Three-dimensional vibration analysis of thick, complete conical shells

Journal of Applied Mechanics, Transactions ASME

Volumn 71, Issue 4, 2004, Pages 502-507

  Kang, Jae Hoon ^a   Leissa, Arthur W ^b  

^a Chung Ang University   (South Korea)

^b Veterinary Dentistry and Oral Surgery   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC POLYNOMIALS; CONICAL SHELLS; ISOTROPIC MODULES; THREE DIMENSIONAL (3D) VIBRATIONAL ANALYSIS;

ALGEBRA; CONSTRAINT THEORY; ELASTICITY; MATHEMATICAL MODELS; NATURAL FREQUENCIES; POISSON RATIO; POLYNOMIALS; SHELLS (STRUCTURES); TENSORS;

VIBRATIONS (MECHANICAL);

EID: 12344293703     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1767843     Document Type: Article

References (12)

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2. Leissa, A. W., and So, J., 1995, "Three-Dimensional Vibrations of Truncated Hollow Cones," J. Vib. Control, 1, pp. 145-158.
3. Buchanan, G. R., 2000, "Vibration of Truncated Conical Cylinders of Crystal Class 6/mmm," J. Vib. Control, 6, pp. 985-998.
4. Buchanan, G. R., and Wong, F. T.-I., 2001, "Frequencies and Mode Shapes for Thick Truncated Hollow Cones," Int. J. Mech. Sci., 43, pp. 2815-2832.
5. Leissa, A. W., and Kang, J.-H., 1999, "Three-Dimensional Vibration Analysis of Thick Shells of Revolution," J. Eng. Mech., 125(12), pp. 1365-1371.
6. Kang, J.-H., and Leissa, A. W., 1999, "Three-Dimensional Vibrations of Hollow Cones and Cylinders With Linear Thickness Variations," J. Acoust. Soc. Am., 106(2), pp. 748-755.
7. Kang, J.-H., 1997, "Three-Dimensional Vibration Analysis of Thick Shells of Revolution With Arbitrary Curvature and Variable Thickness," Ph.D. dissertation, The Ohio State University.
8. Sokolnikoff, I. S., 1956, Mathematical Theory of Elasticity, Second Ed., McGraw-Hill, New York.
9. Kantorovich, L. V., and Krylov, V. I., 1958, Approximate Methods in Higher Analysis, Noordhoff, Gronigen, The Netherlands.
10. Ritz, W., 1909, "Über eine neue Methode zur Lösung Gewisser Variationsprobleme der Mathematischen Physik," J. Reine Angew. Math., 135, pp. 1-61.
11. Dreher, J. F., 1966, "Axisymmetic Vibration of Thin Conical Shells," Ph.D. dissertation, The Ohio State University.
12. Dreher, J. F., and Leissa, A. W., 1968, "Axisymmetic Vibration of Thin Conical Shells," Proc: 4th Southwestern Conf. on Theoretical and Appl. Mech, New Orleans, La., Feb. 29-Mar. 1, Pergamon Press, New York, pp. 163-181.