A Study on the Free Vibration of the Prestressed Joined Cylindricalspherical Shell Structures

Abstract:

The free vibration characteristics of the prestressed joined spherical–cylindrical shell with free-free boundary conditions are investigated. The Flügge shell theory and Rayleigh-Ritz energy method are applied in order to analyze the free vibration characteristics of the joined shell. In the modal test, the LMS software is used to calculate mode shapes and natural frequencies of the joined shell structure. The natural frequencies and mode shapes are calculated numerically and they are compared with those of the FEM and modal test to confirm the reliability of the analytical solution. The effects of the shallowness and length of the cylindrical shell to the free vibrational behavior of joined shell structure and the effect of internal pressure on the modal charactristics are investigated.

• Periodical: Applied Mechanics and Materials (Volume 390)
• Pages: 207-214
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.390.207
• Online since: August 2013
• Authors: Mahdi Yusefzad, Firouz Bakhtiari Nejad
• Keywords: Finite Element Method (FEM), Free Vibration, Modal Analysis, Prestressed, Rayleigh-Ritz, Shell

References

[1] Tavakoli MS, Singh R. Eigensolution of joined/hermitic shell structures using the state space method. Journal of Sound and Vibration 1989; 100(1): 92–123.

DOI: 10.1016/0022-460x(89)90522-1

[2] Huang DT, Soedel W. Natural frequencies and mode shapes of s circular plate welded to a circular cylindrical shell at arbitrary axial position. Journal of Sound and Vibration 1993; 163(3): 403–27.

DOI: 10.1006/jsvi.1993.1130

[3] YimJS, Sohn DS, Lee YS. Free vibration of clamped–free circular cylindrical shell with a plate attached at an arbitrary axial position. Journal of Sound and Vibration 1998; 213(1): 75–88.

DOI: 10.1006/jsvi.1997.1498

[4] Peterson MR, Body DE. Free vibrations of circular cylinders with longitudinal, interior partitions. Journal of Sound and Vibration 1978; 60(1): 45–62.

DOI: 10.1016/0022-460x(78)90400-5

[5] Irie T, Yamada G, Muramoto Y. Free vibration of joined conical–cylindrical shells. Journal of Sound and Vibration 1984; 95(1): 31–9.

DOI: 10.1016/0022-460x(84)90256-6

[6] Saunders H, Paslay PR. Inextensional vibration of a sphere–cone shell combination. Journal of the Acoustical Society of America 1959; 31(5): 579–83.

DOI: 10.1121/1.1907755

[7] Blevins RD. Formulas for Natural Frequency and Mode Shape. New York: VanNostrand Reinhold Company; (1979).

[8] Soedel W. Vibrations of Shells and Plates. Second. New York: Marcel Dekker Inc; (1993).

[9] Lee YS, KimYW. Vibration analysis of the rotating composite cylindrical shells with orthogonal stiffeners. Computers and Structures 1998; 69(2): 271–81.

DOI: 10.1016/s0045-7949(97)00047-3

[10] Lee YS, KimYW. The effect of boundary conditions on the natural frequencies for the rotating composite cylindrical shells with orthogonal stiffeners. Advances in Engineering Software 1999; 30(9–11): 649–55.

DOI: 10.1016/s0965-9978(98)00115-x

[11] Young-Shin Lee , Myung-Seog Yang, Hyun-Soo Kim, Jae-Hoon Kim. A study on the free vibration of the joined cylindrical–spherical shell structures. Computers and Structures 80 (2002) 2405–2414.

DOI: 10.1016/s0045-7949(02)00243-2