Free vibration analysis of an eccentric hollow cylinder using exact 3D elasticity theory

Journal of Sound and Vibration

Volumn 326, Issue 3-5, 2009, Pages 687-702

  Hasheminejad, Seyyed M ^a   Mirzaei, Yaser ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

3D ELASTICITY; CIRCULAR CAVITY; CYLINDRICAL WAVE FUNCTION; DEGENERATE MODES; EIGEN FREQUENCIES; FINITE ELEMENT PACKAGES; FINITE LENGTH; FREE VIBRATION; FREE VIBRATION CHARACTERISTIC; FREE-VIBRATION ANALYSIS; FREQUENCY SPECTRA; HOLLOW CYLINDERS; LENGTH RATIO; NATURAL VIBRATION; NUMERICAL RESULTS; ORTHOGONAL SERIES; RADIUS RATIO; RESONANT FREQUENCIES; SHEAR DIAPHRAGM; TRANSLATIONAL ADDITION THEOREMS;

CIRCULAR CYLINDERS; ELASTICITY; FOURIER ANALYSIS; NATURAL FREQUENCIES; SPECTROSCOPY; WAVE FUNCTIONS;

THREE DIMENSIONAL;

EID: 68049110426     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2009.05.014     Document Type: Article

References (24)

1. A.W. Leissa, Vibration of Shells, (NASA SP-288), US Government Printing Office, 1973.
2. Soldatos K.P. Review of three dimensional dynamic analyses of circular cylinders and cylindrical shells. Applied Mechanics Reviews 47 (1994) 501-516
3. Pochhammer L. On the propagation velocities of small oscillations in an unlimited isotropic circular cylinder. Zeitschrift fur Reine und Angewandte Mathematik 81 (1876) 324-336
4. Hutchinson J.R., and E1-Azhari S.A. Vibrations of free hollow circular cylinder. Journal of Applied Mechanics 53 (1986) 641-647
5. Loy C.T., and Lam K.Y. Vibration of thick cylindrical shells on the basis of three dimensional theory of elasticity. Journal of Sound and Vibration 226 (1999) 719-737
6. Mofakhami M.R., Toudeshky H.H., and Hashemi Sh.H. Finite cylinder vibrations with different end boundary conditions. Journal of Sound and Vibration 297 (2006) 293-314
7. Cheng L., Li Y.Y., and Yam L.H. Vibration analysis of annular-like plates. Journal of Sound and Vibration 262 (2003) 1153-1170
8. Khurasia H.B., and Rewtant S. Vibration analysis of circular plates with hole. Journal of Applied Mechanics 45 (1978) 215-217
9. Laura P.A.A., Filipich C.P., Rossi R.E., and Reyes J.A. Vibrations of rings of variable cross section. Applied Acoustics 25 (1988) 225-234
10. Hwang R.S., Fox C.H.J., and McWilliam S. The in-plane vibration of thin rings with in-plane profile variations-part I: general background and theoretical formulation. Journal of Sound and Vibration 220 (1999) 497-516
11. Zhong H., and Yu T. Flexural vibration analysis of an eccentric annular Mindlin plate. Archive of Applied Mechanics 77 (2007) 185-195
12. Golovchan V.T. Plane vibration of an eccentric cylinder. Soviet Applied Mechanics 5 (1972) 543-546
13. Tonin R.F., and Bies D.A. Free vibration of a circular cylinder with variable thickness. Journal of Sound and Vibration 62 (1979) 165-180
14. Suzuki K., and Leissa A.W. Exact solutions for the free vibrations of open cylindrical shells with circumferentially varying curvature and thickness. Journal of Sound and Vibration 107 (1986) 1-15
15. Suzuki K., and Leissa A.W. Analysis of free vibrations of noncircular thick cylindrical shells having circumferentially varying thickness. International Journal of Solids and Structures 26 (1990) 255-270
16. Kumar V., and Singh A.V. Vibration analysis of non-circular cylindrical shells using Bezier function. Journal of Sound and Vibration 161 (1993) 333-354
17. Toorani M.H., and Lakis A.A. Free vibrations of non-uniform composite cylindrical shells. Nuclear Engineering and Design 236 (2006) 1748-1758
18. Wowk V. Machinery Vibration (2000), McGraw-Hill, New York
19. Tiersten H.F., and Shick D.V. Resonant wave propagation in gun tubes with eccentric bores. Wave Motion 21 (1995) 75-84
20. Bisegna P., and Caruso G. Frequency split and vibration localization in imperfect rings. Journal of Sound and Vibration 306 (2007) 691-711
21. Pao Y.H., and Mow C.C. Diffraction of Elastic Waves and Dynamics Stress Concentration (1973), Crane Russak, New York
22. Ye.A. Ivanov, Diffraction of Electromagnetic Waves on Two Bodies, Nauka I Tekhnika, 1968.
23. Gerald C.F., and Wheatley P.O. Applied Numerical Analysis (1994), Addison-Wesley, New York
24. ABAQUS, Analysis User's Manual, Version 6.6, on-line documentation.