113
Views
6
CrossRef citations to date
0
Altmetric
Articles

Analysis of free vibration of functionally graded material cylinders by Hermitian collocation meshless method

&
Pages 95-103 | Received 21 Apr 2014, Accepted 29 Sep 2014, Published online: 15 Dec 2015

References

  • Allahverdizadeh, A., M. H. Naei, and M. Nikkhah Bahrami. 2008. “Nonlinear Free and Forced Vibration Analysis of Thin Circular Functionally Graded Plates.” Journal of Sound and Vibration 310: 966–984.10.1016/j.jsv.2007.08.011
  • Ansari, R., and M. Darvizeh. 2008. “Prediction of Dynamic Behaviour of FGM Shells under Arbitrary Boundary Conditions.” Composite Structures 85: 284–292.10.1016/j.compstruct.2007.10.037
  • Haddadpour, H., S. Mahmoudkhani, and H. M. Navazi. 2007. “Free Vibration Analysis of Functionally Graded Cylindrical Shells including Thermal Effects.” Thin-Walled Structures 45: 591–599.10.1016/j.tws.2007.04.007
  • Hutchinson, J. R. 1972. “Axisymmetric Vibrations of a Free Finite-length Rod.” The Journal of the Acoustical Society of America 51: 233–240.10.1121/1.1912835
  • Hutchinson, J. R. 1996. “Comments on Accurate Vibration Frequencies of Circular Cylinders from Three-dimensional Analysis.” The Journal of the Acoustical Society of America 100: 1894–1895.10.1121/1.416203
  • Kadoli, R., and N. Ganesan. 2006. “Buckling and Free Vibration Analysis of Functionally Graded Cylindrical Shells Subjected to a Temperature-specified Boundary Condition.” Journal of Sound and Vibration 289: 450–480.10.1016/j.jsv.2005.02.034
  • Leissa, A. W., and J. So. 1995. “Accurate Vibration Frequencies of Circular Cylinders from Three Dimensional Analysis.” The Journal of the Acoustical Society of America 98: 2136–2141.10.1121/1.414403
  • Leissa, A. W., and J. So. 1995. “Comparisons of Vibration Frequencies for Rods and Beams from One-dimensional and Three-dimensional Analyses.” The Journal of the Acoustical Society of America 98: 2122–2135.10.1121/1.414331
  • Liu, G. R., and Y. T. Gu. 2005. An Introduction to Meshfree Methods and Their Programig. Springer, New York: Springer press.
  • Loy, C. T., K. Y. Lam, and J. N. Reddy. 1999. “Vibration of Functionally Graded Cylindrical Shells.” International Journal of Mechanical Sciences 41: 309–324.10.1016/S0020-7403(98)00054-X
  • Mollarazi, H. R., M. Foroutan, and R. Moradi-Dastjerdi. 2012. “Analysis of Free Vibration of Functionally Graded Material (FGM) Cylinders by a Meshless Method.” Journal of Composite Materials 46: 507–515.10.1177/0021998311413685
  • Pradhan, S. C., C. T. Loy, and K.Y. Lam. 2000. “Vibration Characteristics of Functionally Graded Cylindrical Shells under Various Boundary Conditions.” Applied Acoustics 61: 111–129.10.1016/S0003-682X(99)00063-8
  • Santos, H., C. M. Mota Soares, C. A. Mota Soares, and J. N. Reddy. 2009. “A Semi-analytical Finite Element Model for the Analysis of Cylindrical Shells Made of Functionally Graded Materials.” Composite Structures 91: 427–43210.1016/j.compstruct.2009.04.008
  • Zhi-yuan, C., and W. Hua-ning. 2007. “Free Vibration of FGM Cylindrical Shells with Holes under Various Boundary Conditions.” Journal of Sound and Vibration 306: 227–237.10.1016/j.jsv.2007.05.019
  • Zhou, D., Y. K. Cheung, S. H. Lo, and F. T. K. Au. 2003. “3D Vibration Analysis of Solid and Hollow Circular Cylinders via Chebyshev-Ritz Method.” Computer Methods in Applied Mechanics and Engineering 192: 1575–1589.10.1016/S0045-7825(02)00643-6

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.