” Applied Acoustics, vol. 74, no. 3, pp. 425–439, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. L. Dai, T. Yang, J. Du, W. L. Li, and M. J. Brennan, “An exact series solution for the vibration analysis of cylindrical shells with arbitrary boundary conditions,” Applied Acoustics, vol. 74, no. 3, pp. 440–449, 2013. View at Publisher · View at Google Scholar · View at Scopus
  23. Y. Chen, G. Jin, and Z. Liu, “Free vibration analysis of circular cylindrical shell with non-uniform elastic boundary constraints,” International Journal of Mechanical Sciences, vol. 74, pp. 120–132, 2013. View at Publisher · View at Google Scholar · View at Scopus
  24. H. Zhou, W. Li, B. Lv, and W. L. Li, “Free vibrations of cylindrical shells with elastic-support boundary conditions,” Applied Acoustics, vol. 73, no. 8, pp. 751–756, 2012. View at Publisher · View at Google Scholar · View at Scopus
  25. D. Shi, Y. Zhao, Q. Wang, X. Teng, and F. Pang, “A unified spectro-geometric-ritz method for vibration analysis of open and closed shells with arbitrary boundary conditions,” Shock and Vibration, vol. 2016, Article ID 4097123, 30 pages, 2016. View at Publisher · View at Google Scholar
  26. S. Sun, D. Cao, and Q. Han, “Vibration studies of rotating cylindrical shells with arbitrary edges using characteristic orthogonal polynomials in the Rayleigh-Ritz method,” International Journal of Mechanical Sciences, vol. 68, pp. 180–189, 2013. View at Publisher · View at Google Scholar · View at Scopus
  27. L. Liu, D. Cao, and S. Sun, “Vibration analysis for rotating ring-stiffened cylindrical shells with arbitrary boundary conditions,” Journal of Vibration and Acoustics, vol. 135, no. 6, Article ID 061010, 2013. View at Publisher · View at Google Scholar · View at Scopus
  28. F. Bakhtiari-Nejad and S. M. Mousavi Bideleh, “Nonlinear free vibration analysis of prestressed circular cylindrical shells on the Winkler/Pasternak foundation,” Thin-Walled Structures, vol. 53, pp. 26–39, 2012. View at Publisher · View at Google Scholar · View at Scopus
  29. A. G. Shah, T. Mahmood, M. N. Naeem, Z. Iqbal, and S. H. Arshad, “Vibrations of functionally graded cylindrical shells based on elastic foundations,” Acta Mechanica, vol. 211, no. 3-4, pp. 293–307, 2010. View at Publisher · View at Google Scholar · View at Scopus
  30. A. A. Khdeir and J. N. Reddy, “Influence of edge conditions on the modal characteristics of cross-ply laminated shells,” Computers and Structures, vol. 34, no. 6, pp. 817–826, 1990. View at Publisher · View at Google Scholar · View at Scopus