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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.10 P.1122~1127

10.1631/jzus.2005.A1122


Study on applicability of modal analysis of thin finite length cylindrical shells using wave propagation approach


Author(s):  LI Bing-ru, WANG Xuan-yin, GE Hui-liang, DING Yuan-ming

Affiliation(s):  State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   libingru2000@yahoo.com.cn, xywang@zju.edu.cn

Key Words:  Wave propagation, Natural frequency, Mode shape, Cylindrical shell


LI Bing-ru, WANG Xuan-yin, GE Hui-liang, DING Yuan-ming. Study on applicability of modal analysis of thin finite length cylindrical shells using wave propagation approach[J]. Journal of Zhejiang University Science A, 2005, 6(10): 1122~1127.

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author="LI Bing-ru, WANG Xuan-yin, GE Hui-liang, DING Yuan-ming",
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pages="1122~1127",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A1122"
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%T Study on applicability of modal analysis of thin finite length cylindrical shells using wave propagation approach
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%A WANG Xuan-yin
%A GE Hui-liang
%A DING Yuan-ming
%J Journal of Zhejiang University SCIENCE A
%V 6
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%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A1122

TY - JOUR
T1 - Study on applicability of modal analysis of thin finite length cylindrical shells using wave propagation approach
A1 - LI Bing-ru
A1 - WANG Xuan-yin
A1 - GE Hui-liang
A1 - DING Yuan-ming
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 10
SP - 1122
EP - 1127
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A1122


Abstract: 
Donnell’s thin shell theory and basic equations based on the wave propagation method discussed in detail here, is used to investigate the natural frequencies of thin finite length circular cylindrical shells under various boundary conditions. mode shapes are drawn to explain the circumferential mode number n and axial mode number m, and the natural frequencies are calculated numerically and compared with those of FEM (finite element method) to confirm the reliability of the analytical solution. The effects of relevant parameters on natural frequencies are discussed thoroughly. It is shown that for long thin shells the method is simple, accurate and effective.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[2] Callahan, J., Baruh, H., 1999. A closed-form solution procedure for circular cylindrical shell vibrations. International Journal of Solids and Structures, 36:2973-3013.

[3] Chakravorty, D., Bandyopadhyay, J.N., 1995. On the free vibration of shallow shells. Journal of Sound and Vibration, 185(4):673-684.

[4] Chung, H., 1981. Free vibration analysis of circular cylindrical shells. Journal of Sound and Vibration, 74(3):331-350.

[5] Guo, D., Zheng, Z.C., Chu, F.L., 2002. Vibration analysis of spinning cylindrical shells by finite element method. International Journal of Solids and Structures, 39:725-739.

[6] Junger, M.C., Feit, D., 1986. Sound, Structures, and Their Interaction, Second Edition. The MIT Press.

[7] Kraus, H., 1967. Thin Elastic Shells. John Wiley, New York.

[8] Sharma, C.B., 1974. Calculation of natural frequencies of fixed-free circular cylindrical shells. Journal of Sound and Vibration, 35(1):55-76.

[9] Soedel, W., 1980. A new frequency formula for closed circular cylindrical shells for a large variety of boundary conditions. Journal of Sound and Vibration, 70(3):309-317.

[10] Soedel, W., 1982. On the vibration of shells with Timoshenko-Mindlin type shear deflections and rotatory inertia. Journal of Sound and Vibration, 83(1):67-79.

[11] Zhang, X.M., Liu, G.R., Lam, K.Y., 2001a. Vibration analysis of thin cylindrical shells using wave propagation approach. Journal of Sound and Vibration, 239(3):397-403.

[12] Zhang, X.M., Liu, G.R., Lam, K.Y., 2001b. Frequency analysis of cylindrical panels using a wave propagation approach. Applied Acoustics, 62:527-543.

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