A Numerical Solution for Vibration Analysis of the Stiffened Variable-Thickness Conical Shells

Wei Ning; Feng Sheng Peng; Nan Wang; Dong Sheng Zhang

doi:10.4028/www.scientific.net/AMM.757.121

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 757A Numerical Solution for Vibration Analysis of the...

A Numerical Solution for Vibration Analysis of the Stiffened Variable-Thickness Conical Shells

Abstract:

The free vibrations of the stiffened hollow conical shells with different variable thickness distribution modes are investigated in detail in the context of Donnel-Mushtari conical shell theory. Two sets of boundary conditions have been considered. The algebraic energy equations of the conical shell and the stiffeners are established separately. The Rayleigh-Ritz method is used to equate maximum strain energy to maximum kinetic energy which leads to a standard linear eigenvalue problem. Numerical results are presented graphically for different geometric parameters. The parametric study reveals the characteristic behavior which is useful in selecting the shell thickness distribution modes and the stiffener type. The comparison between the present results and those of finite element method shows that the present results agree well with those of finite element method.

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Periodical:

Applied Mechanics and Materials (Volume 757)

Pages:

121-125

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.757.121

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Online since:

April 2015

Authors:

Wei Ning*, Feng Sheng Peng, Nan Wang, Dong Sheng Zhang

Keywords:

Conical Shells, Free Vibration Analysis, Fundamental Frequency, String/Ring Stiffener, Variable Thickness

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References

[1] G.A. Bacon and C. W. Bert, Unsymmetric free vibration of Orthotropic Sandwich shells of revolution. AIAA Journal. 5(1967)413-417.

DOI: 10.2514/3.3995

Google Scholar

[2] C. B. Sharma and D.J. Johns, Vibration characteristics of clamped-free and clamped ring circular cylindrical shell, Journal of Sound and Vibration. 14(1971) 459-474.

DOI: 10.1016/0022-460x(71)90575-x

Google Scholar

[3] S. S. Rao and E.S. Reddy, Optimum design of stiffened conical shell with natural frequency constraints. Computers and Structures. 14(1981)103-110.

DOI: 10.1016/0045-7949(81)90089-4

Google Scholar

[4] M. H Schneider, R. F. Snell, J. J. Tracy and D. R Powers, Bucking and vibration of externally pressurized conical shells with continuous and discontinuous rings. American Institute of Aeronautics and astronautics journal. 29(1991)1515-1522.

DOI: 10.2514/3.10767

Google Scholar

[5] D.M. Raj, R. Narayanan and A. G Khadakkar, Effect of ring stiffeners on the vibration of cylindrical and conical shell models. Journal of Sound and Vibration. 179(1995)413-426.

DOI: 10.1006/jsvi.1995.0027

Google Scholar