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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 274091, 14 pages
http://dx.doi.org/10.1155/2015/274091
Research Article

Static Analytical Approach of Moderately Thick Cylindrical Ribbed Shells Based on First-Order Shear Deformation Theory

1School of Highway, Chang’an University, Xi’an 710064, China
2School of Science, Xi’an University of Architecture and Technology, Xi’an 710055, China

Received 22 December 2014; Revised 12 February 2015; Accepted 12 February 2015

Academic Editor: Francesco Tornabene

Copyright © 2015 Jinxing Lai 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. S. P. Timoshenko and S. Woinowosky-Krieger, Theory of Plates and Shells, McGraw-Hill, New York, NY, USA, 1959.
  2. W. Flugge, Stresses in Shells, Springer, Berlin, Germany, 1973. View at MathSciNet
  3. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, McGraw-Hill, New York, NY, USA, 1970.
  4. P. E. Tovstik, Stability of Thin Shells, Nauka, Moscow, Russia, 1995. View at MathSciNet
  5. G. Y. Jin, T. Ye, X. L. 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
  6. Y. Huang, H. R. Huang, and F. S. He, The Linear Theory of Elastic Shells, Science Press, Beijing, China, 2007.
  7. M. Di Sciuva, “An improved shear-deformation theory for moderately thick multilatered anisotropic shells and plates,” Journal of Applied Mechanics, Transactions ASME, vol. 54, no. 3, pp. 589–596, 1987. View at Google Scholar · View at Scopus
  8. N. N. Huang, “Influence of shear correction factors in the higher order shear deformation laminated shell theory,” International Journal of Solids and Structures, vol. 31, no. 9, pp. 1263–1277, 1994. View at Publisher · View at Google Scholar · View at Scopus
  9. A. Tabiei and G. Simitses, “Imperfection sensitivity of shear deformable moderately thick laminated cylindrical shells,” Computers & Structures, vol. 62, no. 1, pp. 165–174, 1997. View at Publisher · View at Google Scholar · View at Scopus
  10. R. A. Chaudhuri and K. R. Abu-Arja, “Static analysis of moderately-thick finite antisymmetric angle-ply cylindrical panels and shells,” International Journal of Solids and Structures, vol. 28, no. 1, pp. 1–15, 1991. View at Publisher · View at Google Scholar · View at Scopus
  11. A. Chakrabarti, B. Mukhopadhyay, and R. K. Bera, “Nonlinear stability of a shallow unsymmetrical heated orthotropic sandwich shell of double curvature with orthotropic core,” International Journal of Solids and Structures, vol. 44, no. 16, pp. 5412–5424, 2007. View at Publisher · View at Google Scholar · View at Scopus
  12. C. O. Horgan and J. K. Knowles, “Recent developments concerning Saint-Venant's principle,” Advances in Applied Mechanics, vol. 23, pp. 179–269, 1983. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. M. Khalifa Ahmed, “Elastic buckling behaviour of a four-lobed cross section cylindrical shell with variable thickness under non-uniform axial loads,” Mathematical Problems in Engineering, vol. 2009, Article ID 829703, 17 pages, 2009. View at Publisher · View at Google Scholar · View at Scopus
  14. W.-Y. Jung and S.-C. Han, “An 8-node shell element for nonlinear analysis of shells using the refined combination of membrane and shear interpolation functions,” Mathematical Problems in Engineering, vol. 2013, Article ID 276304, 16 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  15. The MathWorks Inc, MATLAB Getting Started Guide, The MathWorks Inc, 2009.
  16. Y. Huang, C.-X. Guo, and Y.-Y. Wang, “Displacement solution of medium cylindrical shells' bending problem,” Journal of Xi'an University of Architecture and Technology, vol. 39, no. 6, pp. 746–751, 2007. View at Google Scholar · View at Scopus