JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Free Vibration Analysis of Axisymmetric Conical Shell
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Free Vibration Analysis of Axisymmetric Conical Shell
Choi, Myung-Soo; Yeo, Dong-Jun; Kondou, Takahiro;
  PDF(new window)
 Abstract
Generally, methods using transfer techniques, like the transfer matrix method and the transfer stiffness coefficient method, find natural frequencies using the sign change of frequency determinants in searching frequency region. However, these methods may omit some natural frequencies when the initial frequency interval is large. The Sylvester-transfer stiffness coefficient method ("S-TSCM") can always obtain all natural frequencies in the searching frequency region even though the initial frequency interval is large. Because the S-TSCM obtain natural frequencies using the number of natural frequencies existing under a searching frequency. In this paper, the algorithm for the free vibration analysis of axisymmetric conical shells was formulated with S-TSCM. The effectiveness of S-TSCM was verified by comparing numerical results of S-TSCM with those of other methods when analyzing free vibration in two computational models: a truncated conical shell and a complete (not truncated) conical shell.
 Keywords
Axisymmetric conical shells;Free vibration;Sylvester`s inertia theorem;Transfer stiffness coefficient method;Transfer matrix method;Finite element method;
 Language
English
 Cited by
 References
1.
H. Saunders, E. J. Wisniewski and P. R. Paslay, 1960, "Vibrations of Conical Shells", Journal of the Acoustical Society of America, Vol. 32, No. 6, pp. 765-772. crossref(new window)

2.
S. K. Sen and P. L. Gould, 1974, "Free Vibration of Shells of Revolution Using FEM", Journal of the Engineering Mechanics Division, American Society of Civil Engineers, Vol. 100, pp. 283-303.

3.
T. Irie, G. Yamada and K. Tanaka, 1984, "Natural Frequencies of Truncated Conical Shells", Journal of Sound and Vibration, Vol. 92, No. 3, pp. 447-453. crossref(new window)

4.
D. J. Yeo, 2005, "Development of Vibrational Analysis Algorithm for Truncated Conical Shells", Journal of the Korean Society for Power System Engineering, Vol. 9, No. 3, pp. 58-65.

5.
M. Choi, T. Kondou and Y. Bonkobara, 2012, "Development of Free Vibration Analysis Algorithm for Beam Structures by Combining Sylvester's Inertia Theorem and Transfer Stiffness Coefficient Method", Journal of Science and Technology, Vol. 26, No. 1, pp. 11-19.

6.
J. W. Demmel, 1997, "Applied Numerical Linear Algebra", Siam, Philadelphia, pp. 202-203.

7.
T. Kondou, T. Ayabe and A. Sueoka, 1997, "Transfer Stiffness Coefficient Method Combined with Concept of Substructure Synthesis Method (Linear Free and Forced Vibration Analyses of a Straight-Line Beam Structure)", JSME International Journal (Series C), Vol. 40, pp. 187-196. crossref(new window)

8.
M. S. Choi, D. J. Yeo, J. H. Byun, J. J. Suh and J. K. Yang, 2007, "In-Plane Vibration Analysis of General Plates", Journal of the Korean Society for Power System Engineering, Vol. 11, No. 4, pp. 78-85.

9.
C. T. F. Ross, 1984, "Finite Element Programs for Axisymmetric Problems in Engineering", Ellis Horwood Limited, Chichester, pp. 105-115.

10.
W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, 2007, "Numerical Recipes, The Art of Scientific Computing (3rd ed.)", Cambridge University Press, New York, pp. 447-449.

11.
A. Sueoka, T. Kondou, D. H. Moon and K. Yamasita, 1998, "A Method of Vibrational Analysis Using a Personal Computer (A Suggested Transfer Influence Coefficient Method)", The Memoirs of the Faculty of Engineering, Kyushu University, Vol. 48, No. 1, pp. 31-46.

12.
JSME, 1998, "JSME Computational Mechanics Handbook, Vol. I, Finite Element Method (Structure Part)", Maruzen, Tokyo, pp. 38.

13.
A. Y. T. Leung, 1993, "Dynamic Stiffness and Substructures", Springer-Verlag, London, pp. 42-44.

14.
M. A. Dokainish, 1972, "A new approach for plate vibration: combination of transfer matrix and finite element technique", ASME Journal of Engineering for Industry, Vol. 94, pp. 526-530. crossref(new window)