The Free Vibration of Non-Homogeneous Truncated Conical Shells on a Winkler Foundation

Volume: 1 Number: 1 March 1, 2009
  • A.h. Sofiyev
  • M. Avcar
  • P. Ozyigit
  • S. Adigozel
EN

The Free Vibration of Non-Homogeneous Truncated Conical Shells on a Winkler Foundation

Abstract

In this work, free vibration of non-homogeneous truncated conical shells on a Winkler foundation is studied. After formed the fundamental relations and governing equations, the dimensionless frequency parameter of the non-homogeneous isotropic truncated conical shell with or without an elastic foundation are found. Finally, effects of variations of the shell characteristics, non-homogeneity and the Winkler foundation on minimum values of the dimensionless frequency parameter have been studied. The results are compared with other works in open literature

Keywords

References

  1. Pasternak, P.L., On a New Method of Analysis of an Elastic Foundation by Means of two Foundation Constants. Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu i Arkhitekture. Moscow, USSR, 1954. (in Russian)
  2. Bajenov V.A. The Bending of the Cylindrical Shells in an Elastic Medium, Kiev: Visha Shkola, (in Russian), 1975.
  3. Sun, B. and Huang, Y., The exact solution for the general bending problems of conical shells on the elastic foundation. Appl.Math.Mech.Engl.Ed.9, 5, 455-469,1988.
  4. Paliwal, D.N., Pandey, R.K. and Nath, T., Free vibration of circular cylindrical shell on Winkler and Pasternak foundation. Int. J. Press. Vessel. Piping, 69, 79-89, 1996.
  5. Amabili, M. and Dalpiaz, G., Free vibration of cylindrical shells with non-axisymmetric mass distribution on elastic bed, Meccanica 32, 71–84, 1997.
  6. Ng, T.Y. and Lam, K.Y. Free vibrations analysis of rotating circular cylindrical shells on an elastic foundation. J. Vibration and Acoustics, 122, 85-89, 2000.
  7. Civalek, O., Geometrically nonlinear dynamic analysis of doubly curved isotropic shells resting on elastic foundation by a combination of harmonic differential quadrature-finite difference methods. Int. J. Pressure Vessels and Piping, 82, 470-479, 2005.
  8. Tj H.G., Mikami, T., Kanie, S., Sato M., Free vibrations of fluid-filled cylindrical shells on elastic foundations. Thin-Walled Structures, 43, 11, 1746-1762, 2005

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

A.h. Sofiyev This is me

M. Avcar This is me

P. Ozyigit This is me

S. Adigozel This is me

Publication Date

March 1, 2009

Submission Date

March 1, 2009

Acceptance Date

-

Published in Issue

Year 2009 Volume: 1 Number: 1

APA
Sofiyev, A., Avcar, M., Ozyigit, P., & Adigozel, S. (2009). The Free Vibration of Non-Homogeneous Truncated Conical Shells on a Winkler Foundation. International Journal of Engineering and Applied Sciences, 1(1), 34-41. https://izlik.org/JA37CF63HE
AMA
1.Sofiyev A, Avcar M, Ozyigit P, Adigozel S. The Free Vibration of Non-Homogeneous Truncated Conical Shells on a Winkler Foundation. IJEAS. 2009;1(1):34-41. https://izlik.org/JA37CF63HE
Chicago
Sofiyev, A.h., M. Avcar, P. Ozyigit, and S. Adigozel. 2009. “The Free Vibration of Non-Homogeneous Truncated Conical Shells on a Winkler Foundation”. International Journal of Engineering and Applied Sciences 1 (1): 34-41. https://izlik.org/JA37CF63HE.
EndNote
Sofiyev A, Avcar M, Ozyigit P, Adigozel S (March 1, 2009) The Free Vibration of Non-Homogeneous Truncated Conical Shells on a Winkler Foundation. International Journal of Engineering and Applied Sciences 1 1 34–41.
IEEE
[1]A. Sofiyev, M. Avcar, P. Ozyigit, and S. Adigozel, “The Free Vibration of Non-Homogeneous Truncated Conical Shells on a Winkler Foundation”, IJEAS, vol. 1, no. 1, pp. 34–41, Mar. 2009, [Online]. Available: https://izlik.org/JA37CF63HE
ISNAD
Sofiyev, A.h. - Avcar, M. - Ozyigit, P. - Adigozel, S. “The Free Vibration of Non-Homogeneous Truncated Conical Shells on a Winkler Foundation”. International Journal of Engineering and Applied Sciences 1/1 (March 1, 2009): 34-41. https://izlik.org/JA37CF63HE.
JAMA
1.Sofiyev A, Avcar M, Ozyigit P, Adigozel S. The Free Vibration of Non-Homogeneous Truncated Conical Shells on a Winkler Foundation. IJEAS. 2009;1:34–41.
MLA
Sofiyev, A.h., et al. “The Free Vibration of Non-Homogeneous Truncated Conical Shells on a Winkler Foundation”. International Journal of Engineering and Applied Sciences, vol. 1, no. 1, Mar. 2009, pp. 34-41, https://izlik.org/JA37CF63HE.
Vancouver
1.A.h. Sofiyev, M. Avcar, P. Ozyigit, S. Adigozel. The Free Vibration of Non-Homogeneous Truncated Conical Shells on a Winkler Foundation. IJEAS [Internet]. 2009 Mar. 1;1(1):34-41. Available from: https://izlik.org/JA37CF63HE

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