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Mathematical Problems in Engineering
Volume 2018, Article ID 1871674, 11 pages
https://doi.org/10.1155/2018/1871674
Research Article

Elastic Stress Analysis of Rotating Functionally Graded Annular Disk of Variable Thickness Using Finite Difference Method

1Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL, Canada
2Department of Mechanical and Aerospace Engineering, Malek Ashtar University of Technology, Isfahan, Iran

Correspondence should be addressed to Mohammad Hadi Jalali; ac.num@uodonilalajm

Received 20 July 2017; Accepted 14 February 2018; Published 25 March 2018

Academic Editor: Fiorenzo A. Fazzolari

Copyright © 2018 Mohammad Hadi Jalali and Behrooz Shahriari. 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. M. Bayat, M. Saleem, B. B. Sahari, A. M. S. Hamouda, and E. Mahdi, “Mechanical and thermal stresses in a functionally graded rotating disk with variable thickness due to radially symmetry loads,” International Journal of Pressure Vessels and Piping, vol. 86, no. 6, pp. 357–372, 2009. View at Publisher · View at Google Scholar · View at Scopus
  2. S.-C. Yi, L.-Q. Yao, and B.-J. Tang, “A Novel Higher-Order Shear and Normal Deformable Plate Theory for the Static, Free Vibration and Buckling Analysis of Functionally Graded Plates,” Mathematical Problems in Engineering, vol. 2017, Article ID 6879508, 20 pages, 2017. View at Publisher · View at Google Scholar · View at Scopus
  3. M. H. Jalali, B. Shahriari, M. Ghayour, S. Ziaei-Rad, and S. Yousefi, “Evaluation of dynamic behavior of a rotor-bearing system in operating conditions,” World Academy of Science, Engineering and Technology, International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, vol. 8, no. 10, pp. 1675–1679, 2014. View at Google Scholar
  4. M. Mohammadsalehi, O. Zargar, and M. Baghani, “Study of non-uniform viscoelastic nanoplates vibration based on nonlocal first-order shear deformation theory,” Meccanica, vol. 52, no. 4-5, pp. 1063–1077, 2017. View at Publisher · View at Google Scholar · View at Scopus
  5. H. Lamb and R. V. Southwell, “The Vibrations of a Spinning Disk,” Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, vol. 99, no. 699, pp. 272–280, 1921. View at Google Scholar
  6. R. V. Southwell, “On the Free Transverse Vibrations of a Uniform Circular Disc Clamped at Its Centre; and on the Effects of Rotation,” Proceedings of the Royal Society A Mathematical, Physical and Engineering Sciences, vol. 101, no. 709, pp. 133–153, 1922. View at Publisher · View at Google Scholar
  7. M. Deshpande and C. D. Mote, “In-plane vibrations of a thin rotating disk,” Journal of Vibration and Acoustics, vol. 125, no. 1, pp. 68–72, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Asghari and E. Ghafoori, “A three-dimensional elasticity solution for functionally graded rotating disks,” Composite Structures, vol. 92, no. 5, pp. 1092–1099, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. H. P. Lee and T. Y. Ng, “Vibration and critical speeds of a spinning annular disk of varying thickness,” Journal of Sound and Vibration, vol. 187, no. 1, pp. 39–50, 1995. View at Publisher · View at Google Scholar · View at Scopus
  10. B. Shahriari, M. Jalali, and M. Karamooz Ravari, “Vibration analysis of a rotating variable thickness bladed disk for aircraft gas turbine engine using generalized differential quadrature method,” Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, vol. 231, no. 14, pp. 2739–2749, 2017. View at Publisher · View at Google Scholar
  11. I. D. Kermani, H. R. Mirdamadi, and M. Ghayour, “Nonlinear stability analysis of rotational dynamics and transversal vibrations of annular circular thin plates functionally graded in radial direction by differential quadrature,” Journal of Vibration and Control, vol. 22, no. 10, pp. 2482–2502, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  12. M. H. Jalali, B. Shahriari, O. Zargar, M. Baghani, and M. Baniassadi, “Free vibration analysis of rotating functionally graded annular disc of variable thickness using generalized differential quadrature method,” Scientia Iranica, 2017. View at Publisher · View at Google Scholar
  13. G. J. Nie and R. C. Batra, “Stress analysis and material tailoring in isotropic linear thermoelastic incompressible functionally graded rotating disks of variable thickness,” Composite Structures, vol. 92, no. 3, pp. 720–729, 2010. View at Publisher · View at Google Scholar · View at Scopus
  14. H. Zafarmand and B. Hassani, “Analysis of two-dimensional functionally graded rotating thick disks with variable thickness,” Acta Mechanica, vol. 225, no. 2, pp. 453–464, 2014. View at Publisher · View at Google Scholar · View at Scopus
  15. M. Bayat, M. Saleem, B. B. Sahari, A. M. S. Hamouda, and E. Mahdi, “Analysis of functionally graded rotating disks with variable thickness,” Mechanics Research Communications, vol. 35, no. 5, pp. 283–309, 2008. View at Publisher · View at Google Scholar · View at Scopus
  16. H. Çallioǧlu, N. B. Bektaş, and M. Sayer, “Stress analysis of functionally graded rotating discs: Analytical and numerical solutions,” Acta Mechanica Sinica, vol. 27, no. 6, pp. 950–955, 2011. View at Publisher · View at Google Scholar · View at Scopus
  17. D. P. Gutzwiller and M. G. Turner, “Rapid low fidelity turbomachinery disk optimization,” Advances in Engineering Software, vol. 41, no. 5, pp. 779–791, 2010. View at Publisher · View at Google Scholar · View at Scopus
  18. D. Gutzwiller, Automated design, analysis, and optimization of turbomachinery disks, University of Cincinnati, 2009.
  19. E. Carrera, A. Entezari, M. Filippi, and M. A. Kouchakzadeh, “3D thermoelastic analysis of rotating disks having arbitrary profile based on a variable kinematic 1D finite element method,” Journal of Thermal Stresses, vol. 39, no. 12, pp. 1572–1587, 2016. View at Publisher · View at Google Scholar · View at Scopus
  20. M. A. Kouchakzadeh and A. Entezari, “Analytical solution of classic coupled thermoelasticity problem in a rotating disk,” Journal of Thermal Stresses, vol. 38, no. 11, pp. 1269–1291, 2015. View at Publisher · View at Google Scholar · View at Scopus
  21. A. Entezari and M. A. Kouchakzadeh, “Analytical solution of generalized coupled thermoelasticity problem in a rotating disk subjected to thermal and mechanical shock loads,” Journal of Thermal Stresses, vol. 39, no. 12, pp. 1588–1609, 2016. View at Publisher · View at Google Scholar · View at Scopus
  22. F. Vivio, V. Vullo, and P. Cifani, “Theoretical stress analysis of rotating hyperbolic disk without singularities subjected to thermal load,” Journal of Thermal Stresses, vol. 37, no. 2, pp. 117–136, 2014. View at Publisher · View at Google Scholar · View at Scopus