Free vibration analysis of coupled cylindrical shells with springs-lumped mass

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (7) : 209-213.

HU Hao，LI Zheng-liang，YU Wei

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Abstract

The free vibration of coupled cylindrical shell with a plurality of springs-lumped mass for simply supported boundary condition is investigated by substructure receptance method. The coefficients of matrix elements of sub-structures and theory formulas of natural frequencies and modals for coupled cylindrical shell are obtained via receptance method, and are compared with those of other literatures to confirm the validity of the theories in this paper, according to existing results and derivation for equivalent stiffness of springs. The numerical results, for natural frequencies and modals of coupled cylindrical shell with three springs-lumped mass, obtained from the present method are compared with those from the finite element software ANSYS to confirm the reasonability and accuracy of the theories again due to error ignored.

Key words

springs-lumped mass-cylindrical shell / receptance method / free vibration / equivalent stiffness

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HU Hao，LI Zheng-liang，YU Wei. Free vibration analysis of coupled cylindrical shells with springs-lumped mass[J]. Journal of Vibration and Shock, 2016, 35(7): 209-213

References

[1] Wilken I D, Soedel W. The receptance method applied to ring-stiffened cylindricalshells: analysis of modal characteristics[J]. Journal of Sound and Vibration,1976,44(4):563–576.
[2] Huang D T, Soedel W. Study of the forced vibration of shell-plate combinations using the reacceptance method[J].Journal of Sound and Vibration, 1993, 162(2): 341–369.
[3] Huang D T, Soedel W. Natural frequencies and modes of a circular plate welded to a circular cylindrical shell at arbitrary axial positions. Journal of Sound and Vibration,1993, 162(3):403–427.
[4] Huang D T. Influences of small curvatures on the modal characteristics of the joined hermetic shell structures[J]. Journal of Sound and Vibration,2000, 238(1): 85–111.
[5] 赵芝梅，王敏庆. 板壳结构振动功率流的子结构线导纳法研究[J]. 工程力学, 2012,29(8): 297―300.
ZHAO Zhi-mei, WANG Min-qing. A structure line receptance method for analysis of power flow in a clylindrical shell with a floor partition[J]. Journal of Engineering Mechanics, 2012,29(8):297―300. (in Chinese)
[6] 赵芝梅，盛美萍，杨阳. 多点激励下加筋板壳耦合结构的振动特性[J].工程力学, 2013,30(11): 239―244.
ZHAO Zhi-mei, SHENG Mei-ping, YANG Yang. Vibtation of a stiffened shell with a ribbed plate under multi-point excitations[J]. Journal of Engineering Mechanics,2013,30(11):
239―244. (in Chinese)
[7] Allaei D, Soedel W,Yang T Y.Eigenvalues of rings with radial spring attachments[J].Journal of Sound and Vibration,1987,121(3):547–561.
[8] Azimi S. Free vibration of circular plates with elastic or rigid interior support[J]. Journal of Sound andVibration,1988,120(1):37–52.
[9] Amabili M. Free vibration of a fluid-filled circular cylindrical shell with lumped masses attached, using the receptance method[J]. Journal of Shock and Vibration,1996,3(3):159–167.
[10] Achong A. Vibrational analysis of mass loaded plates and shallow shells by the receptance method with application to the steelpan[J]. Journal of Sound and Vibration, 1996,191(2): 207–217.
[11] Amabili M, Garziera R. Vibrations of circular cylindrical shells with nonuniform constraints, elastic bed and added mass; Part I: empty and fluid-filled shells[J]. Journal of Fluids and Structures,2000,14: 669–690.
[12] Amabili M, Garziera R, Carra S. The effect of rotary inertia of added masses on vibrations of empty and fluid-filled circular cylindrical shells[J]. Journal of FluidsandStructures,2005,21: 449–458.
[13] Soedel W. Vibrations of Shells and Plates[M]. Marcel Dekker, New York,1993.
[14] Shyh-Chin Huang, Kao-An Lin. A general receptance theory for vibrations of combined structures[C]. Twelfth International Congress on Sound and Vibration,1114,July,2005,Lisbon.
[15] 贾冬云，曹平周，姜德进. 活塞对大型储气柜柜体抗震性能的影响分析[J]. 合肥工业大学学报,2011,34(1):109-113.
JIA Dong-yun,CAO Ping-zhou, JIANG De-jin. Study of damping effect of piston on seismic performance of large-scale gasholder[J]. Journal of HeFei University of Technology, 2011,34(1):109-113. (in Chinese) [16] Leissa A W. Vibrations of Shells[M]. NASA SP-288,Washington, DC: Government Printing Office,1973.